Dilations & Similar Figures Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a center point and a scale factor.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the scale factor in a dilation?

Back

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

Front

How can you determine if triangles are similar using the AA criterion?

Back

Triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for 'Side-Side-Side Similarity', which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

If two triangles have sides in the ratio 3:5, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar by SSS~.

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

How do you find a missing side length in similar figures?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.