Congruent Triangles & Corresponding Parts

Front

What are congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; 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

Side-Angle-Side; 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

Angle-Side-Angle; 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

Angle-Angle-Side; a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ΔPQR ≅ ΔLJK, what can we conclude about the corresponding angles?

Back

The corresponding angles are equal, meaning ∠P ≅ ∠L, ∠Q ≅ ∠J, and ∠R ≅ ∠K.

Tags

CCSS.HSG.CO.B.7

Front

If PR = 2x + 6 and JL = 10, what is the value of x if ΔPQR ≅ ΔLJK?

Back

x = 2, therefore PR = 10.

Tags

CCSS.HSG.CO.B.7

Front

If AC = 34 and AB = 14 - x in ΔABC ≅ ΔMNO, what is the value of x if MO = 3x - 2?

Back

x = 12.

Tags

CCSS.HSG.CO.B.7

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The lengths of corresponding sides of congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

If AB ≅ XY in ΔABC ≅ ΔXYZ, what can we say about the lengths of AB and XY?

Back

AB = XY.

Tags

CCSS.HSG.CO.B.7