Dilations Activity

1. Dilate the [math]\Delta[/math]ABC by a scale factor of two using the origin as the center of dilation.

Use the graph below to answer questions 2-3

List the coordinates of A'B'C' in the format:[br][br]A'(x,y), B'(x,y), C'(x,y)

2. Which transformations transform polygon [u]ABCD[/u] to polygon [u]EFGD[/u]?

Dilation by a factor of 2. Dilation by a factor of [math]\frac{1}{2}[/math] Translation 4 units up Rotation 90 degrees clockwise

3. Which statement best describes polygon ABCD and polygon EFGD?

They are both similar and congruent. They are congruent. They are neither similar nor congruent. They are similar.

4. Dilate [math]\Delta[/math]ABC by a scale factor of [math]\frac{1}{2}[/math] using the origin as a center of dilation and then translate using (x+3, y-1).

List the coordinates of the final image using the format:[br][br]A'(x,y), B'(x,y), C'(x,y),

5. Dilate figure ABCD using point E as your center of dilation with a scale factor of 3.

Are images created by the above transformations congruent or similar? Justify your answer.

What are the new coordinate points? Use the format:[br][br]A'(x,y), B'(x,y), C'(x,y), D'(x,y)

Dilations Activity

Use the graph below to answer questions 2-3

5. Dilate figure ABCD using point E as your center of dilation with a scale factor of 3.

Are images created by the above transformations congruent or similar? Justify your answer.

Information: Dilations Activity