Triangle Congruence Statements

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Tags

CCSS.8.G.A.2

Front

List the criteria for triangle congruence. (SAS, SSS, ASA, AAS, HL)

Back

1. SSS (Side-Side-Side) 2. SAS (Side-Angle-Side) 3. ASA (Angle-Side-Angle) 4. AAS (Angle-Angle-Side) 5. HL (Hypotenuse-Leg for right triangles)

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding parts?

Back

The corresponding sides and angles of the triangles are equal: AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) congruence criterion?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean if two triangles are similar but not congruent?

Back

They have the same shape but not necessarily the same size; their corresponding angles are equal, but their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you prove that two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle-Side (AAS) congruence criterion?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5