Topic 7 Similarity Review

Front

What is the scale factor in similarity?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

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

Back

The lengths of the sides would be 6, 8, and 10.

Front

What does the similarity statement ΔXYZ~ΔNEW indicate?

Back

It indicates that triangle XYZ is similar to triangle NEW, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a dilation in geometry?

Back

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

Front

True or False: A dilation produces a congruent figure.

Back

False.

Front

How do dilations affect the angles of a polygon?

Back

Dilations do not change the angles.

Front

What is the relationship between the areas of two similar figures with a scale factor of k?

Back

The ratio of their areas is k².

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are proportional.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

Scale factor = Length of a side in one triangle / Length of the corresponding side in the other triangle.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 and side DE is 8, what is the scale factor?

Back

The scale factor is 2.