Similar Figures

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 their corresponding sides are proportional.

Front

Are all corresponding sides in similar figures congruent?

Back

False, the corresponding sides are proportional.

Front

Are all angles in similar figures congruent?

Back

True, all corresponding angles in similar figures are congruent.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

What is the ratio of similarity?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of similarity?

Back

The ratio of similarity is 1:2.

Front

If two figures are similar, how do you find a missing side length?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the missing side.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size, meaning all corresponding sides and angles are equal.

Front

If two similar figures have a ratio of 3:5, what does this mean for their areas?

Back

The ratio of their areas will be the square of the ratio of their corresponding sides, which is 9:25.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.