FLASHCARD #1: Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states 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 SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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 congruence statement for ΔDEC ≅ ?

Back

ΔDEC ≅ ΔBEA.

Tags

CCSS.HSG.CO.B.7

Front

What additional information is required for the 2 triangles to be congruent by AAS?

Back

The length of the non-included side (C) is required.

Tags

CCSS.HSG.SRT.B.5

Front

Which postulate is appropriate to use in proving triangles are congruent if two sides and the included angle are known?

Back

The SAS postulate is appropriate.

Tags

CCSS.HSG.SRT.B.5

Front

Which triangle congruence theorem can be used to prove the triangles are congruent if all three sides are known?

Back

The SSS theorem can be used.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles are not necessarily congruent unless a side is also known.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5