Butterflies, Pinwheels, and Wallpaper
|
|
|
- Damon Ball
- 5 years ago
- Views:
Transcription
1 Butterflies, Pinwheels, and Wallpaper Day Topic Homework IXL Grade 1 Inv 1.1 Inv 1/ACE # Inv 1.2 Inv 1/ACE # Inv 1.3 Inv 1/ACE # 8-12 (all part a only!) 4 Inv 1.4 Inv 1/ACE # 14-17, 30-34, 36a, 37a 5 Practice Study for Quiz P.1 6 Quiz Worksheet 1 P.2 7 Inv 2.1 Worksheet 2 P.3 8 Inv 2.2 Worksheet 3 P.4 9 Inv 2.3 Worksheet 4 P.5 10 Inv 3.1 Worksheet 5 P.6 11 Inv 3.2 Worksheet 6 P.7 12 Inv 3.3 Study for Quiz P.8 13 Quiz Worksheet 7 P.9 14 Inv 3.4 Worksheet 8 P Inv 3.5 Worksheet 9 P Practice Worksheet 10 Q.1 17 Inv 4.1 Worksheet 11 Q.2 18 Inv 4.2 Worksheet 12 Q.3 19 Inv 4.3 Worksheet 13 Q.4 20 Inv 4.4 Worksheet 14 Q.5 21 Practice Review Packet 22 Review Study for Test 23 Unit Test None Quizzes: Friday 1/13 and Thursday 1/26 Test: Friday 2/10 Name: 1
2 2
3 Investigation 1 VOCABULARY Reflection Symmetry: ( or symmetry) If a design is cut in, one half is the of the other half. Rotation Symmetry: ( or symmetry) If a design is less than a full circle around a center point, it will look the same as it did in its original position. Translational Symmetry: ( symmetry) If you can a design to a position in which it looks exactly the same as it did in its original position. Basic Design Element: the piece of a design which can be used to create the remainder of the design. Transformation: any to a basic element Center of rotation: the about which a design can be turned to create the new image Angle of rotation: the angle that a basic design element can be turned to create the new image 3
4 Line of Symmetry: ( of symmetry) the that divides an image in to create mirror images Investigation 1.1 A) Do part A #1 Observations: All of the line segments are. The point and its image are the distance from. All of the line segments are to line m. The points that do not move are the points that are. B) Locate and draw the line of symmetry. 4
5 C) Try to draw the reflection of JKLM using the information you gathered from part A. Will the image be congruent to JKLM? Will the image points be on the same side of line n? D) Complete this sentence: A reflection in line m matches each point X on a figure to an image point X so that they are from line m, line segment XX is to line m, and line m or line segment XX. 5
6 Investigation 1.2 A) 1) 2) The point image matches are: A, G, E, C, H, F, D, and B. AO ; HO 3) Each point moves along an arc of a circle with at O. The radius of the circle is the distance between point O and points A, G, E, and C. Likewise, points H, F, D, and B move along the arc of a circle with the same center but a different. 4) Points X, X, and the center of the compass star O determine a angle XPX and line segments XP and have the same length. 5) Yes, this compass star also symmetry about any of the line segments drawn through the center point O. 6
7 B) Try to draw a pattern that has 90 o rotation symmetry. 7
8 C) Compare and contrast reflection symmetry and rotation symmetry. Feel free to use a graphic organizer of your choice. D) Complete this sentence: A rotation of d degrees about point O matches each point X on a figure to an image point X so that OX is to OX and angle XOX has a measure of o. 8
9 Investigation 1.3 Complete A #1 Diagram 1 Diagram 2 Observations: All the line segments drawn are. All of the line segments drawn are. 9
10 B. Just try to draw the translation of ABCDB using the arrow as the direction and distance that you slide. C) Compare translation symmetry to reflection and rotation symmetry. D) Complete this sentence: A translation matches any two points X and Y on a figure to points X and Y so that XX and YY are and. 10
11 Investigation
12 Labsheet 2.1 Question D Two figures are congruent if they have the same and. They are also congruent if you can apply a or series of transformations on one to get the other. A) A-> B-> C-> D-> B) C) A B C D D) 1) How can you transform ABCD to PQRS? Be sure to describe your transformation exactly. Is there more than one way? 2) How could you rename quadrilateral PQRS so that its name shows how the vertices correspond to those of quadrilateral ABCD? 12
13 Labsheet 2.2 Questions A F A. Are triangles ABC and XYZ congruent? B. Are triangles DEF and STU congruent? C. Are triangles GHI and VWX congruent? Butterflies, Pinwheels, and Wallpaper 1 Investigation 2 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 13
14 Labsheet 2.2 Questions A F D. Are triangles JKL and MNO congruent? E. Are triangles STU and VWX congruent? F. Are triangles ABC and PQR congruent? Butterflies, Pinwheels, and Wallpaper 2 Investigation 2 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 14
15 Labsheet
16 16
17 C Butterflies, Pinwheels, and Wallpaper 1 Investigation 2 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 17
18 Labsheet Questions C E D E. 1. Butterflies, Pinwheels, and Wallpaper 2 Investigation 2 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 18
19 Labsheet 3.1 Reflection A. Complete the table showing coordinates of points A E and their images under a reflection in the y-axis Point A B C D E Original Coordinates (0, 0) (2, 4) Coordinates After a Reflection B. Complete the table showing coordinates of points A E and their images under a reflection in the x-axis Point A B C D E Original Coordinates (0, 0) (2, 4) Coordinates After a Reflection 19
20 Labsheet 3.1 Reflection C. Complete the table showing coordinates of points A E and their images under a reflection in the line y = x Point A B C D E Original Coordinates (0, 0) (2, 4) Coordinates After a Reflection Butterflies, Pinwheels, and Wallpaper 2 Investigation 3 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 20
21 Labsheet 3.2 Translation Make a table of the coordinates of key points for Mug 1 and his images under the translations. Look for patterns Point A B C D E F Coordinates of Mug 1 ( 5, 7) ( 1, 7) Coordinates of Mug 2 (3, 5) Coordinates of Mug 3 Coordinates of Mug 4 Butterflies, Pinwheels, and Wallpaper 1 Investigation 3 Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 21
22 Labsheet 3.3 Rotations of 90 and 180 A. Rotate points A E 90 counterclockwise about the origin. Complete the table showing the coordinates of points A E, which are the images of points A E Point A B C D E Original Coordinates (0, 0) (2, 4) Coordinates After a 90 Rotation B. Rotate points A E another 90 counterclockwise about the origin so that they rotate a total of 180. Complete the table showing the coordinates of points A" E", which are the images of points A E Point A B C D E Original Coordinates (0, 0) (2, 4) Coordinates After a 180 Rotation 22
23 Labsheet 3.4 Special Property of Translations and 180 Rotations A. Look at AB and its image after a translation, FG 1. In Investigation 1, you observed that a segment and its image after a translation appear to be congruent and parallel. Use the coordinates of the endpoints and slopes of lines to prove that your observation is correct 2. Are other pairs of segments in pentagons ABCDE and FGHIJ related in the same way? 23
24 Labsheet 3.4 Special Property of Translations and 180 Rotations B. Look at AB and its image after a half-turn, KL 1. How do the two segments appear to be related? 2. Use the coordinates of the endpoints to test your conjecture 3. Are other pairs of segments in pentagons ABCDE and FGHIJ related in the same way? C. Complete the following sentences to describe the pattern you found: 1. A translation moves every line m to a line n so that. 2. A half-turn moves every line m to a line n so that. D. If lines m and n are parallel, will it always be possible to find a translation or half-turn that moves one line onto the other? If so, what point should you choose for the center of the rotation? Explain 24
25 Labsheet Rotation Around Midpoints A) Complete the following sentences to explain why angles 1, 3, 5, and 7 are congruent. a. Angles 1 and 3 are congruent because b. Angles 5 and 7 are congruent because c. Angles 1 and 5 are congruent because d. What transformation moves angle 5 exactly onto angle 1? e. Angles 3 and 5 are congruent because f. Angles 1 and 7 are congruent because 25
26 Trace the triangle above. Be sure to label the angle measurements as 1, 2, and 3. Cut it out. Rotate the triangle 180 o around point M1. Trace it onto your paper. Label the angles. Label A, B, and C. Are any of the line segments parallel? Rotate the triangle 180 o around point M2. Trace it onto your paper. Label the angles. Label A, B, and C. Are any of the line segments parallel? Angles 1, 2, and 3 are the interior angles of the original triangle. What must be true about the sum of these angles? Why? 26
27 Labsheet 4.1 Dilation: ***Remember the Wumps!!*** A. Draw the image of quadrilateral PQRS after a dilation with center (0, 0) and scale factor 3. Label corresponding points P, Q, R and S. 1) 2) 3) 4) 5) 6) 27
28 B. 1) 2)a. b. C. Draw the image of quadrilateral PQRS after a dilation with center (0, 0) and scale factor ) 2) 3) 4) 5) 6) D. E. 1 28
29 Labsheet 4.2 Similarity A. Are triangles ABC and PQR similar? B. Are rectangles DEFG and STUV similar? C. Are parallelograms GHIJ and VWXY similar? D. 29
30 Labsheet 4.3 Similar Triangles and Slope of a Line A. B. 1) 2) 3) C. D. If angles in one triangle are equal in measure to corresponding angles in another triangle, then 30
31 E. The shortcut for proving that two triangles are similar helps to verity other observations you might have made. 1. In the figure below, the equation of the line is y = ax + b and points P, Z, and W are on the line. Find similar triangles and explain why they are similar. 2. How can you use the similar triangles explain why the slope of PZ equals the slope of PW (or the slope of ZW )? Explain. 31
32 Labsheet 4.4 Using Similar Triangles ***Remember the Wumps from Stretching and Shrinking!!*** A)
33 B) C) Omit (skip) 33
Butterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework Grade 1 Intro Day start work on notes, vocab, and ACE questions 2 Inv 1/ACE # 1-6, 8-12, 14-17, 19-20, 30-34, 36a, 37a due by Friday 1/9 at 3:15
Unit 5. Butterflies, Pinwheels, & Wallpaper. I can identify types of angles when parallel lines are cut by a transversal.
Unit 5 Butterflies, Pinwheels, & Wallpaper I can identify types of angles when parallel lines are cut by a transversal. Investigation 4 Practice Problems Lesson 1: Focus on Dilations #1 6 Lesson 2: Checking
Butterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Investigation #3: Transforming Coordinates Investigation #4: Dilations and Similar Figures Name Butterflies, Pinwheels and Wallpaper Investigation #3 Transforming
Unit 1 Test Review: Transformations in the Coordinate Plane
Unit 1 Test Review: Transformations in the Coordinate Plane 1. As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A B C D E F. Under this transformation,
GRADE 8 ADAPTED NJDOE ASSESSMENT. Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5. (To be administered after NPS Grade 8 Scope and Sequence Unit 2)
ADAPTED NJDOE ASSESSMENT GRADE 8 (To be administered after NPS Grade 8 Scope and Sequence Unit 2) Assessed Standards: 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5 The Newark Public Schools - Office of Mathematics 2013
Geometry Transformations
Geometry Transformations NAME Period 1 Transformations Notes Transformation: Maps an, called a, onto a final, called an. Reflection: a transformation representing a of a figure Reflecting over the x-axis,
Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.
Section 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
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.
Unit 5: Butterflies, Pinwheels, & Wallpaper
Unit 5: Butterflies, Pinwheels, & Wallpaper Directions: Please complete the necessary problems to earn a maximum of 10 points according to the chart below. Show all of your work clearly and neatly for
Name: Period 2/3/2012 2/16/2012 PreAP
Name: Period 2/3/2012 2/16/2012 PreP UNIT 11: TRNSFORMTIONS I can define, identify and illustrate the following terms: Symmetry Line of Symmetry Rotational Symmetry Translation Symmetry Isometry Pre-Image
Quadrilaterals & Transformations Study Guide
s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The
Name Date Class. component form.,
2-1 Translations Use the figure below to answer Problems 1 5. 1. Triangle RST is translated along vector ν to create the image R'S'T'. What are the coordinates of the vertices of the image? R' S' T' 2.
Unit 14: Transformations (Geometry) Date Topic Page
Unit 14: Transformations (Geometry) Date Topic Page image pre-image transformation translation image pre-image reflection clockwise counterclockwise origin rotate 180 degrees rotate 270 degrees rotate
Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2
Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral
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
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
Transformations and Congruence
Name Date Class UNIT 1 Transformations and Congruence Unit Test: C 1. Draw ST. Construct a segment bisector and label the intersection of segments Y. If SY = a + b, what is ST? Explain your reasoning.
Guided Problem Solving
-1 Guided Problem Solving GPS Student Page 57, Exercises 1 1: Match each rule with the correct translation. A. (x, y) (x, y 1 ) I. P(, 1) P (3, ) B. (x, y) (x 1 3, y) II. Q(3, 0) Q (3, ) C. (x, y) (x 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
G.CO.B.6: Properties of Transformations 2
1 Which expression best describes the transformation shown in the diagram below? 2 As shown in the diagram below, when right triangle DAB is reflected over the x-axis, its image is triangle DCB. 1) same
Honors Midterm Review
Name: Date: 1. Draw all lines of symmetry for these shapes. 4. A windmill has eight equally-spaced blades that rotate in the clockwise direction. 2. Use the figure below to answer the question that follows.
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
CCGPS 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,
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
Geometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
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
Line Symmetry a figure has line symmetry if the figure can be mapped onto itself by a reflection over a line drawn through the figure.
Geometry Unit 3 Transformations Test Review Packet Name: The Unit Test on Transformations contains the following topics: Isometries Translations Using Mapping Notation Using Vector Notation Naming Vectors,
For full credit, show all work. Study all geometry vocabulary words from your chapter packet.
Accelerated Review 9: Geometric Relationships Name: For full credit, show all work. Study all geometry vocabulary words from your chapter packet. Caleb drew a quadrilateral on his paper. Which of the following
Period: Date Lesson 13: Analytic Proofs of Theorems Previously Proved by Synthetic Means
: Analytic Proofs of Theorems Previously Proved by Synthetic Means 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
Chapter 12 Transformations: Shapes in Motion
Name Geometry Honors Date Per. Teacher Chapter 12 Transformations: Shapes in Motion 1 Table of Contents Reflections Day 1.... Page 3 Translations Day 2....... Page 10 Rotations/Dilations Day 3.... Page
4-7 Study Guide and Intervention Congruence Transformations
4-7 Study Guide and Intervention Congruence Transformations Identify Congruence Transformations A congruence transformation is a transformation where the original figure, or preimage, and the transformed
Introduction : Applying Lines of Symmetry
Introduction A line of symmetry,, is a line separating a figure into two halves that are mirror images. Line symmetry exists for a figure if for every point P on one side of the line, there is a corresponding
PARCC Review 1. Select the drop-down menus to correctly complete each sentence.
Name PARCC Review 1. Select the drop-down menus to correctly complete each sentence. 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
Working with Transformations on the Coordinate Plane
Working with Transformations on the Coordinate Plane Movies create the illusion of movement by showing us 24 images per second. When the human eye processes 24 images per second it is interpreted in our
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
UNIT 5: Transformations
Period: Date: May 11 & 12, 2015 UNIT 5: Transformations Checklist MAX Scored 1 Vocabulary 40 2 Transformations 30 3 Constructions 20 4 Random Transformations 30 Totals 120 Semester 2 Test Prep Section
Geometry Ch 7 Quadrilaterals January 06, 2016
Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side
MATH II SPRING SEMESTER FINALS REVIEW PACKET
Name Date Class MATH II SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical
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
Translations, Reflections, and Rotations
* Translations, Reflections, and Rotations Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after a transformation. Preimage- the original figure.
$100 $200 $300 $400 $500
Round 2 Final Jeopardy The Basics Get that Angle I Can Transform Ya Triangle Twins Polygon Party Prove It! Grab Bag $100 $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $200 $300 $300 $300
Date Target Assignment Done! 2.1 Quiz 2.2 Quiz 2.3 Quiz Unit 2 Test
Name Unit 2 Transformations Target 1: Identify and determine congruent parts given a rigid motion. Target 2: Perform and identify rigid transformations of points, segments, and figures. a. Perform and
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
(3) Proportionality. The student applies mathematical process standards to use proportional relationships
Title: Dilation Investigation Subject: Coordinate Transformations in Geometry Objective: Given grid paper, a centimeter ruler, a protractor, and a sheet of patty paper the students will generate and apply
EQUATIONS OF ALTITUDES, MEDIANS, and PERPENDICULAR BISECTORS
EQUATIONS OF ALTITUDES, MEDIANS, and PERPENDICULAR BISECTORS Steps to Find the Median of a Triangle: -Find the midpoint of a segment using the midpoint formula. -Use the vertex and midpoint to find the
GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET
Name Date Class GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical
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
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
Symmetry Transformations
Symmetry Transformations You can make symmetric designs by copying a basic figure to produce a balanced pattern. For example, to construct a design with reflection symmetry, start with pentagon and line
Additional Practice. Name Date Class. 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. Shapes and Designs
Additional Practice Investigation 1 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. 1 Additional Practice (continued) Investigation 1 2. Use the diagram of
Math 9: Chapter Review Assignment
Class: Date: Math 9: Chapter 7.5-7.7 Review Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which shapes have at least 2 lines of symmetry?
Name Hr. Honors Geometry Lesson 9-1: Translate Figures and Use Vectors
Name Hr Honors Geometry Lesson 9-1: Translate Figures and Use Vectors Learning Target: By the end of today s lesson we will be able to successfully use a vector to translate a figure. Isometry: An isometry
Believethatyoucandoitandyouar. ngascannotdoonlynotyetbelieve. Mathematics. thatyoucandoitandyouarehalfw. Stage 3
Believethatyoucandoitandyouar ehalfwaytherethereisnosuchthi ngascannotdoonlynotyetbelieve Mathematics thatyoucandoitandyouarehalfw Stage 3 aytherethereisnosuchthingasca Shape & Space nnotdoonlynotyetbelievethatyo
9 Transformations CHAPTER. Chapter Outline.
Chapter 9 www.ck12.org CHAPTER 9 Transformations Chapter Outline 9.1 EXPLORING SYMMETRY 9.2 TRANSLATIONS AND VECTORS 9.3 REFLECTIONS 9.4 ROTATIONS 9.5 COMPOSITION OF TRANSFORMATIONS 9.6 DILATIONS 9.7 TESSELLATIONS
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
CCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations
Geometry: Semester 1 Midterm
Class: Date: Geometry: Semester 1 Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The first two steps for constructing MNO that is congruent to
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Revised TEKS (2012): Building to Geometry Coordinate and Transformational Geometry A Vertical Look at Key Concepts and Procedures Derive and use
Geometry SOL Review Packet QUARTER 3
Geometry SOL Review Packet QUARTER 3 Arc Length LT 10 Circle Properties Important Concepts to Know Sector Area It is a fraction of. It is a fraction of. Formula: Formula: Central Angle Inscribed Angle
Name Date Class. 6. In JKLM, what is the value of m K? A 15 B 57 A RS QT C QR ST
Name Date Class CHAPTER 6 Chapter Review #1 Form B Circle the best answer. 1. Which best describes the figure? 6. In JKLM, what is the value of m K? A regular convex heptagon B irregular convex heptagon
G.CO.A.2: Identifying Transformations 2
G.CO.A.2: Identifying Transformations 2 1 In the accompanying diagram, ABC is similar to but not congruent to A B C. 3 In the diagram below, A' B' is the image of AB under which single transformation?
Geometry Quarter 4 Test Study Guide
Geometry Quarter 4 Test 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,
Similarity and Congruence EOC Assessment (35%)
1. What term is used to describe two rays or two line segments that share a common endpoint? a. Perpendicular Lines b. Angle c. Parallel lines d. Intersection 2. What is a term used to describe two lines
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
Select 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
Name: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet
Name: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet Complete the entire review sheet (on here, or separate paper as indicated) h in on test day for 5 bonus points! Part 1 The Quadrilateral
7-2 Similarity and Transformations
7-2 Similarity and Transformations Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up Find the image point when the indicated transformation is applied to the given pre-image
Junior Year: Geometry/Trigonometry
Junior Year: Geometry/Trigonometry Textbooks: Larson Geometry, Common Core Edition Houghton Mifflin Harcourt Publishing Company. ISBN:978-0-547-64708-1 Course Description: The purpose of this course is
Geometry. Instructional Activities:
GEOMETRY Instructional Activities: Geometry Assessment: A. Direct Instruction A. Quizzes B. Cooperative Learning B. Skill Reviews C. Technology Integration C. Test Prep Questions D. Study Guides D. Chapter
Vocabulary: Hubcaps, Kaleidoscopes and Mirrors
Vocabulary: Hubcaps, Kaleidoscopes and Mirrors Concept Two related ideas: Symmetry and Transformation. Symmetry is a property of some designs or shapes. A design either has symmetry or does not. For 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
Lesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3
Unit 2 Practice Problems Lesson 1 Problem 1 Rectangle measures 12 cm by 3 cm. Rectangle is a scaled copy of Rectangle. Select all of the measurement pairs that could be the dimensions of Rectangle. 1.
Composition Transformation
Name: Date: 1. Describe the sequence of transformations that results in the transformation of Figure A to Figure A. 2. Describe the sequence of transformations that results in the transformation of Figure
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
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
Name: Date: Period: Score: Linear Algebra Chapters 7, 8, & 9 Study Guide
1. Triangle ABC is shown on the coordinate grid. 3. Use the parallelogram shown in the coordinate plane to answer each question. Translate 3 units horizontally. Label the image. How are the values in the
NAEP Released Items Aligned to the Iowa Core: Geometry
NAEP Released Items Aligned to the Iowa Core: Geometry Congruence G-CO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and
Chapter 1-3 Parallel Lines, Vocab, and Linear Equations Review
Geometry H Final Exam Review Chapter 1-3 Parallel Lines, Vocab, and Linear Equations Review 1. Use the figure at the right to answer the following questions. a. How many planes are there in the figure?
Name: Geometry Practice Test Unit 2 Transformations in the Plane. Date: Pd:
Geometry Practice Test Unit 2 Transformations in the Plane (G.CO.A.2 - G.CO.A.5) Name: Date: Pd: 1) What type of symmetry is shown in this picture? (multiple choices-select all that apply) A) Point symmetry
Name Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
SKILL 43 Angle Relationships Example 1 Adjacent angles are pairs of angles that share a common vertex and a common side. Vertical angles are opposite angles formed by the intersection of two lines. Vertical
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
Polygon Interior Angles
Polygons can be named by the number of sides. A regular polygon has All other polygons are irregular. A concave polygon has All other polygons are convex, with all vertices facing outwards. Name each polygon
Geometric Constructions
Materials: Compass, Straight Edge, Protractor Construction 1 Construct the perpendicular bisector of a line segment; Or construct the midpoint of a line segment. Construction 2 Given a point on a line,
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
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH Warm-Up: See Solved Homework questions. 2.2 Cartesian coordinate system
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH6 2.1 Warm-Up: See Solved Homework questions 2.2 Cartesian coordinate system Coordinate axes: Two perpendicular lines that intersect at the origin O on each line.
Unit 1 Transformations in the Coordinate Plane
Unit 1 Transformations in the Coordinate Plane Table of Contents Title Page # Formula Sheet...2 Lesson 1 1: Introduction to Transformations and Rotations 3 Lesson 1 2: Reflections and Translations..9 Lesson
Polygons, Congruence, Similarity Long-Term Memory Review Grade 8 Review 1
Review 1 1. In the diagram below, XYZ is congruent to CDE XYZ CDE. Y D E X Z C Complete the following statements: a) C b) XZ c) CDE d) YZ e) Z f) DC 2. In the diagram below, ABC is similar to DEF ABC DEF.
Name: Period: Unit 1. Modeling with Geometry: Transformations
Name: Period: Unit 1 Modeling with Geometry: Transformations 1 2017/2018 2 2017/2018 Unit Skills I know that... Transformations in general: A transformation is a change in the position, size, or shape
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
Geometry Semester 1 Model Problems (California Essential Standards) Short Answer
Geometry Semester 1 Model Problems (California Essential Standards) Short Answer GE 1.0 1. List the undefined terms in Geometry. 2. Match each of the terms with the corresponding example a. A theorem.
m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?
1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that
Common Core Specifications for Geometry
1 Common Core Specifications for Geometry Examples of how to read the red references: Congruence (G-Co) 2-03 indicates this spec is implemented in Unit 3, Lesson 2. IDT_C indicates that this spec is implemented
DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
Course Guide (/8/teachers/teacher_course_guide.html) Print (/8/teachers/print_materials.html) LMS (/8
(http://openupresources.org)menu Close OUR Curriculum (http://openupresources.org) Professional Development (http://openupresources.org/illustrative-mathematics-professional-development) Implementation
Name of Lecturer: Mr. J.Agius. Lesson 46. Chapter 9: Angles and Shapes
Lesson 46 Chapter 9: Angles and Shapes Quadrilaterals A quadrilateral is any four-sided shape. Any quadrilateral can be split up into two triangles by drawing in a diagonal, like this: The sum of the four
Transformations with Matrices Moved by Matrices
Transformations with Matrices SUGGESTED LEARNING STRATEGIES: Interactive Word Wall, Marking the Text, Summarize/Paraphrase/Retell, Think/Pair/Share, Create Representations ACTIVITY 5.7 Instead of using
Study Guide - Chapter 6
8 th Grade Name Date Period Study Guide - Chapter 6 1) Label each quadrant with I, II, III, or IV. 2) Use your knowledge of rotations to name the quadrant that each point below will land in after the rotation
Construction Instructions. Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment.
Construction Instructions Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment. 1.) Begin with line segment XY. 2.) Place the compass at point X. Adjust
Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size
Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size 2) Under a certain transformation, A B C is the image of ABC.