Review for Final. Transformations. Day 2

Transcription

1 Review for Final Transformations Day 2 May 7 3:31 PM 1) If translation T maps point A(-3, 1) onto point A'(5,5), what is the translation T? 2) The transformation T -2,3 maps the point (7, 2) onto the point whose coordinates are? 3) The image of the origin under a certain translation is the point (2, -6). What are the coordinates of the image of point (-3, 2) under the same translation? May 16 2:55 PM 1

2 4) A translation moves A(2, 3) onto A'(4, 8). What are the coordinates of B', the image of B(4, 6) under the same translation? 5) The translation (x, y) (x -2, y + 3) maps the point (7, 2) on the point whose coordinates are? 6) What is the image of the point (-3, -1) under the translation that shifts (x, y) to (x - 2, y + 4)? May 16 2:58 PM 7) SKIP 8) If the transformation T x,y maps point A(1, -3) onto point A'(-4, 8), what is the value of x? 9) Which transformation moves (x, y) to (5x, 5y)? 10) If the distance from the origin to point A is and A' = D 3 (A), the distance from the origin to point A' is? May 16 3:00 PM 2

3 11) If dilation D k (-2, 4) equals (1, -2), the scale factor k is equal to? 12) Under a dilation with respect to the origin, the image of P(-15, 6) is P'(-5, 2). What is the scale of dilation? 13) If point R'(6, 3) is the image of point R(2, 1) under a dilation with respect to the origin, what is the constant of dilation? May 17 6:34 AM 14) In which quadrant would the image of point(5, -3) fall after a dilation using a factor of -3? 15) What are the coordinates of the point (2, -4) under the dilation of D -2? May 17 6:36 AM 3

4 16) What is the image of (-3, 6) when reflected in the x-axis? 17) The three vertices of ΔABC are in quadrant I. If ΔABC is reflected in the x-axis, its image will lie in what quadrant? 18) Reflecting (5, 1) in the y-axis yields an image of? 19) If a point in quadrant IV is reflected in the y-axis, its image will lie in what quadrant? May 17 6:38 AM 20) The point (-3, -2) is reflected in the origin. The coordinates of its image are? 21) The image of the point (4, -2) under a reflection in the origin is? 22) If the point (2, -5) is reflected in the line y = x, then the image is? 23) What are the coordinates of point P, the image of point (3, -4) after a reflection in the line y = x? May 17 6:40 AM 4

5 24) What is the image of (5, -2) under the transformation r y = x? 25) What are the coordinates of R', the image of R(-4, 3) after a reflection in the line whose equation is y = -x? May 17 6:45 AM 26) When point A(-2, 5) is reflected in the line x = 1, the image is? 27) Find the image of A(4, -3) under the transformation r x = 2? May 17 6:47 AM 5

6 28) What is the rule for rotating a point with coordinates (x, y) 90 degrees? 29) What is the rule for rotating a point with coordinates (x, y) 180 degrees? 30) What is the rule for rotating a point with coordinates (x, y) 270 degrees? May 17 6:49 AM 31) What is the image of A(3, 4) under R 90? 32) Find the image of point (6, -2) under R 90? 33) Point (-3, 4) is rotated 180 degrees. What are the coordinates of its image? May 17 6:51 AM 6

7 34) Which figure always has exactly one line of symmetry? A)isosceles right triangle B) trapezoid C) rectangle D) circle 35) Which shape has the greatest number of lines of symmetry? A) rectangle B) rhombus C) parallelogram D) square May 17 6:52 AM 36) Which kind of symmetry does the word TOOT have? A) vertical line symmetry, only B) horizontal line symmetry, only C) both vertical and horizontal line symmetry D) neither vertical and horizontal line symmetry 37) Which type of symmetry does the letter D have? A) line symmetry, only B) both point and line symmetry C) point symmetry, only D) neither point nor line symmetry May 17 6:55 AM 7

8 38) Which letter have vertical but not horizontal line symmetry? A) M B) B C) X D) S 39) Which letter has both vertical and horizontal line symmetry? A) H B) A C) Y D) T 40) Which combination of letters has both vertical and horizontal line symmetry? A) XOOX B) MOM C) ZOO D) NOON May 17 6:57 AM 41) (a) On graph paper, draw and label ΔABC whose vertices have coordinates A(2, 3), B(0, 6) and C(2, 6). (b) Graph and state the coordinates of ΔA'B'C', the image of ΔABC after a reflection in the y-axis. A'( ), B'( ), C'( ). (c) Graph and state the coordinates of ΔA''B''C'', the image of ΔA'B'C' after a reflection in the line y = x. A''( ), B''( ), C''( ). May 17 7:01 AM 8