Congruent & Similar Triangles Review

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their sides are in proportion.

Front

What does AA~ stand for in triangle similarity?

Back

Angle-Angle similarity postulate; 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

Side-Angle-Side similarity postulate; 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

What does SSS~ stand for in triangle similarity?

Back

Side-Side-Side similarity postulate; if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the ASA congruence postulate?

Back

Angle-Side-Angle; if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the SAS congruence postulate?

Back

Side-Angle-Side; if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the SSS congruence postulate?

Back

Side-Side-Side; if all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity postulates (AA~, SAS~, SSS~) apply, the triangles are not similar.

Front

If m∠C = 60°, what can you conclude about the triangle?

Back

If another angle in the triangle is also 60°, the triangle may be isosceles.