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Transformations (Grade 9)

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Transformations

1. 
Dilation creates an image congruent to the original image.
  1. True
  2. False
2. 
A rigid transformation is a transformation in which the image is congruent to the preimage.
  1. True
  2. False
3. 
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.






4. 
Draw rectangle LMNO on the grid below 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



5. 
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
  1. 1x3 Q2 Horizontal
  2. 1x3 Q3 Vertical
  3. 1x3 Q1 Vertical
  4. 1x3 Q4 Horizontal
6. 
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
A. 
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
B. 
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
C. 
Dilate triangle ABC using a scale factor of 1/2 with the center at the origin. What are the coordinates of point A?                         
D. 
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
E. 
Reflect point B across the x-axis. What are the coordinates of the image?                       
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