Triangle Congruence Statements

Front

What is a triangle congruence statement?

Back

A triangle congruence statement asserts that two triangles are congruent, meaning they have the same size and shape, which can be proven using specific criteria such as SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

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

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', which is a criterion for triangle congruence stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', which is a criterion for triangle congruence stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', which is a criterion for triangle congruence stating that 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', which is a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∠U ≅ ∠F, what can be inferred about triangles that include these angles?

Back

If ∠U ≅ ∠F, it indicates that the triangles containing these angles may be congruent if other congruence criteria are satisfied.

Tags

CCSS.HSG.CO.B.7

Front

Which segments are congruent if EF ≅ GF?

Back

If EF ≅ GF, it means that the lengths of segments EF and GF are equal.

Tags

CCSS.8.G.A.2

Front

Complete the statement: If ∆DEF is congruent to ∆FDE, then...

Back

...the corresponding parts of the triangles are congruent, meaning ∠D ≅ ∠F, ∠E ≅ ∠D, and ∠F ≅ ∠E.

Tags

CCSS.HSG.CO.B.7

Front

If ∠E ≅ ∠A, what does this imply about triangles containing these angles?

Back

If ∠E ≅ ∠A, it implies that the triangles containing these angles may be congruent if other congruence criteria are satisfied.

Tags

CCSS.HSG.CO.B.7