Unit 10 Angles. Name: Teacher: Grade:
|
|
|
- Dorcas Stanley
- 6 years ago
- Views:
Transcription
1 Unit 10 Angles Name: Teacher: Grade: 1
2 Lesson 1 Classwork Complementary Angles Complementary Angles: ** Using the above definition, the word sum tells us that we are using addition to set up an equation. The word is tells us that the total is 90 degrees. ** Complementary angles do not have to be adjacent (next to each other) for them to be complementary. Notice in the diagram below to the left, when complementary angles are adjacent to each other, they form a right angle. Below to the right, they are still complementary, just not adjacent to each other. What this means is: <1 + <2 = Complementary Angles are two angles whose sum is _. 2. Complementary angles form what type of angle?. 3. The outer rays of complementary angles are to each other. 4. What is the complement of a 40 degree angle?. 5. What is the complement of a 4 degree angle?. 6. What is the complement of 30º?. 7. What is the complement of xº?. Solve for x by SETTING UP AN EQUATION:
3 Find both missing angles :m 2 = 2: m<1 : m<2 = 8 : 1 Find the measure of both angles. Find the measure of < m<1 : m:2 = 2 : m<1 = 2x + 40, m<2 = 4x - 10 Find the measure of both angles. Find the measure of <2 3
4 Lesson 1 Homework Complementary Angles 1. m 1 = 35º. Find m m 1 = 2x + 5 and m 2 = 3x Find m m BID = 2x + 40 and m DIR = 4x m 1:m 2 = 5:4. Find the measure Find the measure of both angles. of both angles. 5. AF AC. If m FAT = m CAT, **6. Given OE OU, m EOS = 10º and find the measure of both angles. m MOU = 120º. Find m SOU and m MOE. 4
5 Lesson 2 Classwork Supplementary Angles Straight angle - Supplementary angles - ** Using the above definition, the word sum tells us that we are using addition to set up an equation. The word is tells us that the total is 180 degrees. ** Supplementary angles do not have to be adjacent to each other for them to be supplementary. Notice in the diagram below to the left, when supplementary angles are adjacent to each other, they form a straight angle. Below to the right, they are still supplementary, just not adjacent to each other. What this means is: <1 + <2 = Supplementary Angles are two angles whose sum is. 2. Supplementary angles form what type of angle?. 3. What is the supplement of a 40 degree angle?. 4. What is the supplement of a 4 degree angle?. 5. What is the supplement of 30º?. 6. What is the supplement of xº?. Solve for x by SETTING UP AN EQUATION: Find the missing angles. (<1 + <2 = 180) 1. x 82 7x 2x 2. 5
6 3. 4x 5x 4. 15x x 5. m<1 = x + 30, m<2 = 4x m<1 = 3x + 15, m<2 = 2x + 5 Find m<1 Find m<2 7. m<1 : m<2 = 2 : 3 8. m<1 : m<2 = 7 : 3 9. A. Find the measure of x. B. Find the measure of y 6
7 Lesson 2 Homework Supplementary Angles 1. m 1 = 135º. Find m m KIS = 2x + 10 and m SID = 4x Find m DIS. 3. m TIS = 3x + 65 and m EIS = 2x m 1:m 2 = 7:3. Find the measure Find the measure of both angles. of both angles. *5. Use the picture below to determine the **6. Given line MOU and m EOS = 40º, measure of each angle. Fill in all missing angles! 7
8 Lesson 3 Classwork Vertical Angles Vertical angles Their values are = = Use the picture below for # Name an angle congruent to angle Name an angle supplementary to angle If angle 1 = 70, then : 2=, 3=, 4= 4. If angle 2 = 135, then: 1=, 3=, 4= Practice 1. Find all of the missing angles 2. Find all of the missing angles y x 42 z y x 150 z x y z x y z 8
9 3. Find all of the angles 4. Find all of the angles y x x - 40 z 2x + 40 x + 20 z y y z y z 5. m 4 = 5x and m 2 = 3x m 1 = 3x 10 and m 2 = 2x m 1 = x + 20 and m 2 = 2x Find each angle. Show all Work 1 = 30 2 = 3 = 4 = 45 5 = 6 = 9
10 Lesson 3 Homework Vertical Angles 1. m 1 = 35º. Find m 2, m 3 2. If m 1 = x + 15 and m 3 = 2x, find m<2 and m If m 2 = 7x + 18 and m 4 = 5x + 48, 4. If m 3 = 5x 10 and m 4 = 45º. Find the find m 2. measure of both angles. *5. If m 2 = 42º and m 4 = 92º, find m 6. *6. Given lines CN and UK, SH SN and m USN = 50º. Find m 1, m 2, m 4, and m 5. 10
11 Lesson 4 Classwork Mixed Review of Angles 1. Find the measure of m 1 = 15x, m 2 = 5x 2. m 1: m 2 = 4:5. Find the measure of Solve for x in the diagram below. x x Us the diagram below to answer the questions: If m 1 = 89, find m 2: m 3: m 4: 5. What is the supplement of a) 145 b) 89 c) x d) What is the complement of: a) 3x b) 83 c) x d) 1 11
12 A B C 2x + 40 x AB BC Find the measure of <ABD: D 8. Find the measure of all four angles. 2 m 1 = 2x m 2 = x If the m 1: m 2 = 8:1, fin the m m 5 = 2x + 5 m 7= 4x Solve for x HS is perpendicular to SN. If m<2 = 40, find all other angles. 12
13 Lesson 5 Classwork Parallel Lines Numerical Supplementary Angles Angle Relationship Formed Examples Vertical Angles Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Use the diagram to answer the questions. 1. Lines a and b are 2. Line c is called the 3. Name a pair of vertical angles: & _ 4. Name a pair of corresponding angles: & 13
14 5. Name a pair of alternate interior angles: & 6. Name a pair of alternate exterior angles: & 7. Name a pair of supplementary angles: & 8. Name a pair of congruent angles: & 9. True or False: 1 5? 10. True or False: 1 6? 11. True or False: 4 5? 12. True or False: 4 6? 13. If m 1 = 60º, then: 14. If m 6 = 100º, then: m 2 = m 1 = m 3 = m 2 = m 4 = m 3 = m 5 = m 4 = m 6 = m 5 = m 7 = m 7 = m 8 = m 8 = 14
15 Use this diagram to answer the following questions Lesson 5 Homework Parallel Lines Numerical a b c Tell what type of angle each pair is: (supplementary, vertical, corresponding, alternate interior, alternate exterior angles) 1. <1 and < 5 4. <5 and <8 2. <2 and <7 5. <3 and <6 3. <5 and <6 6. <1 and <4 7. Give the measure of each angle if m<2 = 75 0 <1 = <3 = <4 = _ <5= <6 = <7= <8 = 8. Give the measure of each angle if m <5 = <1 = <2 = <3 = _ <4= <6 = <7= <8 = 9. Give the measure of each angle if m<8 = <1 = <2 = <3 = _ <4= <5 = <6= <7 = 10. True or False: Angles 3 and 5 are congruent. 11. True or False: Angles 3 and 6 are congruent. 12. Name the parallel lines: 13. Name the transversal: For each of the following, find the missing angle AND state the angle relationship 14. If m<5 = 95 0, fine m<8 16. If m<8 = 117 0, find m<4 15. If m<1 = 120 0, find m<8 17. If m<6 = 32 0, find m<3 15
16 Lesson 6 Classwork Parallel Lines Algebraic 1. m 1 37, m 8? 2. m 3 40, m 5? 3. m 4 5x 10, m 5 3x 40, m 5? 4. m 8 3x 30, m 3 x 80, m 8? 5. m 3 4 m 5. Find m m 6 : m 2 3 : 7. Find m m 4 5x 12, m 2 2x 51. Find m 8. 16
17 Lesson 6 Homework Parallel Lines Algebraic 1. If m 3 = 3x 10 and m 6 = x + 80, find x. 2. If m 2 = 5x and m 6 = x + 20, find m If m 3 = 3x 10 and m 5 = 2x + 40, find m If m 6 = 4x + 20 and m 1 = 3x + 90, find the measure of all eight angles. 17
18 Lesson 7 Classwork Understanding Triangles The sum of the angles of ANY triangle is. Types of angles. 1. Base Angle: 2. Vertex Angle: 3. Interior: 4. Exterior: Types of triangles: 1. Acute: 2. Obtuse: 3. Right: 4. Equilateral: 5. Isosceles: 1. Find the measure of the vertex angle of an isosceles if a base angle measures 55º. 2. The measures of the angles of a triangle are represented by 2x, 3x, and x. Find the measure of each angle. 18
19 3. The measure of each base angle of an isosceles is half the base angle. Find the measure of each angle of the triangle. 4. Given the triangle below: a) If m 1 = 30º and m 2 = 90º, find m 3 and m 4. b) What type of triangle is it? 5. a) Find the value of x: b) What type of triangle is it? 6. The measure of an exterior angle to a base angle of an isosceles triangle is 115º. What is the measure of the vertex angle of the triangle? 7. The measures of the angles of a triangle are in the ratio 2:4:9. Find the measures of the angles. 8. Find the value of x: 19
20 1. Find the measure of a base angle of an isosceles if the vertex angle measures 55º. Lesson 7 Homework Understanding Triangles 2. In ABC, m A = x, m B = x + 30, and m C = 2x Find the measures of each angle and determine what type if triangle it is. 3. Solve for x. 4. Find the measure of each angle. 5. Solve for x. 6. Solve for x. 7. If m 3 = 90º and m 5 = 147º, find the measure of the other angles. 8. Angle 1 = 45º and angle 2 = 70º. Find the measure of the exterior angle at 4. 20
21 Lesson 8 Classwork Triangles and Parallel Lines 1. If m 1 = 60º and m 3 = 50º, then: m 1 = m 2 = m 3 = m 4 = m 5 = m 6 = m 8 = m 9 = m 10 = m 11 = m 12= m 13 m 7 = m 14 = = 2) If m<1 = 30 and m<8 = 120, find ALL other angles. m<2 = m<11 = m<20 = m<3 = m<12 = m<21 = m<4 = m<13 = m<22 = m<5 = m<14 = m<23 = m<6 = m<15 = m<7 = m<16 = m<17 = m<9 = m<18 = m<10 = m<19 = 21
22 3) If m<6 = 60 and m<8 = 40, find ALL other angles. m<1 = m<10 = m<2 = m<11 = m<3 = m<12 = m<4 = m<13 = m<5 = m<14 = m<7 = m<9 = 22
23 Lesson 8 Homework Triangles and Parallel Lines 1. If m 1 = 70º and m 6 = 80º, then: m 1 = m 2 = m 3 = m 4 = m 5 = m 6 = m 7 = m 8 = m 11 = m 12 = m 13 = m 14 = m 15 = m 16 = m 17 = m 18 = m 9 = m 19 = m 10 = Given that the vertical lines are parallel: find the values of a, b, and c (in that order). find the measures of the 4 labeled angels. 23
Ms. Campos 7 th Grade. Unit 14- Angles
Ms. Campos 7 th Grade Unit 14- Angles 2017-2018 Date Lesson Topic Homework 3 W 5/16 1 Complementary Angles Lesson 1 - Page 5 4 T 5/17 2 Supplementary Angles Lesson 2 Page 9 5 F 5/18 3 Vertical Angles Lesson
Unit 14 Angles. Name. Period. Teacher
Unit 14 Angles Name Period Teacher Defining Angles/Adjacent Angles Day 1 Classwork Review: Angle Vocabulary Definition Picture Acute angle Obtuse angle Right angle Straight angle New Definitions Vocabulary
Parallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same.
Section 2.3: Lines and Angles Plane: infinitely large flat surface Line: extends infinitely in two directions Collinear Points: points that lie on the same line. Parallel Lines: Two lines in the same plane
Introduction to Geometry
Introduction to Geometry Objective A: Problems involving lines and angles Three basic concepts of Geometry are: Points are a single place represented by a dot A Lines are a collection of points that continue
Chapter 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
GEOMETRY R Unit 2: Angles and Parallel Lines
GEOMETRY R Unit 2: Angles and Parallel Lines Day Classwork Homework Friday 9/15 Unit 1 Test Monday 9/18 Tuesday 9/19 Angle Relationships HW 2.1 Angle Relationships with Transversals HW 2.2 Wednesday 9/20
GEOMETRY 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
If lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2
Unit 4 Lesson 1: Parallel Lines and Transversals Name: COMPLEMENTARY are angles to add up to 90 SUPPLEMENTARY are angles to add up to 180 These angles are also known as a LINEAR PAIR because they form
Unit III: SECTION #1 - Angles & Lines
1/16 Name Period An angle is made up of two rays that meet at a point called the vertex. Kinds of Angles 1) Acute Angle the angle s measure is between 0ᵒ and 90ᵒ 2) Right Angle the angle s measure is 90ᵒ
Complementary, Supplementary, & Vertical Angles
Unit 4: Lesson 1: Complementary and Supplementary Angles Date: Complementary, Supplementary, & Vertical Angles Type of Angles Definition/Description Complementary Angles Diagram Supplementary Angles Vertical
Grade 9 Lines and Angles
ID : cn-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer the questions (1) If AB and CD are parallel, find the value of x. (2) Lines AB and CD intersect
1. A statement is a set of words and/or symbols that collectively make a claim that can be classified as true or false.
Chapter 1 Line and Angle Relationships 1.1 Sets, Statements and Reasoning Definitions 1. A statement is a set of words and/or symbols that collectively make a claim that can be classified as true or false.
1. Measuring Angles (4).notebook October 21, 2014
IWBAT estimate, classify, measure and draw acute, obtuse, right, straight, 180+, complementary, supplementary, and vertical angles. 1 Angles are measured in degrees! 2 Please Create a Vocabulary section
Type of Triangle Definition Drawing. Name the triangles below, and list the # of congruent sides and angles:
Name: Triangles Test Type of Triangle Definition Drawing Right Obtuse Acute Scalene Isosceles Equilateral Number of congruent angles = Congruent sides are of the congruent angles Name the triangles below,
Mathematics For Class IX Lines and Angles
Mathematics For Class IX Lines and Angles (Q.1) In Fig, lines PQ and RS intersect each other at point O. If, find angle POR and angle ROQ (1 Marks) (Q.2) An exterior angle of a triangle is 110 and one
Downloaded from
Lines and Angles 1.If two supplementary angles are in the ratio 2:7, then the angles are (A) 40, 140 (B) 85, 95 (C) 40, 50 (D) 60, 120. 2.Supplementary angle of 103.5 is (A) 70.5 (B) 76.5 (C) 70 (D)
1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths
Lesson 8 Lesson 8, page 1 of 6 Glencoe Geometry Chapter 4.1, 4.2 Classifying Triangles & Angle Measure By the end of this lesson, you should be able to 1. Identify the different parts of a triangle 2.
Lesson 3: Solving for Unknown Angles using Equations
Classwork Opening Exercise Two lines meet at the common vertex of two rays; the measurement of. Set up and solve an equation to find the value of and. Example 1 Set up and solve an equation to find the
Points, Lines, Planes, and Angles pp
LESSON 5-1 Points, Lines, Planes, and Angles pp. 222 224 Vocabulary point (p. 222) line (p. 222) plane (p. 222) segment (p. 222) ray (p. 222) angle (p. 222) right angle (p. 223) acute angle (p. 223) obtuse
A triangle ( ) is the union of three segments determined by three noncollinear points.
Chapter 6 Triangles A triangle ( ) is the union of three segments determined by three noncollinear points. C Each of the three points, A, B and C is a vertex of the triangle. A B AB, BC, and AC are called
Properties of a Triangle Student Activity Sheet 1; use with Overview
Student: Class: Date: Properties of a Triangle Student Activity Sheet 1; use with Overview 1. REEVVI IEEW Suppose points A, B, and C are collinear, where B is between A and C. If AB = 2x + 3, BC = 6x 5,
Unit 8 Chapter 3 Properties of Angles and Triangles
Unit 8 Chapter 3 Properties of Angles and Triangles May 16 7:01 PM Types of lines 1) Parallel Lines lines that do not (and will not) cross each other are labeled using matching arrowheads are always the
Lesson 13-1 Angle Relationships
Name Date Class Chapter 13 Lesson 13-1 Angle Relationships Use the diagram to name each figure. 1. a right angle 2. two acute angles 3. two obtuse angles 4. a pair of complementary angles 5. three pairs
Segment 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
Warm up Exercise. 1. Find the missing angle measure in the figures below: Lesson 54 Angle Relationships & Lesson 55 Nets.notebook.
Warm up Exercise 1. Find the missing angle measure in the figures below: 45 o 29 o 30 o a d 49 o b c 1 Lesson 54: Angle Relationships Intersecting lines form pairs of adjacent angles and pairs of opposite
Section 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.1 Points, Lines, Planes, and Angles What You Will Learn Points Lines Planes Angles 9.1-2 Basic Terms A point, line, and plane are three basic terms in geometry that are NOT given a formal definition,
Unit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
CCM Unit 10 Angle Relationships
CCM6+7+ Unit 10 Angle Relationships ~ Page 1 CCM6+7+ 2015-16 Unit 10 Angle Relationships Name Teacher Projected Test Date Main Concepts Page(s) Unit 10 Vocabulary 2-6 Measuring Angles with Protractors
Points, lines, angles
Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in
Lesson 3.6 Overlapping Triangles
Lesson 3.6 Overlapping Triangles Getting Ready: Each division in the given triangle is 1 unit long. Hence, the side of the largest triangle is 4- unit long. Figure 3.6.1. Something to think about How many
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and
Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.
NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = -13 + m FIRST SIX-WEEKS REVIEW 2. x
Semester 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
Mth 97 Winter 2013 Sections 4.3 and 4.4
Section 4.3 Problem Solving Using Triangle Congruence Isosceles Triangles Theorem 4.5 In an isosceles triangle, the angles opposite the congruent sides are congruent. A Given: ABC with AB AC Prove: B C
*Chapter 1.1 Points Lines Planes. Use the figure to name each of the following:
Name: Period Date Pre- AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
Geometry Review for Test 3 January 13, 2016
Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part
What is an angle? The space between two intersecting lines.
Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions
If B is the If two angles are
If If B is between A and C, then 1 2 If P is in the interior of RST, then If B is the If two angles are midpoint of AC, vertical, then then 3 4 If angles are adjacent, then If angles are a linear pair,
INQUIRY MODEL LESSON PLAN
INQUIRY MODEL LESSON PLAN Author: Kirsten Lewis Date Created: 3/31/14 Subject(s): Geometry - Essentials of Geometry Topic or Unit of Study (Title): Describe Angle Pair Relationships Grade Level: 10th grade
Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky
Chapter 8 Properties of Triangles and Quadrilaterals 02/2017 LSowatsky 1 8-1A: Points, Lines, and Planes I can Identify and label basic geometric figures. LSowatsky 2 Vocabulary: Point: a point has no
Class 7 Lines and Angles
ID : in-7-lines-and-angles [1] Class 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If AD and BD are bisectors of CAB and CBA respectively, f ind sum of angle
Boardworks Ltd KS3 Mathematics. S1 Lines and Angles
1 KS3 Mathematics S1 Lines and Angles 2 Contents S1 Lines and angles S1.1 Labelling lines and angles S1.2 Parallel and perpendicular lines S1.3 Calculating angles S1.4 Angles in polygons 3 Lines In Mathematics,
NAME DATE PERIOD. An angle is formed by two rays that share a common endpoint called the.
Lesson 1 Classify Angles An angle is formed by two rays that share a common endpoint called the. An angle can be named in several ways. The symbol for angle is Angles are classified according to their
Geometry Cheat Sheet
Geometry Cheat Sheet Chapter 1 Postulate 1-6 Segment Addition Postulate - If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. Postulate 1-7 Angle Addition Postulate -
Lesson 1.9.1: Proving the Interior Angle Sum Theorem Warm-Up 1.9.1
NME: SIMILRITY, CONGRUENCE, ND PROOFS Lesson 9: Proving Theorems bout Triangles Lesson 1.9.1: Proving the Interior ngle Sum Theorem Warm-Up 1.9.1 When a beam of light is reflected from a flat surface,
Summer Review for incoming Geometry students (all levels)
Name: 2017-2018 Mathematics Teacher: Summer Review for incoming Geometry students (all levels) Please complete this review packet for the FIRST DAY OF CLASS. The problems included in this packet will provide
7) Are HD and HA the same line?
Review for Exam 2 Math 123 SHORT ANSWER. You must show all work to receive full credit. Refer to the figure to classify the statement as true or false. 7) Are HD and HA the same line? Yes 8) What is the
Unit 2A: Angle Pairs and Transversal Notes
Unit 2A: Angle Pairs and Transversal Notes Day 1: Special angle pairs Day 2: Angle pairs formed by transversal through two nonparallel lines Day 3: Angle pairs formed by transversal through parallel lines
(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
Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
4 Triangles and Congruence
www.ck12.org CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES 4.3 TRIANGLE CONGRUENCE USING SSS AND SAS 4.4 TRIANGLE CONGRUENCE USING ASA, AAS, AND HL 4.5 ISOSCELES
POTENTIAL 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
APEX PON VIDYASHRAM, VELACHERY ( ) HALF-YEARLY WORKSHEET 1 LINES AND ANGLES SECTION A
APEX PON VIDYASHRAM, VELACHERY (2017 18) HALF-YEARLY WORKSHEET 1 CLASS: VII LINES AND ANGLES SECTION A MATHEMATICS 1. The supplement of 0 is. 2. The common end point where two rays meet to form an angle
Review Test 1 Chapters 1 & 2 and Appendix L
ath 61 pring 2007 Review Test 1 hapters 1 & 2 and Appendix L 1 www.timetodare.com To prepare for the test, learn all definitions, be familiar with all theorems and postulates and study the following problems.
Unit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D
Unit 3 Geometry Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D Chapter 7 Outline Section Subject Homework Notes Lesson and Homework Complete
Geometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never
1stSemesterReviewTrueFalse.nb 1 Geometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never Classify each statement as TRUE or FALSE. 1. Three given points are always coplanar. 2. A
Name Date Teacher Practice A
Practice A Triangles Identify each triangle by its angles and sides. 1. 2. 3. Find each angle measure. 4. Find x in the acute 5. Find y in the right 6. Find r in the obtuse 7. Find x in the acute 8. Find
theorems & postulates & stuff (mr. ko)
theorems & postulates & stuff (mr. ko) postulates 1 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
a 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;
Chapter 9: Surface Area and Volume CHAPTER 9: ANGLES AND PYTHAGOREAN THEOREM. Date: Lesson: Learning Log Title:
CHAPTER 9: ANGLES AND PYTHAGOREAN THEOREM Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: MATH NOTES ANGLE VOCABULARY
Lessons 4.1 and 4.2 Triangle Sum Properties & Properties of Isosceles Triangles -Classify triangles and find measures of their angles.
Lessons 4.1 and 4.2 Triangle Sum Properties & Properties of Isosceles Triangles -Classify triangles and find measures of their angles. - Discover the properties of Isosceles Triangles. Classification By
Lesson 1: Complementary and Supplementary Angles
lasswork Opening As we begin our study of unknown angles, let us review key definitions. Term Definition Two angles and, with a common side, are angles if is in the interior of. When two lines intersect,
Good Luck Grasshopper.
ANGLES 1 7 th grade Geometry Discipline: Orange Belt Training Order of Mastery: Constructions/Angles 1. Investigating triangles (7G2) 4. Drawing shapes with given conditions (7G2) 2. Complementary Angles
Lesson 4-1: Angles Notation and Types of Angles
Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions
Convex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
An Approach to Geometry (stolen in part from Moise and Downs: Geometry)
An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply
Theorems, Postulates, and Properties for Use in Proofs
CP1 Math 2 Name Unit 1: Deductive Geometry: Day 21-22 Unit 1 Test Review Students should be able to: Understand and use geometric vocabulary and geometric symbols (,,, etc) Write proofs using accurate
For all questions, E. NOTA means none of the above answers is correct. Diagrams are NOT drawn to scale.
For all questions, means none of the above answers is correct. Diagrams are NOT drawn to scale.. In the diagram, given m = 57, m = (x+ ), m = (4x 5). Find the degree measure of the smallest angle. 5. The
Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets
Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of the way along each median
Geometry - 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
Geometry Midterm Review Vocabulary:
Name Date Period Geometry Midterm Review 2016-2017 Vocabulary: 1. Points that lie on the same line. 1. 2. Having the same size, same shape 2. 3. These are non-adjacent angles formed by intersecting lines.
Term: Definition: Picture:
10R Unit 7 Triangle Relationships CW 7.8 HW: Finish this CW 7.8 Review for Test Answers: See Teacher s Website Theorem/Definition Study Sheet! Term: Definition: Picture: Exterior Angle Theorem: Triangle
Math 6, Unit 8 Notes: Geometric Relationships
Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.
1. Write three things you already know about angles. Share your work with a classmate. Does your classmate understand what you wrote?
LESSON : PAPER FOLDING. Write three things you already know about angles. Share your work with a classmate. Does your classmate understand what you wrote? 2. Write your wonderings about angles. Share your
Angle Geometry. Lesson 18
Angle Geometry Lesson 18 Lesson Eighteen Concepts Specific Expectations Determine, through investigation using a variety of tools, and describe the properties and relationships of the interior and exterior
Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.
no triangle can have more than one right angle or obtuse angle.
Congruence Theorems in Action Isosceles Triangle Theorems.3 Learning Goals In this lesson, you will: Prove the Isosceles Triangle Base Theorem. Prove the Isosceles Triangle Vertex Angle Theorem. Prove
Geometry 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
Postulates, 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
Mgr. ubomíra Tomková GEOMETRY
GEOMETRY NAMING ANGLES: any angle less than 90º is an acute angle any angle equal to 90º is a right angle any angle between 90º and 80º is an obtuse angle any angle between 80º and 60º is a reflex angle
INSIDE the circle. The angle is MADE BY. The angle EQUALS
ANGLES IN A CIRCLE The VERTEX is located At the CENTER of the circle. ON the circle. INSIDE the circle. OUTSIDE the circle. The angle is MADE BY Two Radii Two Chords, or A Chord and a Tangent, or A Chord
Warm-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
Chapter 2 QUIZ. Section 2.1 The Parallel Postulate and Special Angles
Chapter 2 QUIZ Section 2.1 The Parallel Postulate and Special Angles (1.) How many lines can be drawn through point P that are parallel to line? (2.) Lines and m are cut by transversal t. Which angle corresponds
Proving Theorems about Lines and Angles
Proving Theorems about Lines and Angles Angle Vocabulary Complementary- two angles whose sum is 90 degrees. Supplementary- two angles whose sum is 180 degrees. Congruent angles- two or more angles with
Geometry. Parallel Lines.
1 Geometry Parallel Lines 2015 10 21 www.njctl.org 2 Table of Contents Lines: Intersecting, Parallel & Skew Lines & Transversals Parallel Lines & Proofs Properties of Parallel Lines Constructing Parallel
Name Period Date. Adjacent angles have a common vertex and a common side, but no common interior points. Example 2: < 1 and < 2, < 1 and < 4
Reteaching 7-1 Pairs of Angles Vertical angles are pairs of opposite angles formed by two intersecting lines. They are congruent. Example 1: < 1 and < 3, < 4 and < 2 Adjacent angles have a common vertex
Angles. Problems: A.! Name the vertex of the angle. What rays are the sides of the angle? C.! Give three other names of LJK.
ngles page # Problems:. ngles. Name the vertex of the angle.. What rays are the sides of the angle? J. Give three other names of LJK.. Name the following angles with three letters: = = N M The remaining
Lesson 13: Angle Sum of a Triangle
Student Outcomes Students know the Angle Sum Theorem for triangles; the sum of the interior angles of a triangle is always 180. Students present informal arguments to draw conclusions about the angle sum
Geometry Final Review
Name: ate: 1. In the accompanying diagram, lines a and b are parallel, and lines c and d are transversals. Which angle is congruent to angle 8? 2. Which geometric principle is used to justify the construction
Unit 6 Polygons and Quadrilaterals
6.1 What is a Polygon? A closed plane figure formed by segments that intersect only at their endpoints Regular Polygon- a polygon that is both equiangular and equilateral Unit 6 Polygons and Quadrilaterals
Welcome to Pre-AP Geometry. Summer Homework
Welcome to Pre-AP Geometry Summer Homework Congratulations, you have qualified to be enrolled in Pre-AP Geometry. This class is a rigorous, 10 th grade level mathematics class. This class requires summer
Use the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2016 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
Triangle Geometry Isometric Triangles Lesson 1
Triangle eometry Isometric Triangles Lesson 1 Review of all the TORMS in OMTRY that you know or soon will know!. Triangles 1. The sum of the measures of the interior angles of a triangle is 180º (Triangle
TOPIC 2 Building Blocks of Geometry. Good Luck To
Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures
Geometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
Math-2. Lesson 5-3 Two Column Proofs
Math-2 Lesson 5-3 Two Column Proofs Vocabulary Adjacent Angles have a common side and share a common vertex Vertex. B C D A Common Side A Two-Column Proof is a logical argument written so that the 1st
Lines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
Find the coordinates of the midpoint of the segment with the given endpoints. Use the midpoint formula.
Concepts Geometry 1 st Semester Review Packet Use the figure to the left for the following questions. 1) Give two other names for AB. 2) Name three points that are collinear. 3) Name a point not coplanar
GEOMETRY. Chapter 4: Triangles. Name: Teacher: Pd:
GEOMETRY Chapter 4: Triangles Name: Teacher: Pd: Table of Contents DAY 1: (Ch. 4-1 & 4-2) Pgs: 1-5 Pgs: 6-7 SWBAT: Classify triangles by their angle measures and side lengths. Use triangle classification