Slide, Flip, Turn: The Latest Dance Craze?
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1 Lesson.1 Assignment Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures 1. Transform rectangle JKLM so it sits in the shaded rectangle in Quadrant III. y M J L K x a. How many different transformations will it take to place rectangle JKLM in the shaded area in Quadrant III? b. Describe and perform a transformation to move rectangle JKLM to Quadrant II. Identify the coordinates of the vertices of the transformed rectangle, J9K9L9M9. Explain how you determined your answer. Chapter Assignments 177
2 Lesson.1 Assignment page 2 c. Describe and perform the transformation that can be used to move rectangle J9K9L9M9 to Quadrant III. Identify the coordinates of the vertices of the transformed rectangle, J0K0L0M0. Explain how you determined your answer. d. Could a different transformation(s) be used to move rectangle JKLM to Quadrant III? Explain your reasoning. 2. Consider figure QRST. y T S x Q R Ramona states that there are three ways to transform QRST to place its image in the shaded area in Quadrant II. Translate QRST vertically units up then horizontally 15 units to the left. Reflect QRST over the x-axis then over the y-axis. Rotate QRST 180 counterclockwise (or counterclockwise) about the origin. 178 Chapter Assignments
3 Lesson.1 Assignment page 3 Name Date a. Without graphing, determine the vertices of the image for each of the transformations Ramona listed. Explain how you determined your answers. b. Which transformation would you recommend that Ramona choose? Explain your reasoning. c. Perform the transformation you chose in part (d). Chapter Assignments 179
4 180 Chapter Assignments
5 Lesson.2 Assignment Name Date All the Same to You Congruent Triangles 1. Analyze triangle ABC. y B x 28 A C a. Describe a transformation that can be performed on n ABC that will result in a triangle being created in Quadrant I. b. Will the transformation you described preserve the size and shape of the triangle? Explain your reasoning. c. Perform the transformation and name the new triangle DEF. d. List the coordinates for the vertices of both triangles. e. Using the names of the vertices, write a triangle congruence statement for the triangles. Chapter Assignments 181
6 Lesson.2 Assignment page 2 f. Using your congruence statement, identify the congruent angles. g. Using your congruence statement, identify the congruent sides. 2. Analyze triangle MNO. y N x M O a. Describe a transformation that can be performed on n MNO that will result in a triangle being created in Quadrant III. b. Will the transformation you described preserve the size and shape of the triangle? c. Perform the transformation and name the new triangle PQR. 182 Chapter Assignments
7 Lesson.2 Assignment page 3 Name Date c. List the coordinates for the vertices of both triangles. d. Using the names of the vertices, write a triangle congruence statement for the triangles. e. Using your congruence statement, identify the congruent angles. f. Using your congruence statement, identify the congruent sides. Chapter Assignments 183
8 184 Chapter Assignments
9 Lesson.3 Assignment Name Date Side-Side-Side SSS Congruence Theorem 1. Analyze the triangles shown. K 8 y 6 L 4 J S x R 28 T a. Are the two triangles shown on the grid congruent? Show and explain how you determined your answer. Chapter Assignments 185
10 Lesson.3 Assignment page 2 b. Juan says the triangle congruency statement for these triangles should be njkl nrst. Natsu says the triangle congruency statement for these triangles should be njkl nstr. Who is correct? Explain your reasoning. 186 Chapter Assignments
11 Lesson.4 Assignment Name Date Side-Angle-Side SAS Congruence Theorem 1. Analyze the triangles shown. y O N K 22 M x J 28 L a. Use the distance formula and a protractor to prove that the two triangles shown on the grid are congruent by SAS. Show your work. Chapter Assignments 187
12 Lesson.4 Assignment page 2 b. Mark the triangles to show which sides and angles are congruent. c. Write a congruency statement for the triangles. 188 Chapter Assignments
13 Lesson.5 Assignment Name Date You Shouldn t Make Assumptions Angle-Side-Angle Congruence Theorem 1. Emerson wants to translate n ABC and then reflect it over the y-axis to form a new triangle in Quadrant II. She uses what she knows about transformations to determine the vertices of n A9B9C9 before performing the transformations. B9 8 y 6 C9 4 2 A B 6 8 x C 28 A a. Briefly describe how Emerson can use the ASA Congruence Theorem to determine whether or not she transformed n ABC such that the image is congruent to the pre-image. b. Connect points A9, B9, and C9. Determine the measure of two corresponding angles in each triangle. Note: While students only need to determine the measure of two angles, we have included all measures here for ease in checking student answers. Chapter Assignments 189
14 Lesson.5 Assignment page 2 c. Determine the length of the included side of n ABC and n A9B9C9. Show your work. Note: While students only need to determine the measure of the included side, we have included all measures here for ease in checking student answers. d. Did Emerson perform the transformations on n ABC so that the image is congruent to the pre-image? Explain your reasoning. 190 Chapter Assignments
15 Lesson.6 Assignment Name Date Ahhhhh... We re Sorry We Didn t Include You! Angle-Angle-Side Congruence Theorem 1. Describe and use AAS to prove that triangle LMN is congruent to triangle QRS. M 8 y 6 4 L 2 N R 6 8 x Q S Note: While students only need to determine the measure of two angles and their non-included side, we have included all measures here for ease in checking student answers. Chapter Assignments 191
16 Lesson.6 Assignment page 2 2. Triangles ABC and DFG are given. A D 39 B C F 90 G a. Side BC of n ABC is congruent to FG of ndfg. Mark the triangles to show that these sides are congruent. b. Do you have enough information to determine whether n ABD is congruent to ndfg? Explain your reasoning. c. Without using a protractor, calculate the measure of /BAC. Show your work. Write the measure on the triangle. d. Now, do you have enough information to determine that n ABC is congruent to ndfg? Write congruence statements to justify your reasoning. 192 Chapter Assignments
Slide, Flip, Turn: The Latest Dance Craze?
Lesson.1 Assignment Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures 1. Transform rectangle JKLM so it sits in the shaded rectangle in Quadrant
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hapter Summar Ke Terms transformation congruent line segments (71) () image congruent (71) angles () translation corresponding (71) sides () rotation corresponding (73) angles () SSS ongruence Theorem
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