Unit 1 Similar Figures and Dilations Review

Front

What is a dilation in geometry?

Back

A transformation that enlarges or reduces a figure.

Front

State the coordinates of the image of point B after a dilation with a scale factor of 2 centered at point A if point A is at (0,0) and point B is at (-2,3).

Back

(-4,6)

Front

If triangle PQR is similar to triangle XYZ, what can we say about their corresponding sides?

Back

The lengths of corresponding sides are proportional.

Front

What is the scale factor if the point (8, 12) is dilated to become point (2, 3)?

Back

¼

Front

If the length of line segment XY is 9 in. and the scale factor is 1.5, what is the length of the corresponding segment in the similar triangle?

Back

13.5 in.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size.

Front

How do you find the missing side of similar triangles?

Back

Use the proportion of corresponding sides.

Front

What is the relationship between the angles of similar figures?

Back

All corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 5 cm, what is the length of side DE if the scale factor is 2?

Back

10 cm.

Front

What is the formula for finding the scale factor in a dilation?

Back

Scale Factor = Length of Image / Length of Original.