# Transformations (Grade 9)

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## Transformations

1.

Dilation creates an image congruent to the original image.

- True
- False

2.

A rigid transformation is a transformation in which the image is congruent to the preimage.

- True
- 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 [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.

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?

- a half-turn rotation
- a translation to the left
- a reflection about the y-axis
- 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?

- I
- II
- III
- 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?

- I
- II
- III
- IV

E.

Reflect point B across the x-axis. What are the coordinates of the image?

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