Module 5: Congruent Triangles Vocabulary

Front

What is a congruent triangle?

Back

Triangles that have the same size and shape, meaning their 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 theorem 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 theorem 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 theorem 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 is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Tags

CCSS.4.G.A.2

Front

What is the vertex angle of an isosceles triangle?

Back

The angle opposite the base of the triangle, which is formed by the two equal sides.

Tags

CCSS.HSG.CO.C.11

Front

What are corresponding angles?

Back

Angles that are in the same position on different parallel lines cut by a transversal.

Tags

CCSS.8.G.A.5

Front

What are remote interior angles?

Back

The two angles inside a triangle that are not adjacent to a given exterior angle.

Tags

CCSS.8.G.A.5

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

A theorem used to prove the congruence of right triangles; if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How do you determine if two triangles are congruent?

Back

By comparing their corresponding sides and angles using congruence theorems (SSS, SAS, ASA, AAS, HL).

Tags

CCSS.8.G.A.2