Math 8: Unit 2 Test Transformations
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1 Name: Class: Date: ID: A Math 8: Unit 2 Test Transformations Match the vocabulary words down below with the correct definition. a. Translation f. Line of Symmetry b. Reflection g. Center of Rotation. c. Rotation h. Similar shape d. Dilation i. Congruent Shape e. Isometry. A fixed point in which a shape is turned around. 2. A transformation that enlarges or reduces a shape. 3. A transformation that slides a shape on the coordinate plane 4. Shapes that have equal angle measures and equal side lengths. Rotations, Reflections, and Translations produce these kind of shapes. 5. A transformation that holds the shape. 6. A transformation that flips a shape over a line. 7. The line a shape is flipped acrossed during a reflection. 8. Shapes that have congruent angles but not congruent side lengths. A dilation produces this type of shape. 9. A transformation that turns a shape about a fixed point. Coordinate Plane 0. Name the coordinates of point A in the graph. a. ( 3, 2) b. ( 3, 2) c. (3, 2) d. ( 2, 3)
2 Name: ID: A. Which point is at coordinate point (-3,3) a. K b. N c. D d. S 2. In which quadrant is the point (x, y) located if x is positive and y is negative? a. III b. IV c. II d. I Translations 3. A translation is NOT an isometry. a. True b. False 4. Translate P(3, 6) left 4 units and down 6 units. Give the coordinate of the image point. a. (, 2) b. ( 2, ) c. (0, 7) d. (7, 0) 5. Rectangle ABCD has vertices A(3, 2), B(3, 3), C(5, 3), and D(5, 2). Graph ABCD and its translation 5 units to the left and 2 units down. Answer on Short Answer Sheet not Bubble Sheet. 6. Use arrow notation to write a rule that describes the translation shown on the graph. a. (x, y) (x 4, y + 3) c. (x, y) (x + 4, y + 3) b. (x, y) (x 4, y 3) d. (x, y) (x + 4, y 3) 2
3 Name: ID: A 7. ΔPQR has vertices P(6, 6), Q(0, 0), and R( 2, 2). The triangle is translated left 2 units and down unit. Without graphing, find the coordinates of Pʹ, Qʹ, and Rʹ. a. Pʹ (4, 7), Qʹ ( 2, ), Rʹ ( 4, 3) c. Pʹ (4, 5), Qʹ ( 2, ), Rʹ ( 4, ) b. Pʹ (8, 5), Qʹ (2, ), Rʹ (0, ) d. Pʹ (8, 7), Qʹ (2, ), Rʹ (0, 3) Reflections 8. A reflection is an isometry. a. True b. False 9. What is the rule for reflecting a shape over the x-axis. a. (x,y) ( x, y) b. (x,y) (y,x) c. (x,y) ( x,y) d. (x,y) (x, y) 20. Point A(9, 4) is reflected over the y-axis. Write the coordinates of Aʹ. a. ( 9, 4) b. (9, 4) c. (9, 4) d. ( 9, 4) 2. ΔABChas vertices A(, 2), B( 4, 4), and C( 3, 5). Graph ΔABC and its image after a reflection over the x-axis. Name the coordinates of the vertices of the reflected triangle.answer on Short Answer Sheet not Bubble Sheet. 22. ΔABChas vertices A( 2, 3), B( 4, 6), and C( 5, 2). Graph ΔABC and its image after a reflection over the y = 2 line. Name the coordinates of the vertices of the reflected triangle. Answer on Short Answer Sheet not Bubble Sheet. Rotations 23. A rotation is an isometry. a. True b. False 24. Out of the degrees listed below which will produce the exact same image rotated both clockwise and counterclockwise? a. 90 b. 80 c. 270 d. All of the above 25. Draw the image of ΔDFH after a rotation of 90º CW about the origin.answer on Short Answer Sheet not Bubble Sheet. 3
4 Name: ID: A 26. Draw the image of figure PQRS after a rotation of 270 CCW about the origin.answer on Short Answer Sheet not Bubble Sheet. Dilations 27. A dilation is NOT an Isometry. a. True b. False 28. The width of a picture is 6 cm. Using a color copier, you reduce the width of the picture to 3 cm. What is the scale factor of the dilation? a. 2 b. c. 3 d Find the image of ΔABC after a dilation with the given center and scale factor. center A, scale factor 2 a. c. b. d. 4
5 Name: ID: A 30. The Bold figure is a dilation of the original figure. Find the scale factor. Classify the dilation as an enlargement or a reduction. a. 2, enlargement b. 3, reduction c., reduction d. 3, enlargement 2 3. Graph the coordinates of quadrilateral VWXY. Find the coordinates of its image after a dilation with the given scale factor. Graph the image. Answer on Short Answer Sheet not Bubble Sheet. V(4, 2), W( 4, 2), X( 6, 6), Y(4, 4), scale factor of 2 Multiple Transformations 32. Translate the following figure by the rule (x,y) (x + 2,y ) and then reflect it over the x-axis. Answer on Short Answer Sheet not Bubble Sheet. 33. Rotate the figure down below counterclockwise 90 and then dilate the figure by a scale factor of 2. Answer on Short Answer Sheet not Bubble Sheet. 5
6 ID: A Math 8: Unit 2 Test Transformations Answer Section. G 2. D 3. A 4. I 5. E 6. B 7. F 8. H 9. C 0. C. C 2. B 3. B 4. A A 7. C 8. A 9. D 20. A
7 ID: A 2. Aʹ (, 2), Bʹ ( 4, 4), C ʹ ( 3, 5) 22. Aʹ ( 2, 3), Bʹ ( 4, 6), C ʹ ( 5, 2) 23. A 24. B 2
8 ID: A A 28. B 29. B 30. B 3
9 ID: A j 33. o V ʹ (2, 4), W ʹ ( 4, 8), X ʹ ( 6, 4), Y ʹ (6, 0) 4
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