Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal and their corresponding sides are proportional.

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

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

Back

The corresponding sides are proportional.

Front

If the sides of a triangle are in the ratio 3:4:10 and the shortest side is 9 in., what is the length of the longest side?

Back

The longest side is 30 inches.

Front

What is the perimeter of a triangle with sides in the ratio 3:4:10 and the shortest side measuring 9 in.?

Back

The perimeter is 51 inches.

Front

How can you determine if two triangles are not similar?

Back

If none of the AA, SSS, or SAS conditions are met, the triangles are not similar.

Front

What is the measure of x if two similar triangles have corresponding sides of 6 and 9?

Back

x = 9.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.