Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the AA similarity criterion for triangles?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

Side-Angle-Side: If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, the triangles are similar.

Front

What is the SSS similarity criterion for triangles?

Back

Side-Side-Side: If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the relationship between the angles of similar polygons?

Back

All corresponding angles in similar polygons are congruent.

Front

How do you find the missing side of similar triangles using proportions?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing side.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of a similar triangle if the shortest side is 6 cm?

Back

The sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

Front

What is the scale factor in similar polygons?

Back

The ratio of the lengths of corresponding sides of two similar polygons.

Front

If two similar triangles have a scale factor of 2:3, what is the ratio of their areas?

Back

The ratio of their areas is (2^2):(3^2) = 4:9.

Front

True or False: The sides of similar polygons are always equal in length.

Back

False. The sides are proportional, not necessarily equal.