Congruent Triangles

Front

What are congruent triangles?

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 method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if 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 does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of an isosceles triangle?

Back

A triangle that has at least two sides of equal length.

Tags

CCSS.4.G.A.2

Front

What is the definition of a scalene triangle?

Back

A triangle in which all three sides are of different lengths.

Tags

CCSS.4.G.A.2

Front

What is the definition of an equilateral triangle?

Back

A triangle in which all three sides are of equal length.

Tags

CCSS.4.G.A.2

Front

How can you determine if two triangles are congruent?

Back

By using congruence criteria such as SSS, SAS, ASA, AAS, or HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

A method to prove congruence in right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5