Triangle Congruence vs Similarity

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the definition of similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for corresponding sides to be proportional?

Back

The lengths of corresponding sides of similar triangles have a constant ratio.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are congruent?

Back

By using congruence criteria such as SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but can differ in size.

Tags

CCSS.8.G.A.2

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 6 cm, what is the length of the corresponding side in triangle B if the ratio of similarity is 2:1?

Back

The length of the corresponding side in triangle B is 12 cm.