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Transformations (Grade 9)

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Dilation creates an image congruent to the original image.
  1. True
  2. False
A rigid transformation is a transformation in which the image is congruent to the preimage.
  1. True
  2. False
Use scalar multiplication to find the vertices of the image QRTW with vertices Q(-3,4); R(-2,-1); T(3,1); W(3,5) under a dilation with center (0,0) and a scale factor of 1/3.

Draw rectangle LMNO on the grid using the coordinates L(1, 1), M(4, 1), N(4, -3), O(1, -3). Slide rectangle LMNO down 3 units then reflect it across the y-axis. Draw the resultant rectangle L'M'N'O' on the grid. Label points L'M'N'O'.
Graph Numbered through 10

This image is rotated [math]90 deg[/math] clockwise about the origin, then reflected across the [math]x[/math]-axis, then translated 3 units right and 5 units up.
1x3 Q3 Horizontal
Which graph shows the new position of the image?
  1. 1x3 Q2 Horizontal
  2. 1x3 Q3 Vertical
  3. 1x3 Q1 Vertical
  4. 1x3 Q4 Horizontal
Draw triangle ABC with points A(-5, 8), B(-3, 2), C(-7,3) on the coordinate plane below. Use triangle ABC to solve the problems.
Graph Numbered through 10
Point A' has coordinates (-8, 8). What transformation of point A could produce this image?
  1. a half-turn rotation
  2. a translation to the left
  3. a reflection about the y-axis
  4. not enough information to determine
Which quadrant would triangle A'B'C' be located in if triangle ABC was reflected about the x-axis?
  1. I
  2. II
  3. III
  4. IV
Dilate triangle ABC using a scale factor of 1/2 with the center at the origin. What are the coordinates of point A?                         
Translate point C 8 units to the right then reflect it across line y = x. In which quadrant is the resultant image of point C located?
  1. I
  2. II
  3. III
  4. IV
Reflect point B across the x-axis. What are the coordinates of the image?                       
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