Geometry CP. Unit 1 Notes
|
|
- Meryl Poole
- 5 years ago
- Views:
Transcription
1 Geometry CP Unit 1 Notes
2 1.1 The Building Blocks of Geometry The three most basic figures of geometry are:
3 Points Shown as dots. No size. Named by capital letters. Are collinear if a single line can contain them all. (i.e. line) Are coplanar if a single plane can contain them all (i.e. any three points)
4 Coplanar v. Collinear Can three collinear points be coplanar? Yes! Can three coplanar points be collinear? No; this is because they might not all necessarily be on the same line.
5 Lines No thickness. Perfectly straight. Extend foreeeeeeeeeeeeevvvvvvvvvvvvvvvvveeeeeeeeeeeeeeerrrrrrrrrr (in both directions).
6 Planes They don t fly. Extend infinitely in all directions along a flat surface.
7 Segments Part of a line that begins at one point and ends at another. Points are called endpoints. This is also known as Postulate 1.1.1
8 Rays Not from Tampa Bay Part of line that starts at a point and extends infinitely in one direction. Point is called the endpoint of the ray. Known as Postulate 1.1.2
9 Angles Formed by two rays with a common endpoint. Endpoint is called vertex of the angle Rays make the sides of the angle Angles divide a plane into the interior and the exterior of the angle. Also known as postulate 1.1.3
10 Intersections Not just limited to streets! When geometric figures have one or more points in common, they are said to intersect. The set of points in common are called their intersection.
11 So what the heck is a postulate? Throughout the lesson, you ve seen that segments, ray, and angles represent postulate 1.1.1, , and respectively. A postulate is a fundamental geometry idea. Postulates are statements that are accepted as true without proof. Also known as axioms.
12 More postulates (page 12 in text) the intersection of two lines is a point the intersection of two planes is a line through any two points there is exactly one line through any three noncollinear points there is exactly one plane if two points are in a plane, then the line containing them is in the plane.
13 1.2 Measuring Length To determine the length of any segment, we need to use a number line. Number line line that corresponds with real numbers. See the smiley face?
14 Coordinates Where was the smiley face? That s right; at -2. The smiley face represents a coordinate. Coordinate point on number line that represents a real number.
15 Postulate Length Refers to the distance from one point to another. A B Distance in this case goes from either point B to point A or point A to point B. Length can be shown as a- b or b a Substitute in the values in each absolute value equation: -2 4 and 4 (-2) The answer to both problems is 6. Therefore, segment AB is 6 units.
16 Congruency Congruent figures are the same size and shape. If two lines are congruent, you can take one line and put it on top of the other and they will line up perfectly. Symbol for congruence:
17 Postulate Segment Congruence Postulate If two segments have the same length, then the segments are congruent. If two segments are congruent, then they have the same length.
18 Postulate 1.2.3
19 In our example, Point Q was in between point P and point R on a line. This means that PQ + QR = PR This is the Segment Addition Postulate.
20 Additional Geometry Terms Perpendicular Lines two lines that intersect to form a right angle. Parallel Lines two coplanar lines that do not intersect Conjecture statement that you think is true. educated guess
21 Segment Bisector line that divides a segment into two congruent parts. Midpoint location where a segment is bisected. Perpendicular Bisector line that bisects a segment at exactly 90 degrees. Angle Bisector line or ray that divides an angle into two congruent angles.
22 Inscribed circle a circle inside a polygon, touching the polygon at its number of points Circumscribed circle circle outside a polygon, contains all vertices of that polygon Center of an inscribed circle is known as the incenter of a triangle. Center of a circumscribed circle is known as the circumcenter of a triangle.
23 1.6 Motion in Geometry In your groups, huddle up, discuss, and be ready to answer the following questions: What happens if you have an object on your desk, you pick it up, and you put it on the desk behind you? What happens to the minute hand of a clock if you would stare at it long enough (say, about an hour?) What happens if you look into a mirror?
24 In terms of geometry, all of these questions in the team huddle are examples of motion. Notice that in all of these instances, we did not change size or shape. This is called rigid transformation. In geometry, there are three examples of motion.
25 Translation (Slide) In translation, every point of a figure moves in a straight line. All points move the same distance. All points move in the same direction. The paths are parallel.
26 Rotation (Turn) In rotation, every point of a figure moves around a given point known as the center of rotation. A All points move along the same angle measure. In this example, Triangle A is turning?
27 Reflection (Flip) When you think of a reflection, what do you think of? A reflection (in terms of math) sees every point in a geometric figure flipped.
28 1.7 Motion in the coordinate plane Remember that when plotting points, (0, 0) is the origin. When plotting points, the x-value is the distance left or right from the origin. Likewise, the y-value is the distance up or down from the x-value. So what are the ordered pairs here?
29 (1, 7) and (5, 9) So how do we get from point Q to point S? We went to the right 4 and up 2. This is called a transformation. We can use transformation notation to show this.
30 Transformation Notation T (x, y) = (x + 4, y + 2) This means that from the first point plotted, we went to the right 4 (+ 4) and up 2 (+ 2). T (x, y) = (x 4, y 2) This means that from the first point plotted, we went to the left (-4) and down 2 (-2)
31 Team Huddle What would the transformation be for these points? From point T to point U? From point S to point R?
32 Reflections across the x-axis Remember that a reflection is when points are flipped across the line. In this example, the point (2, 3) when flipped across the x-axis leads to the point (2, -3) In other words, when a point is reflected across the x-axis, the y value becomes negative. M (x, y) = (x, -y)
33 Reflections across the y-axis Remember that a reflection is when points are flipped across the line. In this example, the point (3, 4) when flipped across the y-axis leads to the point (-3, 4) In other words, when a point is reflected across the y-axis, the x value becomes negative. M (x, y) = (-x, y)
34 Team Huddle How would the point (-3, 5) be reflected across the y-axis? Across the x- axis?
35 180 Rotations about the Origin In order to figure out a 180 rotation, basically you take your x and y values and multiply them by - 1. If you look at the example, the point (4,2) (shown in blue) was plotted. When you multiply both values by - 1, you get (-4, -2) which is the red point shown to the right.
36 Team Huddle How would the points (-1, -2), (4, -2), and (-1, 3) be rotated 180 about the origin?
37 3.8 Analyzing Polygons with Coordinates Buzzwords: Polygon Slope Parallel Perpendicular Mid Reciprocal In your groups, conduct a team huddle and determine what your group already knows about these terms.
38 This is a coordinate plane. To plot a point, we first have to go left or right (this is the x ). Then we go up or down (this is the y )
39 What would this point be?
40 Slope As you can see, we can create triangles by plotting points on the coordinate plane. Using this triangle, we can also find slope.
41 Slope is rise run Rise is the change in y (or the distance up and down) Run is the change in x (or the distance left to right) What would this slope be?
42 We can also find the slope of a line if we are given two points. To do this, we use the formula y 2 y 1 x 2 x 1
43 Example Given the points (5, 3) and (8, 4), find the slope of a line.
44 Team Huddle In a team huddle, find the slope of a line given the following points. 1. (-3, 5) and (-3, 6) 2. (2, 1) and (4, 1)
45 Parallel Lines Theorem Two nonvertical lines are parallel if and only if they have the same slope. Any two vertical or horizontal lines are parallel.
46 Perpendicular Lines Theorem Two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Any vertical line is perpendicular to any horizontal line.
47 Another way to tell if two lines are perpendicular is to look at their slopes. If their slopes are negative reciprocals, then they are perpendicular. Example:
48 In looking at any shape, we can use slope to determine what type of shape it is. To do this, we have to find the slope of each line. How many different lines can we find the slope for in this figure?
49 Midpoint Formula If we have two points on a coordinate plane, we can figure out the midpoint (point exactly in between the two points) X 1 + x 2 2 y 1 + y 2 2 In other words, add the x s and divide by 2; add the y s and divide by 2.
50 Example Given the points (2, 4) and (12, 8), what would the midpoint be?
51 Team Huddle Given the points (-2, 5) and (16, -1), what would the midpoint be? Given the points (18, 3) and (5, 8), what would the midpoint be?
52 5.6 The Distance Formula In a team huddle, take seconds and discuss what you can remember about coordinate planes.
53 Distance Formula In plotting two points on a coordinate plane, we can figure out the distance between the points by using the distance formula. Distance Formula: d = (x 2 x 1 ) 2 + (y 2 y 1 ) 2
54 Example Find the distance between the points (2,7) and (5,3).
55 Example A waterfall in a park is located 6 miles east and 3 miles north of the entrance. There is a picnic site 1 mile east and 2 miles north of the entrance. How long is a trail that goes directly from the waterfall to the picnic site?
Unit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS
A M S 1 2 G O E A B 3 4 LINE POINT Undefined No thickness Extends infinitely in two directions Designated with two points Named with two capital letters or Undefined No size Named with a capital letter
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationPoint A location in geometry. A point has no dimensions without any length, width, or depth. This is represented by a dot and is usually labelled.
Test Date: November 3, 2016 Format: Scored out of 100 points. 8 Multiple Choice (40) / 8 Short Response (60) Topics: Points, Angles, Linear Objects, and Planes Recognizing the steps and procedures for
More informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More informationA point is pictured by a dot. While a dot must have some size, the point it represents has no size. Points are named by capital letters..
Chapter 1 Points, Lines & Planes s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess that you might already be pretty familiar with many
More informationChapter 1-2 Points, Lines, and Planes
Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines
More informationVOCABULARY. Chapters 1, 2, 3, 4, 5, 9, and 8. WORD IMAGE DEFINITION An angle with measure between 0 and A triangle with three acute angles.
Acute VOCABULARY Chapters 1, 2, 3, 4, 5, 9, and 8 WORD IMAGE DEFINITION Acute angle An angle with measure between 0 and 90 56 60 70 50 A with three acute. Adjacent Alternate interior Altitude of a Angle
More informationGeometry CP Constructions Part I Page 1 of 4. Steps for copying a segment (TB 16): Copying a segment consists of making segments.
Geometry CP Constructions Part I Page 1 of 4 Steps for copying a segment (TB 16): Copying a segment consists of making segments. Geometry CP Constructions Part I Page 2 of 4 Steps for bisecting a segment
More informationChapter 1 Tools of Geometry
Chapter 1 Tools of Geometry Goals: 1) learn to draw conclusions based on patterns 2) learn the building blocks for the structure of geometry 3) learn to measure line segments and angles 4) understand the
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationUnit 6: Connecting Algebra and Geometry Through Coordinates
Unit 6: Connecting Algebra and Geometry Through Coordinates The focus of this unit is to have students analyze and prove geometric properties by applying algebraic concepts and skills on a coordinate plane.
More informationTools of Geometry 1. X + 9 = 24 2. 25 X = 15 3. X + 3 = -2X -10 4. 3X + 4Y = 2 Place in slope intercept form. 5. Y = ½ X 2 What is the slope? What is the Y- Intercept? Inductive Reasoning is reasoning
More informationTerm Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
More informationB. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.
A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance
More informationStudy Guide - Geometry
Study Guide - Geometry (NOTE: This does not include every topic on the outline. Take other steps to review those.) Page 1: Rigid Motions Page 3: Constructions Page 12: Angle relationships Page 14: Angle
More informationSemester Test Topic Review. Correct Version
Semester Test Topic Review Correct Version List of Questions Questions to answer: What does the perpendicular bisector theorem say? What is true about the slopes of parallel lines? What is true about the
More informationGeometry Foundations Planning Document
Geometry Foundations Planning Document Unit 1: Chromatic Numbers Unit Overview A variety of topics allows students to begin the year successfully, review basic fundamentals, develop cooperative learning
More information1.1 IDENTIFY POINTS, LINES AND PLANES
1.1 IDENTIFY POINTS, LINES AND PLANES OBJECTIVE I WILL KNOW THESE DEFINITIONS AND BE ABLE TO SKETCH THEM: POINT LINE PLANE RAY OPPOSITE RAY COLLINEAR AND COPLANAR POINTS INTERSECTIONS OF TWO LINES AND
More informationSection 1: Introduction to Geometry Points, Lines, and Planes
Section 1: Introduction to Geometry Points, Lines, and Planes Topic 1: Basics of Geometry - Part 1... 3 Topic 2: Basics of Geometry Part 2... 5 Topic 3: Midpoint and Distance in the Coordinate Plane Part
More informationPOTENTIAL REASONS: Definition of Congruence:
Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point
More informationIf two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
More informationH.Geometry Chapter 3 Definition Sheet
Section 3.1 Measurement Tools Construction Tools Sketch Draw Construct Constructing the Duplicate of a Segment 1.) Start with a given segment. 2.) 3.) Constructing the Duplicate of an angle 1.) Start with
More informationQuarter 1 Study Guide Honors Geometry
Name: Date: Period: Topic 1: Vocabulary Quarter 1 Study Guide Honors Geometry Date of Quarterly Assessment: Define geometric terms in my own words. 1. For each of the following terms, choose one of the
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationTerm Definition Figure
Geometry Unit 1 Packet - Language of Geometry Name: #: Video Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruent, parallel, perpendicular, etc.) Term
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More informationAnalytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member.
Happy New Year! Analytic Geometry Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Unit 1: Similarity, Congruence & Proofs Vocabulary
More informationSegment Addition Postulate: If B is BETWEEN A and C, then AB + BC = AC. If AB + BC = AC, then B is BETWEEN A and C.
Ruler Postulate: The points on a line can be matched one to one with the REAL numbers. The REAL number that corresponds to a point is the COORDINATE of the point. The DISTANCE between points A and B, written
More informationGeometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
More informationTheorems & Postulates Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 30-60 -90 Triangle In a 30-60 -90 triangle, the length of the hypotenuse is two times the length of the shorter leg, and the length of the longer leg is the length
More informationCCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38. Transformations in the Coordinate Plane
CCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38 Transformations in the Coordinate Plane Name: Date: MCC9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line,
More informationGeometry Midterm Review
Geometry Midterm Review **Look at Study Guide and old tests The Midterm covers: Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Parts of Chapter 6 Chapter 1 1.1 point: - has no dimension - represented
More informationGeometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear
Name Geometry 1-1 Undefined terms terms which cannot be defined only described. Point, line, plane Point a location in space Line a series of points that extends indefinitely in opposite directions. It
More informationUNIT 5 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 5
UNIT 5 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 5 Geometry Unit 5 Overview: Circles With and Without Coordinates In this unit, students prove basic theorems about circles, with particular attention
More informationGeometry Midterm Review 2019
Geometry Midterm Review 2019 Name To prepare for the midterm: Look over past work, including HW, Quizzes, tests, etc Do this packet Unit 0 Pre Requisite Skills I Can: Solve equations including equations
More information2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit)
Name Geometry Semester 1 Review Guide 1 2014-2015 1. Jen and Beth are graphing triangles on this coordinate grid. Beth graphed her triangle as shown. Jen must now graph the reflection of Beth s triangle
More informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More informationGeometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)
Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.
More information2-1 Transformations and Rigid Motions. ENGAGE 1 ~ Introducing Transformations REFLECT
2-1 Transformations and Rigid Motions Essential question: How do you identify transformations that are rigid motions? ENGAGE 1 ~ Introducing Transformations A transformation is a function that changes
More informationSection 12.1 Translations and Rotations
Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry. We look at two types of isometries in this section: translations and rotations. Translations A
More informationUnit 1: Fundamentals of Geometry
Name: 1 2 Unit 1: Fundamentals of Geometry Vocabulary Slope: m y x 2 2 Formulas- MUST KNOW THESE! y x 1 1 *Used to determine if lines are PARALLEL, PERPENDICULAR, OR NEITHER! Parallel Lines: SAME slopes
More informationMANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM
COORDINATE Geometry Plotting points on the coordinate plane. Using the Distance Formula: Investigate, and apply the Pythagorean Theorem as it relates to the distance formula. (G.GPE.7, 8.G.B.7, 8.G.B.8)
More informationCarnegie Learning High School Math Series: Geometry Indiana Standards Worktext Correlations
Carnegie Learning High School Math Series: Logic and Proofs G.LP.1 Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates,
More informationGeometry CP. Unit 4 (Congruency of Triangles) Notes
Geometry CP Unit 4 (Congruency of Triangles) Notes S 4.1 Congruent Polygons S Remember from previous lessons that is something is congruent, that it has the same size and same shape. S Another way to look
More informationGeometry Note-Sheet Overview
Geometry Note-Sheet Overview 1. Logic a. A mathematical sentence is a sentence that states a fact or contains a complete idea. Open sentence it is blue x+3 Contains variables Cannot assign a truth variable
More informationChapter 1. Essentials of Geometry
Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name
More informationFRANKLIN-SIMPSON HIGH SCHOOL
FRANKLIN-SIMPSON HIGH SCHOOL Course Name: Geometry Unit Name: Going in Circles Quality Core Objectives: B.1. C.1. D.1. Mathematical Processes Logic and Proof Points, Lines, Planes, and Space Unit 13 Going
More informationManhattan Center for Science and Math High School Mathematics Department Curriculum
Content/Discipline Geometry, Term 1 http://mcsmportal.net Marking Period 1 Topic and Essential Question Manhattan Center for Science and Math High School Mathematics Department Curriculum Unit 1 - (1)
More informationUnit 2 Language Of Geometry
Unit 2 Language Of Geometry Unit 2 Review Part 1 Name: Date: Hour: Lesson 1.2 1. Name the intersection of planes FGED and BCDE 2. Name another point on plane GFB 3. Shade plane GFB 4. Name the intersection
More informationNEW YORK GEOMETRY TABLE OF CONTENTS
NEW YORK GEOMETRY TABLE OF CONTENTS CHAPTER 1 POINTS, LINES, & PLANES {G.G.21, G.G.27} TOPIC A: Concepts Relating to Points, Lines, and Planes PART 1: Basic Concepts and Definitions...1 PART 2: Concepts
More informationGeometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia
Name Date Period This is your semester 1 exam review study guide. It is designed for you to do a portion each day until the day of the exam. You may use the following formula to calculate your semester
More informationWest Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12
West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 Unit 1: Basics of Geometry Content Area: Mathematics Course & Grade Level: Basic Geometry, 9 12 Summary and Rationale This unit
More informationCourse Number: Course Title: Geometry
Course Number: 1206310 Course Title: Geometry RELATED GLOSSARY TERM DEFINITIONS (89) Altitude The perpendicular distance from the top of a geometric figure to its opposite side. Angle Two rays or two line
More informationChapter 2: Transformations. Chapter 2 Transformations Page 1
Chapter 2: Transformations Chapter 2 Transformations Page 1 Unit 2: Vocabulary 1) transformation 2) pre-image 3) image 4) map(ping) 5) rigid motion (isometry) 6) orientation 7) line reflection 8) line
More informationMath 2 Coordinate Geometry Part 3 Inequalities & Quadratics
Math 2 Coordinate Geometry Part 3 Inequalities & Quadratics 1 DISTANCE BETWEEN TWO POINTS - REVIEW To find the distance between two points, use the Pythagorean theorem. The difference between x 1 and x
More information6.1 Circles and Related Segments and Angles
Chapter 6 Circles 6.1 Circles and Related Segments and Angles Definitions 32. A circle is the set of all points in a plane that are a fixed distance from a given point known as the center of the circle.
More information(1) Page #1 24 all. (2) Page #7-21 odd, all. (3) Page #8 20 Even, Page 35 # (4) Page #1 8 all #13 23 odd
Geometry/Trigonometry Unit 1: Parallel Lines Notes Name: Date: Period: # (1) Page 25-26 #1 24 all (2) Page 33-34 #7-21 odd, 23 28 all (3) Page 33-34 #8 20 Even, Page 35 #40 44 (4) Page 60 61 #1 8 all #13
More informationGeometry I Can Statements I can describe the undefined terms: point, line, and distance along a line in a plane I can describe the undefined terms:
Geometry I Can Statements I can describe the undefined terms: point, line, and distance along a line in a plane I can describe the undefined terms: point, line, and distance along a line in a plane I can
More informationWarm-Up. Find the domain and range:
Warm-Up Find the domain and range: Geometry Vocabulary & Notation Point Name: Use only the capital letter, without any symbol. Line Name: Use any two points on the line with a line symbol above. AB Line
More informationGEOMETRY SEMESTER 1 EXAM REVIEW
GEOMETRY SEMESTER 1 EXAM REVIEW Use the diagram to answer the following questions. 1. Find three points that are collinear. Name 2. Write three different names for line p. 3. Name a point not coplanar
More informationBasics of Geometry Unit 1 - Notes. Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes.
asics of Geometry Unit 1 - Notes Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms 1. Point has no dimension, geometrically
More informationUnit 3 Notes: Parallel Lines, Perpendicular Lines, and Angles 3-1 Transversal
Unit 3 Notes: Parallel Lines, Perpendicular Lines, and Angles 3-1 Transversal REVIEW: *Postulates are Fundamentals of Geometry (Basic Rules) To mark line segments as congruent draw the same amount of tic
More informationGlossary of dictionary terms in the AP geometry units
Glossary of dictionary terms in the AP geometry units affine linear equation: an equation in which both sides are sums of terms that are either a number times y or a number times x or just a number [SlL2-D5]
More informationGeometry Curriculum Map
Geometry Curriculum Map Unit 1 st Quarter Content/Vocabulary Assessment AZ Standards Addressed Essentials of Geometry 1. What are points, lines, and planes? 1. Identify Points, Lines, and Planes 1. Observation
More informationSection 3.1 Objective 1: Plot Points in the Rectangular Coordinate System Video Length 12:35
Section 3.1 Video Guide The Rectangular Coordinate System and Equations in Two Variables Objectives: 1. Plot Points in the Rectangular Coordinate System 2. Determine If an Ordered Pair Satisfies an Equation
More informationGeometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
More informationGeometry. AIR Study Guide
Geometry AIR Study Guide Table of Contents Topic Slide Formulas 3 5 Angles 6 Lines and Slope 7 Transformations 8 Constructions 9 10 Triangles 11 Congruency and Similarity 12 Right Triangles Only 13 Other
More informationObjective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms
Unit 1 asics of Geometry Objective- the students will be able to use undefined terms and definitions to work with points, lines and planes. Undefined Terms 1. Point has no dimension, geometrically looks
More informationGeometry Curriculum Guide Dunmore School District Dunmore, PA
Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content
More informationGeometry Review for Semester 1 Final Exam
Name Class Test Date POINTS, LINES & PLANES: Geometry Review for Semester 1 Final Exam Use the diagram at the right for Exercises 1 3. Note that in this diagram ST plane at T. The point S is not contained
More informationUnit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
More informationChapter 2 Similarity and Congruence
Chapter 2 Similarity and Congruence Definitions Definition AB = CD if and only if AB = CD Remember, mab = AB. Definitions Definition AB = CD if and only if AB = CD Remember, mab = AB. Definition ABC =
More informationGeometry. Copy each word and write the definition from your notes, not the book.
Exam Review Name: Geometry 1 st Semester Period: Vocabulary Copy each word and write the definition from your notes, not the book. Chapter 1: Segments Point Line Ray Plane Segment Opposite rays Collinear
More informationPearson Mathematics Geometry
A Correlation of Pearson Mathematics Geometry Indiana 2017 To the INDIANA ACADEMIC STANDARDS Mathematics (2014) Geometry The following shows where all of the standards that are part of the Indiana Mathematics
More informationUnit 10 Circles 10-1 Properties of Circles Circle - the set of all points equidistant from the center of a circle. Chord - A line segment with
Unit 10 Circles 10-1 Properties of Circles Circle - the set of all points equidistant from the center of a circle. Chord - A line segment with endpoints on the circle. Diameter - A chord which passes through
More information2 and 6 4 and 8 1 and 5 3 and 7
Geo Ch 3 Angles formed by Lines Parallel lines are two coplanar lines that do not intersect. Skew lines are that are not coplanar and do not intersect. Transversal is a line that two or more lines at different
More informationDefinitions. You can represent a point by a dot and name it by a capital letter.
Definitions Name Block Term Definition Notes Sketch Notation Point A location in space that is represented by a dot and has no dimension You can represent a point by a dot and name it by a capital letter.
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ACCELERATED GEOMETRY (June 2014)
UNIT: Chapter 1 Essentials of Geometry UNIT : How do we describe and measure geometric figures? Identify Points, Lines, and Planes (1.1) How do you name geometric figures? Undefined Terms Point Line Plane
More informationCurriki Geometry Glossary
Curriki Geometry Glossary The following terms are used throughout the Curriki Geometry projects and represent the core vocabulary and concepts that students should know to meet Common Core State Standards.
More informationSelect the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry
Team Geometry . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? 6 4 6 a. b. c.. A parallelogram has all
More informationGEOMETRY POSTULATES AND THEOREMS. Postulate 1: Through any two points, there is exactly one line.
GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB
More information3.5 Day 1 Warm Up. Graph each line. 3.4 Proofs with Perpendicular Lines
3.5 Day 1 Warm Up Graph each line. 1. y = 4x 2. y = 3x + 2 3. y = x 3 4. y = 4 x + 3 3 November 2, 2015 3.4 Proofs with Perpendicular Lines Geometry 3.5 Equations of Parallel and Perpendicular Lines Day
More informationGeometry Honors Curriculum Guide Dunmore School District Dunmore, PA
Geometry Honors Dunmore School District Dunmore, PA Geometry Honors Prerequisite: Successful Completion of Algebra I Honors K This course is designed for the student who has successfully completed Algebra
More informationGeometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
More informationEuclid s Axioms. 1 There is exactly one line that contains any two points.
11.1 Basic Notions Euclid s Axioms 1 There is exactly one line that contains any two points. Euclid s Axioms 1 There is exactly one line that contains any two points. 2 If two points line in a plane then
More informationMATHia Unit MATHia Workspace Overview TEKS
1 Tools of Geometry Lines, Rays, Segments, and Angles Distances on the Coordinate Plane Parallel and Perpendicular Lines Angle Properties Naming Lines, Rays, Segments, and Angles Working with Measures
More informationCORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)
CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications
More informationDepartment: Course: Chapter 1
Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The
More informationTriangles. Leg = s. Hypotenuse = s 2
Honors Geometry Second Semester Final Review This review is designed to give the student a BASIC outline of what needs to be reviewed for the second semester final exam in Honors Geometry. It is up to
More informationUNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1
UNIT 1 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 1 Traditional Pathway: Geometry The fundamental purpose of the course in Geometry is to formalize and extend students geometric experiences from the
More informationSection Congruence Through Constructions
Section 10.1 - Congruence Through Constructions Definitions: Similar ( ) objects have the same shape but not necessarily the same size. Congruent ( =) objects have the same size as well as the same shape.
More informationSYSTEMS OF LINEAR EQUATIONS
SYSTEMS OF LINEAR EQUATIONS A system of linear equations is a set of two equations of lines. A solution of a system of linear equations is the set of ordered pairs that makes each equation true. That is
More informationIntegrated Math, Part C Chapter 1 SUPPLEMENTARY AND COMPLIMENTARY ANGLES
Integrated Math, Part C Chapter SUPPLEMENTARY AND COMPLIMENTARY ANGLES Key Concepts: By the end of this lesson, you should understand:! Complements! Supplements! Adjacent Angles! Linear Pairs! Vertical
More informationMATH 113 Section 8.2: Two-Dimensional Figures
MATH 113 Section 8.2: Two-Dimensional Figures Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 Classifying Two-Dimensional Shapes 2 Polygons Triangles Quadrilaterals 3 Other
More informationUnit Number of Days Dates. 1 Angles, Lines and Shapes 14 8/2 8/ Reasoning and Proof with Lines and Angles 14 8/22 9/9
8 th Grade Geometry Curriculum Map Overview 2016-2017 Unit Number of Days Dates 1 Angles, Lines and Shapes 14 8/2 8/19 2 - Reasoning and Proof with Lines and Angles 14 8/22 9/9 3 - Congruence Transformations
More informationUnit 7. Transformations
Unit 7 Transformations 1 A transformation moves or changes a figure in some way to produce a new figure called an. Another name for the original figure is the. Recall that a translation moves every point
More informationGeometry. Cluster: Experiment with transformations in the plane. G.CO.1 G.CO.2. Common Core Institute
Geometry Cluster: Experiment with transformations in the plane. G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of
More informationMath 7, Unit 08: Geometric Figures Notes
Math 7, Unit 08: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My
More information