Similar Figures Practice 2024

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if all pairs of corresponding angles are congruent and the ratios of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

The angles A, B, and C are equal to angles D, E, and F respectively.

Front

What is the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is constant and equal for all pairs of sides.

Front

If the sides of two similar triangles are in the ratio 2:3, what can be said about their areas?

Back

The areas of the triangles are in the ratio of the squares of the sides' ratio, which is 4:9.

Front

What is the measure of angle F if angle A is 36° in similar triangles?

Back

Angle F is also 36° because corresponding angles in similar triangles are equal.

Front

If triangle ABC has sides of lengths 4, 6, and 8, what are the lengths of the corresponding sides in triangle DEF if they are similar?

Back

If triangle DEF is similar to triangle ABC, the lengths of the corresponding sides can be found using a scale factor.

Front

What is a scale factor in similar figures?

Back

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