Triangle Congruence: SSS, SAS, ASA, AAS, HL

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.8.G.A.2

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: 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: 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: 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

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does CPCTC mean?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Tags

CCSS.HSG.CO.B.7

Front

If triangle ABC is congruent to triangle DEF by SSS, what can we conclude about their sides?

Back

AB = DE, BC = EF, AC = DF.

Tags

CCSS.HSG.CO.B.7

Front

If triangle XYZ is congruent to triangle PQR by ASA, what can we conclude about their angles?

Back

∠X = ∠P, ∠Y = ∠Q, ∠Z = ∠R.

Tags

CCSS.HSG.CO.B.7

Front

How can you prove two triangles are congruent using SAS?

Back

Show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles?

Back

All corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2