G. Congruent Triangles Postulates and Congruent Statements CFA

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate 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 postulate 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate 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

In congruent triangles, corresponding parts are always ______.

Back

equal.

Tags

CCSS.HSG.CO.B.7

Front

If ∆LMK ≅ ∆LMT, what can we conclude about the angles?

Back

If ∆LMK ≅ ∆LMT, then corresponding angles are equal, so ∠K ≅ ∠T, ∠M ≅ ∠M, and ∠L ≅ ∠L.

Tags

CCSS.HSG.CO.B.7

Front

Are the triangles congruent? If yes, how? (Given two angles and a non-included side)

Back

Yes, the triangles are congruent by AAS.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can be said about the triangles?

Back

The triangles are congruent by the AAS postulate.

Tags

CCSS.HSG.SRT.B.5