Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to 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 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 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

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that applies 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent to a triangle with sides of lengths 5, 12, and 13?

Back

Yes, they are congruent by SSS.

Tags

CCSS.8.G.A.2

Front

If triangle ABC has sides AB = 7, AC = 10, and angle A = 60°, what can be concluded about triangle DEF with DE = 7, DF = 10, and angle D = 60°?

Back

Triangle ABC is congruent to triangle DEF by SAS.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles in triangle ABC if angle A = 40° and angle B = 60°?

Back

Angle C = 80° (since the sum of angles in a triangle is 180°).

Tags

CCSS.8.G.A.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.

Tags

CCSS.HSG.CO.B.7

Front

What is the first step to prove triangles are congruent using the SSS postulate?

Back

Measure and compare the lengths of all three sides of both triangles.

Tags

CCSS.HSG.SRT.B.5