Triangle Congruence vs Similarity

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What are the criteria for Triangle Congruence?

Back

The main criteria for triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

What is Triangle Similarity?

Back

Triangle Similarity occurs when two triangles have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What are the criteria for Triangle Similarity?

Back

The main criteria for triangle similarity are AA (Angle-Angle), SSS (Side-Side-Side similarity), and SAS (Side-Angle-Side similarity).

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two triangles are congruent, all corresponding angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

If two triangles are similar, the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does the notation ∆ABC ≅ ∆DEF mean?

Back

The notation ∆ABC ≅ ∆DEF means that triangle ABC is congruent to triangle DEF.

Tags

CCSS.8.G.A.2

Front

What does the notation ∆ABC ~ ∆DEF mean?

Back

The notation ∆ABC ~ ∆DEF means that triangle ABC is similar to triangle DEF.

Tags

CCSS.HSG.SRT.A.2

Front

In triangle congruence, what does SSS stand for?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

In triangle similarity, what does AA stand for?

Back

AA stands for Angle-Angle, which is a criterion for triangle similarity stating that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5