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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 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'.

5.
This image is rotated $90 deg$ clockwise about the origin, then reflected across the $x$-axis, then translated 3 units right and 5 units up.

Which graph shows the new position of the image?
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.
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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