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 in proportion.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are in proportion to two sides of another triangle, and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

If two triangles have a corresponding side ratio of 2:3, what can be said about their similarity?

Back

The triangles are similar because their corresponding sides are in proportion.

Front

How can you find a missing side in similar figures?

Back

To find a missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

If a triangle has sides of lengths 4, 6, and 8, and another triangle has a side of length 12, what is the length of the corresponding side?

Back

The corresponding side is 8, because the triangles are similar with a ratio of 1:3.

Front

Marvin's son is 3 ft tall and casts a shadow of 1 ft. If Marvin casts a shadow of 2.5 ft, how tall is Marvin?

Back

Marvin is 7.5 ft tall.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.