Similar Triangles

Front

What is the SAS postulate in relation to similar triangles?

Back

The SAS (Side-Angle-Side) postulate states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS postulate in relation to similar triangles?

Back

The SSS (Side-Side-Side) postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles.

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of its sides?

Back

The ratio of the sides is 3:4:5.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the relationship between the heights of two similar triangles?

Back

The heights of two similar triangles are proportional to the lengths of their corresponding bases.

Front

A 10 ft tall tree casts a shadow of 5 ft. If a person casts a shadow of 2.5 ft, how tall is the person?

Back

The person is 5 ft tall.

Front

What is the formula for finding the area of similar triangles?

Back

The area of similar triangles is proportional to the square of the ratio of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.