Test, Form 1A. 1. Find the coordinates of J'. A. ( 2, 4) B. ( 2, 4) C. ( 4, 2) D. ( 4, 2)

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1 Chapter Test, Form 1A Write the letter for the correct answer in the blank at the right of each question. For Eercises 1 4, parallelogram JKLM has vertices as shown. Parallelogram JKLM is translated 2 units left and 4 units down. Find the coordinates of J'. A. ( 2, 4) B. ( 2, 4) C. ( 4, 2) D. ( 4, 2) Find the coordinates of K'. F. ( 1, 4) G. (1, 4) H. (4, 1) I. ( 4, 1) Find the coordinates of L'. A. ( 2, 2) B. ( 2, 2) C. (2, 2) D. (2, 2) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find the coordinates of M'. F. (1, 2) G. (1, 2) H. ( 1, 2) I. ( 1, 2) How man lines of smmetr does the figure have? A. 0 B. 1 C. 2 D The ordered pair P(5, 3) is reflected over the -ais. Find the ordered pair for the image P'. F. (-5, 3) G. (5, 3) H. (5, 3) I. ( 5, 3) 7. The ordered pair R(-3, 4) is reflected over the -ais. Find the ordered pair for the image R'. A. (3, 4) B. (-3, -4) C. (4, -3) D. (4, 3) Chapter 47 Course 2

2 Chapter Vocabular Test angle of rotation center dilation enlargement line of smmetr line smmetr reduction reflection rotation rotational smmetr transformation translation Choose the correct term or phrase to complete each sentence. The (rotational smmetr, angle of rotation) is the degree measure of the angle through which the figure is rotated. A dilation with a scale factor greater than one is called a(n) (enlargement, reduction). A (dilation, reflection) is the image produced when a figure is enlarged or reduced. When a figure is moved without turning it, it is called a (rotation, translation). When a mirror image is produced b flipping a figure over a line, it is a (reflection, rotation). 6. The (line of smmetr, center) of the dilation is a fied point used for measurement when altering the size of the figure. Define each term in our own words. 7. transformation 8. reduction Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8. Chapter 46 Course 2

3 Chapter Quiz 3 (Lesson -3) For Eercises 1 3, find the coordinates of the image of (2, 1), (3, 2), and (4, 4) under each transformation. a rotation of 90 clockwise about the origin a rotation of 180 counterclockwise about the origin a rotation of 270 clockwise about the origin For Eercises 4 5, determine whether each figure has rotational smmetr. If es, name the angle(s) of rotation. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter Quiz 4 (Lesson -4) For Eercises 1 2, segment M'N' is a dilation of segment MN. ' ' Find the scale factor of the dilation. Classif the dilation as an enlargement or a reduction. Point Y'( 2, 5) was translated 3 units left and 6 units up. Find the original coordinates of Y. Chapter 45 Course 2

4 Chapter Quiz 2 (Lesson -2) Use the following information for Eercises 1 A quadrilateral with vertices J(1, 1), K(4, 3), L(4, 6) and M(1, 6) as shown is reflected over the -ais. What are the coordinates for J'? What are the coordinates for K'? What are the coordinates for L'? What are the coordinates for M'? For Eercises 5 7, determine whether each figure has line smmetr. If so, cop the figure and draw all lines of smmetr Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7. Chapter 44 Course 2

5 Chapter Quiz 1 (Lesson -1) Use the following information for Eercises 1 A triangular wall decoration on Kelse s wall has vertices M(4, 1), N(3, 4), and R(1, 2) as shown. The triangle is translated 5 units left and 4 units up. Graph the decoration after this translation. What are the coordinates for M'? What are the coordinates for N'? What are the coordinates for R'? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Use the graph for Eercises 5 7. After T is translated 8 units up, find the coordinates of T'. 6. After Y is translated 3 units left, find the coordinates of Y'. 7. After Z is translated 1 unit down, and 4 units right, find the coordinates of Z' Chapter 43 Course 2

6 Write about one new thing ou learned in this chapter. Create a problem in which ou would use dilations. Solve the problem ou created. Show all our work. Identif one place where ou could use translations in the real world. Give an eample of how ou would use our translation. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 42 Course 2

7 -4 Problem-Solving Practice B Problem-Solving Investigation: Work Backward REFLECTION Clde reflected point L over the -ais to get L'(4, 5). Find the original coordinates of L. ROTATION The triangle was rotated 180 clockwise. Find the original coordinates of the triangle. SWIMMING POOL Egpt went swimming in a rectangular shaped pool as shown. How man meters long is the pool where Egpt swam? RIGHT TRIANGLE Samantha drew a right triangle with one of the acute angles being 25. What is the measure of the other acute angle? 4 meters Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Perimeter= 26 meters TRANSLATION The ordered pair (15, 8) was translated from 5 units up and 2 units left. Find the original coordinates of the ordered pair. 6. MONEY Julianne has $4 more than Rosalind but $50 less than Genn. Genn has twice as much mone as Sall. Sall has $ How much mone does Genn, Rosalind, and Julianne have? Chapter 41 Course 2

8 -4 Homework Practice B Problem-Solving Investigation: Work Backward Use the work backward strateg to solve Eercises 1 RECTANGLE The rectangle D'E'F'G' was reflected over the -ais. Find the original coordinates of the rectangle. Use an strateg to solve Eercises 4 7. A triangle with vertices A'( 2, 4), B'(3, 1), C'(-1, 2) was translated 3 units right and 2 units up. What are the coordinates of the original triangle? Anton has pennies, nickels, and quarters in his pocket. He has $0.3 How man of each coin does he have? REFLECTION If the rectangle in Eercise 1 were reflected over the -ais, would the ordered pairs for D' and E' and the ordered pairs for F' and G' just switch locations? DILATION The coordinates of the image of triangle JKL are J'(4, 6), K'(4, 2), and L'(2, 2) after a dilation with a scale factor of Graph and find the coordinates of triangle JKL before the dilation Describe the translation that will move X(-3, 4) to (2, 5). Then use this translation to find the image of Y(1, 6). 7. Mr. Simpson s breakfast bill is $108. He hands a ten-dollar bill and a five-dollar bill to the waitress. From the change, he leaves 3 one-dollar bills and 3 quarters on the table for a tip. How much cash does Mr. Simpson take with him? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Get Connected For more eamples, go to glencoe.com. Chapter 40 Course 2

9 -4 Skills Practice B Problem-Solving Investigation: Work Backward Use the work backward strateg to solve Eercises 1 SCHOOL Joellen starts walking from her home, which is located at the ordered pair (2, 3) on a coordinate plane. She walks 3 blocks east and is now 2 blocks north of the school. Where is the school located on the coordinate plane? TRIANGLE The tip of an isosceles triangle is facing north after a 90 counterclockwise rotation. What direction was the tip of the triangle facing before it was rotated? WALKING After August walked 6 blocks north and 2 blocks west, he was at the librar, which is located at (1, 7) on a coordinate plane. What is August s original location? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. GEOMETRY The rectangle below was rotated 90 counterclockwise. Draw the original rectangle. ' ' GEOMETRY Using the rectangle in Eercise 4, how man degrees would it be rotated if the verte A is at the bottom right corner of the rectangle? ' ' Chapter 39 Course 2

10 -4 Reteach B Problem-Solving Investigation: Work Backward B working backward from where ou began, ou can solve problems. Sta organized when working backward. Alwas understand what the problem is asking, then make a plan, solve the problem, and check our answer to make sure it is reasonable. Understand Plan Eample The rectangle shown was reflected over the -ais. Find the original coordinates of the rectangle. You know the reflection involved. Start at the image and work backward. Solve A(1, -1), B(3, -1), C(3, -4), and D(1, -4) Check Start with ABCD and reflect each point over the -ais. This results in A'B'C'D'. So the original figure is correct. Eercises Solve each problem using the work backward strateg. The triangle shown was reflected over the -ais. Find the original coordinates of the triangle. Find the original coordinates of the triangle if it were reflected over the -ais. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 38 Course 2