Attendance Problems. 1. Sketch a right angle and its angle bisector.
|
|
|
- Matthew Charles
- 6 years ago
- Views:
Transcription
1 Page 1 of 10 ttendance Problems. 1. Sketch a right angle and its angle bisector. 2. Draw three different squares with (3, 2) as one verte. 3. Find the values of and y if (3, 2) = ( + 1, y 3) Vocabulary transformation reflection preimage rotation image translation I can identify reflections, rotations, and translations. I can graph transformations in the coordinate plane. Common Core CC.9-12.G.CO. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. CC.9-12.G.CO.2 Represent transformations in the plane using. CC.9-12.G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure Specify a sequence of transformations that will carry a given figure onto another.
2 Page 2 of 10 The lhambra, a 13th-century palace in Grenada, Spain, is famous for the geometric patterns that cover its walls and floors. To create a variety of designs, the builders based the patterns on several different transformations.. What is a transformation? 5. In a transformation, what is the original image called? 6. In a transformation, what is the new image called? 7. What is the notation used to show a transformation? 8. How do you label the point of the transformed image?
3 Page 3 of 10 Video Eample 1. Identify the transformation. Then use arrow notation to describe the transformation.. B. 1 Identifying Transformations Identify the transformation. Then use arrow notation to describe the transformation. F E G G E The transformation is a reflection. EFG E F G F The transformation cannot be a translation because each point and its image are not in the same position.
4 Page of 10 Identify the transformation. Then use arrow notation to describe the transformation. B T S The transformation cannot be a reflection because each point and its image are not the same distance from a line of reflection. U R U T R S The transformation is a 90 rotation. RSTU R S T U Eample 1. Identify the transformation. Then use arrow notation to describe the transformation.. B.
5 Page 5 of 10 Guided Practice. Identify the transformation. Then use arrow notation to describe the transformation Video Eample 2. figure has vertices at (2, ), B(, -1), and C(2, -1). fter a transformation, the image of the figure has vertices at (-2, ), B (-, -1), and C (-2, -1). Draw the preimage and the image. Then identify the transformation. 2 Drawing and Identifying Transformations figure has vertices at (-1, ), B (-1, 1), and C (3, 1). fter a transformation, the image of the figure has vertices at (-1, -), B (-1, -1), and C (3, -1). Draw the preimage and image. Then identify the transformation. Plot the points. Then use a straightedge to connect the vertices. The transformation is a reflection across the -ais because each point and its image are the same distance from the -ais. - 2 B B -2 y C C
6 Page 6 of 10 Eample 2. figure has vertices at (1, 1), B(2, 3), and C(, 2). fter a transformation, the image of the figure has vertices at '( 1, 1), B'( 2, 3), and C'(, 2). Draw the preimage and image. Then identify the transformation. 11. Guided Practice: figure has vertices at E(2, 0), F(2, -1), G(5, -1), and H(5, 0). fter a transformation, the image of the figure has vertices at E (0, 2), F (1, 2), G (1, 5), and H (0, 5). Draw the preimage and image. Then identify the transformation. To find coordinates for the image of a figure in a translation, add a to the -coordinates of the preimage and add b to the y-coordinates of the preimage. Translations can also be described by a rule such as,y ( ) ( + a,y + b). Video Eample 3. Find the coordinates for the image of BC after the translation (,y) ( 3, y + 2). Draw the image.
7 To find coordinates for the image of a figure in a translation, add a to the -coordinates of the preimage and add b to the y-coordinates of the preimage. Geometry can 1-7 Study Guide: Transformations the as Coordinate Translations also be described by a rule in such a, y50-52) + b). ( + (pp (, y) Plane Page 7 of 10 MPLE 3 Translations in the Coordinate Plane Find the coordinates for the image of "BC after the translation (, y) ( + 3, y - ). Draw the image. Step 1 Find the coordinates of #BC. The vertices of #BC are (-1, 1), B(-3, 3), and C(-, 0). B C - 0 y - Step 2 pply the rule to find the vertices y 1-7 Transformations in the Coordinate Plane 51 B of the image.!(-1 + 3, 1 - ) =!(2, -3) B!(-3 + 3, 3 - ) = B!(0, -1) C 0 B! - C!(- + 3, 0 - ) = C!(-1, -) 2/18/11 Step 3 Plot the points. Then finish drawing the image by using a straightedge to connect the vertices.! C! Eample 3. Find the coordinates for the image of BC after the translation y 3. Find the coordinates for the image Drawafter the image. (, y) + 2, y 1of.JKLM the translation (, y) ( - 2, y + ). Draw the image. J ( 11:39:33 M ) K MPLE M L rt History pplication y The pattern shown is similar to a pattern on a wall of the lhambra. Write a rule for the translation of square 1 to square 2. Step 1 Choose 2 points Choose a point on the preimage and a corresponding point! on the image. has coordinates (3, 1), and! has coordinates (1, 3). Step 2 Translate To translate to!, 2 units are subtracted from the -coordinate and 2 1 3
8 Page 8 of Guided Practice: Find the coordinates for the image of JKLM after the translation,y ( ) ( 2,y + ). Draw the image. Video Eample. The pattern shown is similar to a pattern on a wall of the lhambra. Write a rule for the translation of square to square 2. rt History pplication The pattern shown is similar to a pattern on a wall of the lhambra. Write a rule for the translation of square 1 to square 2. Step 1 Choose 2 points Choose a point on the preimage and a corresponding point on the image. has coordinates (3, 1), and has coordinates (1, 3). 3 y 2 1 Step 2 Translate To translate to, 2 units are subtracted from the -coordinate and 2 units are added to the y-coordinate. Therefore, the translation rule is (, y) ( - 2, y + 2).
9 Page 9 of 10 Eample. The figure shows part of a tile floor. Write a rule for the translation of heagon 1 to heagon Guided Practice: Use the diagram to write a rule for the translation of square 1 to square ssignment (pp 53-55) 8, 10-12, 1, 18, 2, Geometry Ready to Go On Section 1b Pre-Test
10 Page 10 of 10
1-7 Transformations in the Coordinate Plane
1-7 Transformations in the Coordinate Plane Warm Up Lesson Presentation Lesson Quiz Warm Up 1. Draw a line that divides a right angle in half. 2. Draw three different squares with (3, 2) as one vertex.
I can identify reflections, rotations, and translations. I can graph transformations in the coordinate plane.
Page! 1 of! 14 Attendance Problems. 1. Sketch a right angle and its angle bisector. 2. Draw three different squares with (3, 2) as one vertex. 3. Find the values of x and y if (3, 2) = (x + 1, y 3) Vocabulary
Module 1 Topic C Lesson 14 Reflections
Geometry Module 1 Topic C Lesson 14 Reflections The purpose of lesson 14 is for students to identify the properties of reflection, to use constructions to find line of reflection, get familiar with notations
Learning Task: Exploring Reflections and Rotations
Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential
Learning Task: Exploring Reflections and Rotations
Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential
Chapter 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
A rotation is a transformation that turns a figure around a point, called the.
Name: # Geometr: Period Ms. Pierre Date: Rotations Toda s Objective KWBAT represent a rotation as a function of coordinate pairs and rotate a figure in the plane following a rule described in words or
I can identify, name, and draw points, lines, segments, rays, and planes. I can apply basic facts about points, lines, and planes.
Page 1 of 9 Are You Ready Chapter 1 Pretest & skills Attendance Problems Graph each inequality. 1. x > 3 2. 2 < x < 6 3. x > 1 or x < 0 Vocabulary undefined term point line plane collinear coplanar segment
Content Standards G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel
Content Standards G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5 Given a geometric figure
Identify parallel lines, skew lines and perpendicular lines.
Learning Objectives Identify parallel lines, skew lines and perpendicular lines. Parallel Lines and Planes Parallel lines are coplanar (they lie in the same plane) and never intersect. Below is an example
Unit 4 Guided Notes Part 2 Geometry
Unit 4 Guided Notes Part 2 Geometry Name: Important Vocabulary: Transformation: A change in,, or of a geometric figure. Rigid transformation: A transformation that preserves measures and of segments. Transformation
Chapter 2: Transformational Geometry Assignment Sheet
hapter : Transformational Geometry ssignment Sheet # Name omplete? 1 Functions Review Video : Transformations 3 Generic Transformations and Isometries 4 Symmetry 5 Dilations and Translations 6 Lab: Reflections
Unit 5: Transformations in the Coordinate Plane
Unit 5: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and angle: rotations, reflections, and translations.
Ready to Go On? Skills Intervention 1-1 Understanding Points, Lines, and Planes
1 Read to Go On? Skills Intervention 1-1 Understanding Points, Lines, and Planes Find these vocabular words in Lesson 1-1 and the Multilingual Glossar. Vocabular point line plane collinear coplanar segment
Plot and connect the points in a coordinate plane to make a polygon. Name the polygon.
. Start Thinking Find at least two objects in each of the following categories: circle, square, triangle, and rectangle (nonsquare). Use a table to compare each object of the same categor in the following
9 3 Rotations 9 4 Symmetry
h 9: Transformations 9 1 Translations 9 Reflections 9 3 Rotations 9 Smmetr 9 1 Translations: Focused Learning Target: I will be able to Identif Isometries. Find translation images of figures. Vocabular:
Geo - CH1 Practice Test
Geo - H1 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best sketch, drawing,
Honors Geometry Sections
Honors Geometry Sections 14.3 14.4 Name Determine whether the figure has rotational symmetry. If so, describe the rotations that map the figure onto itself. 1. 2. 3. Use the diagram to complete each sentence.
Practice For use with pages
9. For use with pages 598 605 Use the translation (, ) ( 6, 3).. What is the image of (3, )?. What is the image of (4, )? 3. What is the preimage of 9(, 7)? 4. What is the preimage of 9(3, )? The vertices
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
Let s Get This Started!
Lesson. Skills Practice Name Date Let s Get This Started! Points, Lines, Planes, Rays, and Line Segments Vocabulary Write the term that best completes each statement.. A geometric figure created without
Unit 5 Lesson 2 Investigation 1
Name: Investigation 1 Modeling Rigid Transformations CPMP-Tools Computer graphics enable designers to model two- and three-dimensional figures and to also easil manipulate those figures. For eample, interior
Construction Blueprints A Practice Understanding Task
90 Construction Blueprints A Practice Understanding Task For each of the following straightedge and compass constructions, illustrate or list the steps for completing the construction and give an eplanation
Geometry Unit 1: Transformations in the Coordinate Plane. Guided Notes
Geometry Unit 1: Transformations in the Coordinate Plane Guided Notes Standard: MGSE9 12.G.CO.1 Know precise definitions Essential Question: What are the undefined terms essential to any study of geometry?
Isometry: When the preimage and image are congruent. It is a motion that preserves the size and shape of the image as it is transformed.
Chapter Notes Notes #36: Translations and Smmetr (Sections.1,.) Transformation: A transformation of a geometric figure is a change in its position, shape or size. Preimage: The original figure. Image:
Quarter 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
Geometry Semester 1 Final Review Part 1 (Units 1 3)
Name: Date: Block: Geometry Semester 1 Final Review Part 1 (Units 1 3) Unit 1 (Holt Sections 1-1 1-5) 1. Draw and label each of the following. a) a line containing points R and S. b) a ray with endpoint
7. 2 More Things Under. Construction. A Develop Understanding Task
7 Construction A Develop Understanding Task Like a rhombus, an equilateral triangle has three congruent sides. Show and describe how you might locate the third vertex point on an equilateral triangle,
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
DIOCESE OF HARRISBURG MATHEMATICS CURRICULUM GRADE 8
MATHEMATICS CURRICULUM GRADE 8 8A Numbers and Operations 1. Demonstrate an numbers, ways of representing numbers, relationships among numbers and number systems. 2. Compute accurately and fluently. a.
3.1 Sequences of Transformations
Name lass Date 3.1 Sequences of Transformations Essential Question: What happens when ou appl more than one transformation to a figure? Eplore ombining Rotations or Reflections transformation is a function
Chapter 11 Areas of Polygons and Circles
Section 11-1: Areas of Parallelograms and Triangles SOL: G.14 The student will use similar geometric objects in two- or three-dimensions to a) compare ratios between side lengths, perimeters, areas, and
B. 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
Vocabulary for Student Discourse Pre-image Image Rotate Symmetry Transformation Rigid transformation Congruent Mapping Point of symmetry
Lesson 4 - page 1 Title: Rotations and Symmetry I. Before Engagement Duration: 2 days Knowledge & Skills Understand transformations as operations that map a figure onto an image Understand characteristics
Chapter 12 Transformations: Shapes in Motion
Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Pages 1-10 SWBAT: Graph Reflections in the Coordinate Plane HW: Pages #11-15 Translations Day 2....... Pages 16-21
Translation. Reflection Over a line Answers will vary YES NO YES NO. Rotation. Dilation. Name KEY Per Date. Geometry Review Qtr4, Lessons 1 2
Geometry Review Qtr4, Lessons 1 2 Name KEY Per Date Transformations 1. Complete the table below. Important Features Transformation
Geometry: Unit 1: Transformations. Chapter 14 (In Textbook)
Geometry: Unit 1: Transformations Chapter 14 (In Textbook) Transformations Objective: Students will be able to do the following, regarding geometric transformations. Write Transformations Symbolically
Drawing Polygons in the Coordinate Plane
Lesson 7 Drawing Polgons in the Coordinate Plane 6.G. Getting the idea The following points represent the vertices of a polgon. A(, 0), B(0, ), C(, ), D(, ), and E(0, ) To draw the polgon, plot the points
Protractor Dilation Similar figures Scale Factor Reduction Counterclockwise Enlargement Ratio Symmetry Line of symmetry line (reflectional)
1 Pre-AP Geometry Chapter 4 Test Review Standards/Goals: (Algebra I/II): D.1.a./A.REI.3./A.CED.1.: o I can solve a multi-step inequality in one variable. o I can solve and graph a compound inequality and
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
Chapters 7 & 8. Parallel and Perpendicular Lines/Triangles and Transformations
Chapters 7 & 8 Parallel and Perpendicular Lines/Triangles and Transformations 7-2B Lines I can identify relationships of angles formed by two parallel lines cut by a transversal. 8.G.5 Symbolic Representations
2-1 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
CC Geometry H Aim #12: How do we do transformations without the use of a coordinate plane?
CC Geometry H im #12: How do we do transformations without the use of a coordinate plane? y o Now: Plot ΔBC with (3,2), B(3,6), and C(6,2) a) Reflect ΔBC over the x axis (r x-axis ) State the coordinates
1-1. Points, Lines, and Planes. Lesson 1-1. What You ll Learn. Active Vocabulary
1-1 Points, Lines, and Planes What You ll Learn Scan the text in Lesson 1-1. Write two facts you learned about points, lines, and planes as you scanned the text. 1. Active Vocabulary 2. New Vocabulary
Geometry. Topic 1 Transformations and Congruence
Geometry Topic 1 Transformations and Congruence MAFS.912.G-CO.1.2 Consider the point A at ( 3, 5). A. Find the coordinates of A, the image of A after the transformation: (, ) (, ). B. What type of transformation
Geometry Syllabus Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School
Geometry Syllabus 2016-2017 Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School TOPIC SCCCR STANDARD DAYS REQUIRED BASICS OF GEOMETRY: About points, lines, planes angles
Properties of Rotations
Properties of Rotations Student Probe Find the image of a 50 o counterclockwise rotation about point P. A P B Lesson Description The lesson examines rotations as the transformation obtained by reflecting
Secondary 1 Vocabulary Cards and Word Walls Revised: June 27, 2012
Secondary 1 Vocabulary Cards and Word Walls Revised: June 27, 2012 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board
COORDINATE ALGEBRA UNIT 5: TRANSFORMATIONS IN THE COORDINATE PLANE. 1. On this coordinate plane, UVW has been transformed to form its image U''V''W''.
1. On this coordinate plane, UVW has been transformed to form its image U''V''W''. 3.Graph the figure and its image under the given translation: EFG with vertices E (-2, -3), F (-3, -2), G (-1, -1) under
Geometry. Transformations. Slide 1 / 154 Slide 2 / 154. Slide 4 / 154. Slide 3 / 154. Slide 6 / 154. Slide 5 / 154. Transformations.
Slide 1 / 154 Slide 2 / 154 Geometry Transformations 2014-09-08 www.njctl.org Slide 3 / 154 Slide 4 / 154 Table of ontents click on the topic to go to that section Transformations Translations Reflections
8.2 Equations of Loci
8.2 Equations of Loci locus is a set of points defined b a rule or condition. For eample, if a dog is attached b a 10-m leash to a post in the middle of a large ard, then the locus of the farthest points
MAKE GEOMETRIC CONSTRUCTIONS
MAKE GEOMETRIC CONSTRUCTIONS KEY IDEAS 1. To copy a segment, follow the steps given: Given: AB Construct: PQ congruent to AB 1. Use a straightedge to draw a line, l. 2. Choose a point on line l and label
Transformation Packet
Name Transformation Packet UE: TEST: 1 . Transformation Vocabular Transformation Related Terms Sketch Reflection (flip across a line) Line of reflection Pre-image and image Rigid Rotation (turn about a
Properties of Rotations
Properties of Rotations Student Probe Find the image of a 50 counterclockwise rotation about point P. Lesson Description The lesson examines rotations as the transformation obtained by reflecting an object
6. 5 Symmetries of Quadrilaterals
2 CC BY fdecomite 6. Symmetries of Quadrilaterals A Develop Understanding Task A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation
Mathematics Curriculum
New York State Common Core Mathematics Curriculum Table of Contents 1 Congruence, Proof, and Constructions MODULE 1... 3 Topic A: Basic Constructions (G-CO.1, G-CO.12, G-CO.13)... 7 Lesson 1: Construct
Vocabulary for Student Discourse Pre-image Image Reflect Symmetry Transformation Rigid transformation Congruent Mapping Line of symmetry
Lesson 3 - page 1 Title: Reflections and Symmetry I. Before Engagement Duration: 2 days Knowledge & Skills Understand transformations as operations that map a figure onto an image Understand characteristics
We can use square dot paper to draw each view (top, front, and sides) of the three dimensional objects:
Unit Eight Geometry Name: 8.1 Sketching Views of Objects When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means equal
ACTIVITY 9. Learning Targets: 112 SpringBoard Mathematics Geometry, Unit 2 Transformations, Triangles, and Quadrilaterals. Reflection.
Learning Targets: Perform reflections on and off the coordinate plane. Identif reflectional smmetr in plane figures. SUGGESTED LERNING STRTEGIES: Visualization, Create Representations, Predict and Confirm,
Construction: Draw a ray with its endpoint on the left. Label this point B.
Name: Ms. Ayinde Date: Geometry CC 1.13: Constructing Angles Objective: To copy angles and construct angle bisectors using a compass and straightedge. To construct an equilateral triangle. Copy an Angle:
Geometry. 4.4 Congruence and Transformations
Geometry 4.4 Congruence and Transformations 4.4 Warm Up Day 1 Plot and connect the points in a coordinate plane to make a polygon. Name the polygon. 1. A( 3, 2), B( 2, 1), C(3, 3) 2. E(1, 2), F(3, 1),
Isometries and Congruence
Honors Geometr Section.1 Name: Date: Period: Isometries and Congruence transformation of a geometric figure is a change in its position, shape, or size.. The original figure is called the preimage. The
Geometry. 4.4 Congruence and Transformations
Geometry 4.4 Congruence and Transformations 4.4 Warm Up Day 1 Plot and connect the points in a coordinate plane to make a polygon. Name the polygon. 1. A(-3, 2), B(-2, 1), C(3, 3) 2. E(1, 2), F(3, 1),
UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE
UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE Unit 1: Transformations in the Coordinate Plane In this unit, students review the definitions of three types of transformations that preserve distance and
Example 1: MATH is a parallelogram. Find the values of w, x, y, and z. Write an equation for each and write the property of parallelograms used.
Name: Date: Period: Geometr Notes Parallelograms Fab Five Quadrilateral Parallelogram Diagonal Five Fabulous Facts about Parallelograms: ) ) 3) 4) 5) ***This is the Parallelogram Definition and Theorems!
6. f(x) = x f(x) = x f(x) = x f(x) = 3 x. 10. f(x) = x + 3
Section 9.1 The Square Root Function 879 9.1 Eercises In Eercises 1-, complete each of the following tasks. i. Set up a coordinate sstem on a sheet of graph paper. Label and scale each ais. ii. Complete
2. A straightedge can create straight line, but can't measure. A ruler can create straight lines and measure distances.
5.1 Copies of Line Segments and Angles Answers 1. A drawing is a rough sketch and a construction is a process to create an exact and accurate geometric figure. 2. A straightedge can create straight line,
Name Date. using the vector 1, 4. Graph ABC. and its image. + to find the image
_.1 ractice 1. Name the vector and write its component form. K J. The vertices of, 3, 1,, and 0, 1. Translate using the vector 1,. Graph and its image. are ( ) ( ) ( ) 3. Find the component form of the
The National Strategies Secondary Mathematics exemplification: Y8, 9
Mathematics exemplification: Y8, 9 183 As outcomes, Year 8 pupils should, for example: Understand a proof that the sum of the angles of a triangle is 180 and of a quadrilateral is 360, and that the exterior
Geometry: Traditional Pathway
GEOMETRY: CONGRUENCE G.CO Prove geometric theorems. Focus on validity of underlying reasoning while using variety of ways of writing proofs. G.CO.11 Prove theorems about parallelograms. Theorems include:
Geometry. 4.1 Translations
Geometry 4.1 Translations 4.1 Warm Up Translate point P. State the coordinates of P'. 1. P(-4, 4); 2 units down, 2 units right 2. P(-3, -2); 3 units right, 3 units up 3. P(2,2); 2 units down, 2 units right
To draw and identify rotation images of figures
9-3 otations ommon ore State Standards G-.. evelop definitions of rotations... in terms of angles, circles, perpendicular lines, parallel lines, and line segments. lso G-.., G-..6 M 1, M 3, M bjective
a) Draw a line through points A and B. What is one symbol or name for it?
Lesson 1A: Geometric Notation Name: Use correct notation when referring to lines, segments, rays, and angles. 1. Lines P A C D Q E F G H I a) Draw a line through points A and. What is one symbol or name
ANGLES See the Math Notes boxes in Lessons and for more information about angle relationships.
CC1 Basic Definitions Defense Practice ANGLES 2.1.1 2.1.5 Applications of geometr in everda settings often involve the measures of angles. In this chapter we begin our stud of angle measurement. After
Translations, Reflections, and Rotations
Translations, Reflections, and Rotations This photo shows a classic optical illusion called the Necker Cube. It's an example of an impossible object. Optical illusions are often helpful to scientists who
A transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure.
Translations Geometry Unit 9: Lesson 1 Name A transformation is a function, or mapping, that results in a change in the position, shape, or size of the figure. Some basic transformations include translations,
CST Geometry Practice Problems
ST Geometry Practice Problems. Which of the following best describes deductive reasoning? using logic to draw conclusions based on accepted statements accepting the meaning of a term without definition
Properties of Rotations 8.10.A. Sketch the image of the rotation. Label the images of points A, B, and C as A, B, and C.
? LESSN 1.3 ESSENTIL QUESTIN Properties of Rotations How do ou describe the properties of orientation and congruence of rotations? Two-dimensional shapes 8.10. Generalize the properties of orientation
9-1. Translations. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
9- Translations Vocabular Review. Underline the correct word to complete the sentence. If two triangles are congruent, corresponding angle measures are the same/ different and corresponding side lengths
To draw and identify rotation images of figures
9-3 -11 otations ontent Standards G..4 evelop definitions of rotations... in terms of angles, circles, perpendicular lines, parallel lines, and line segments. lso G.., G..6 bjective o draw and identify
Math 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
UCS Geometry SEMESTER 1 REVIEW GUIDE #2 STU COPY. 1. Translate the preimage A ( 2, 1) left 4 units and down 7 units.
2015-2016 UCS Geometry SEMESTER 1 REVIEW GUIDE #2 STU COPY 1. Translate the preimage A ( 2, 1) left 4 units and down 7 units. 2. Use the rule (x, y) (x 5, y + 8) to describe in words how the translation
Construction Blueprints A Practice Understanding Task
90 Construction Blueprints A Practice Understanding Task For each of the following straightedge and compass constructions, illustrate or list the steps for completing the construction and give an eplanation
Lesson 9 Reflections Learning Targets :
Reflections Learning Targets : I can construct the line of reflection using the compass and a straightedge I can draw the reflected figure using a compass and a straightedge and on coordinate grid Opening
14.2 Angles in Inscribed Quadrilaterals
Name lass ate 14.2 ngles in Inscribed Quadrilaterals Essential Question: What can you conclude about the angles of a quadrilateral inscribed in a circle? Explore G.12. pply theorems about circles, including
Ganado Unified School District Geometry
Ganado Unified School District Geometry PACING Guide SY 2016-2017 Timeline & Resources 1st Quarter Unit 1 AZ & ELA Standards Essential Question Learning Goal Vocabulary CC.9-12.G.CO. Transformations and
4-1 Congruence and Transformations
4-1 Congruence and Transformations Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Objectives Draw, identify, and describe transformations in the coordinate plane. Use properties
Rational Numbers: Graphing: The Coordinate Plane
Rational Numbers: Graphing: The Coordinate Plane A special kind of plane used in mathematics is the coordinate plane, sometimes called the Cartesian plane after its inventor, René Descartes. It is one
AJ has been constructed as the angle bisector of BAD. B. AJ is the of BD.
im #9: How do we construct a perpendicular bisector? Do Now: Using the angle below: 1. isect the angle. Label the bisector D. 2. Construct a copy of DC using vertex '. CC Geometry H C ' Relevant Vocabulary
Size Transformations in the Coordinate Plane
Size Transformations in the Coordinate Plane I.e. Dilations (adapted from Core Plus Math, Course 2) Concepts 21-26 Lesson Objectives In this investigation you will use coordinate methods to discover several
Unit 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
Reteach. Understanding Points, Lines, and Planes. P point P
Name Date Class 1-1 Understanding Points, Lines, and Planes A point has no size. It is named using a capital letter. All the figures below contain points. line Figure Characteristics Diagram Words and
angle The figure formed by two lines with a common endpoint called a vertex. angle bisector The line that divides an angle into two equal parts.
A angle The figure formed b two lines with a common endpoint called a verte. verte angle angle bisector The line that divides an angle into two equal parts. circle A set of points that are all the same
Transformations. Working backwards is performing the inverse operation. + - and x 3. Given coordinate rule
Transformations In geometry we use input/output process when we determine how shapes are altered or moved. Geometric objects can be moved in the coordinate plane using a coordinate rule. These rules can
15.2 Angles in Inscribed Quadrilaterals
Name lass ate 15.2 ngles in Inscribed Quadrilaterals Essential Question: What can you conclude about the angles of a quadrilateral inscribed in a circle? Resource Locker Explore Investigating Inscribed
PARCC Review. The set of all points in a plane that are equidistant from a given point is called a
Name 1. Select the drop-down menus to correctly complete each sentence. PARCC Review The set of all points in a plane that are equidistant from a given point is called a The given point is called the Radius
G.CO Reflections and Isosceles
G.CO Reflections and Isosceles Triangles Alignments to Content Standards: G-CO.B Task Suppose is an isosceles triangle with side congruent to side AC as pictured below: Also pictured above is the midpoint
Translations. Essential Question How can you translate a figure in a coordinate plane? A B
. Translations Essential Question How can ou translate a figure in a coordinate plane? Translating a Triangle in a oordinate Plane USING TOOLS STRTEGILLY To be proficient in math, ou need to use appropriate
1) y = 2x 7 2) (-2, 3) ( 3, -1) 3) table. 4) y 5 = ½ ( x 4) 5) 2x + 4y = 7 6) y = 5 7) 8) 9) (-1, 5) (0, 4) 10) y = -3x 7. 11) 2y = -3x 5 12) x = 5
I SPY Slope! Geometr tetbook 3-6, pg 165 (), pg 172 (calculator) Name: Date: _ Period: Strategies: On a graph or a table rise ( Δ) Slope = run Δ ( ) Given 2 points Slope = 2 2 In an equation 1 1 1) = 2
Tests for Parallelograms
Tests for Parallelograms Recognize the conditions that ensure a Prove that a set of points forms a parallelogram in the coordinate plane. are parallelograms used in architecture? The roof of the covered