Similar Triangles and Proportions

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angle is equal.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Front

What is the criterion for determining if two triangles are similar?

Back

Two triangles are similar if they satisfy any of the following criteria: AA, SAS, or SSS.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

Solve for x if the triangles are similar and the sides are in the ratio 2:5. If one side is 4, what is the corresponding side?

Back

x = 10.

Front

In similar polygons, how are corresponding sides related?

Back

In similar polygons, corresponding sides are proportional.

Front

In similar polygons, how are corresponding angles related?

Back

In similar polygons, corresponding angles are congruent.

Front

Are the triangles with sides 3, 4, 5 and 6, 8, 10 similar?

Back

Yes, they are similar by SSS because the sides are in proportion (3:6 = 4:8 = 5:10).