1) Parallelogram ABCD was translated to parallelogram A'B'C'D'. How many units and in which direction were the x-coordinates of parallelogram ABCD moved? a) 3 units to the right b) 3 units to the left c) 7 units to the right d) 7 units to the left. 2) Alyssa made the design shown below. Which transformation could be used to show that figure A is congruent to figure B? a) add 5 units to each x-coordinate. b) multiply each y-coordinate by -1. c) multiply each x-coordinate by -1. d) rotate the figure 90 degrees about the origin. 3) Figure EFGH in the coordinate plane has vertices at (-5, 2), (-5, -2), (-1, -2), and (-1, 2). If the figure is translated 5 units to the right and 2 units up, what are the coordinates of figure E'F'G'H'? a) (0, 4), (0, 0), (4, 0), (4, 4) b) (-3, 7), (-3, 3), (1, 3), (1, 7) c) (-10, 0), (-10, 4), (-6, -4), (-6, 0) d) (-7, -3), (-7, -7), (-3, -7), (-3, -3) 4) Which of the following transformations always preserves the dimensions of a figure? a) Translation, rotation, and reflection b) Translation, reflection, and dilation c) Translation and rotation only d) Translation and refection only e) Reflection and rotation only 5) What are the resulting coordinates of X when triangle WXY is translated 2 units down and 5 units right? a) (1, 3) b) (3, 1) c) (4, 6) d) (6, 4) 6) If a polygon is translated, which of the following characteristics of the polygon are the same? a) Side lengths, angles, the coordinates of the vertices. b) Side lengths only c) Angles only d) Side lengths and angles 7) If trapezoid KLMN is reflected across the x-axis to form trapezoid K'L'M'N', what are the apparent coordinates of M'? a) (-4, 5) b) (-4, -5) c) (4, -5) d) (4, 5) 8) Triangle XYZ is translated 3 units to the right and 2 units down. What will be the apparent coordinates of X? a) (0, 8) b) (3, 5) c) (5, 3) d) (8, 0) 9) Triangle PQR is shown. What are the coordinates of P' when triangle PQR is dilated by a scale factor of 3 using the origin as the center? a) (6, 18) b) (3, ⅔) c) (⅔, 3) d) (18, 6) 10) Study triangle RST on the grid below. When triangle RST is translated 4 units down, what are the apparent coordinates of T'? a) (-8, -1) b) (-4, -1) c) (-1, -8) d) (0, -4) 11) A polygon has been rotated about the origin. Which statement must be true? a) The lengths of the sides are doubled. b) The area of the polygon did not change. c) The coordinates of the vertices did not change. d) The area of the polygon is 4 times its original area. 12) If triangle ABC is translated 1 unit down and 3 units to the left to create triangle DEF, which rule best describes this transformation? a) (x, y) → (x - 3, y - 1) b) (x, y) → (x - 1, y - 3) c) (x, y) → (x + 3, y - 1) d) (x, y) → (x - 3, y + 1) 13) If triangle ABC is rotated 180 degrees counterclockwise about the origin, what are the coordinates of A'? a) (-5, -4) b) (-5, 4) c) (-4, 5) d) (-4, -5) 14) Trapezoid ABCD below is to be translated to trapezoid A'B'C'D' by the following motion rule (x, y) → (x + 3, y - 4). What will be the coordinates of vertex C'? a) (1, -3) b) (2, 1) c) (6, 1) d) (8, -3) 15) Which expression describes the translation of a point from (-3, 4) to (4, -1)? a) 7 units left and 5 units up b) 7 units right and 5 units up c) 7 units left and 5 units down d) 7 units right and 5 units down 16) Rotate 90° counterclockwise about the origin. a) M '(–2, 3), N'(–5, 5), P'(–5, 4), Q'(–2, 2) b) M '(–2, –3), N'(–5, –5), P'(–5, –4), Q'(–2, –2) c) M '(3, 2), N'(5, 5), P'(4, 5), Q'(2, 2) d) M '(2, 3), N'(5, 5), P'(5, 4), Q'(2, 2) 17) Rotate 90° clockwise about the origin. a) J'(–3, –4), K'(–6, –4), L'(–4, –3), M '(–1, –3) b) J'(–4, –3), K'(–4, –6), L'(–3, –4), M '(–3, –1) c) J'(–4, 3), K'(–4, 6), L'(–3, 4), M '(–3, 1) d) J'(4, –3), K'(4, –6), L'(3, –4), M '(3, –1) 18) Rotate 180° clockwise about the origin. a) T'(–3, 4), V'(–5, 5), W'(–5, 2), X'(–3, 1) b) T'(3, 4), V'(5, 5), W'(5, 2), X '(3, 1) c) T'(4, –3), V'(5, –5), W'(2, –5), X'(1, –3) d) T'(–3, –4), V'(–5, –5), W'(–5, –2), X '(–3, –1) 19) A transformation that turns or spins a figure is best know as __________. a) Rotation b) Reflection c) Dilation d) Translation 20) A rotation may be __________ or __________. a) Clockwise or counterclockwise b) Left or right c) Up or down d) Stretched or shrinked.

Transformations Review - Dilations, Translation, Reflections, Rotations

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