Similar Figures and Dilations REVIEW

Front

Similar figures have the same ______ but different ______.

Back

shape; sizes

Front

Solve for X if the two figures are SIMILAR: If the ratio of the sides is 3:4 and one side is 9, what is the corresponding side in the other figure?

Back

X = 12

Front

What is true about the angles of similar figures?

Back

Corresponding angles are congruent.

Front

Solve for X if the two figures are SIMILAR: If the ratio of the sides is 5:7 and one side is 35, what is the corresponding side in the other figure?

Back

X = 49

Front

Which triangles are similar to triangle A?

Back

Both B and C.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.

Front

If two figures are similar, what can be said about their perimeters?

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

6, 8, and 10.

Front

How do you determine if two triangles are similar?

Back

By checking if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.