similar triangles test review

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, characterized by a scale factor.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

How do you solve a proportion?

Back

Cross-multiply the terms and set the products equal to each other.

Front

If a triangle has sides of lengths 4, 6, and 8, what is the scale factor if it is dilated to have a side of length 12?

Back

The scale factor is 3.

Front

What is the scale factor in a dilation?

Back

The ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If two triangles are similar and one has a side length of 10, what is the corresponding side length in the other triangle if the scale factor is 2?

Back

The corresponding side length is 20.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.