Easy Triangle Congruence Theorems

Front

Which theorem applies to right triangles only?

Back

Hypotenuse-Leg

Tags

CCSS.HSG.SRT.B.5

Front

What does congruence mean?

Back

Two figures have the same size and shape.

Tags

CCSS.8.G.A.2

Front

In the Angle-Angle-Side theorem, how are the congruent angles positioned?

Back

They are consecutive.

Tags

CCSS.HSG.SRT.B.5

Front

Which theorem states that if two triangles have a pair of corresponding congruent angles, a pair of corresponding congruent sides, and another pair of corresponding congruent angles, then the triangles are congruent?

Back

Angle-Angle-Side.

Tags

CCSS.HSG.SRT.B.5

Front

Which theorem states that if two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent?

Back

Side-Side-Side.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) theorem?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Side-Angle (ASA) theorem?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of a congruent triangle?

Back

Triangles that are identical in shape and size.

Tags

CCSS.8.G.A.2

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Sides and angles that are in the same relative position in two congruent triangles.

Tags

CCSS.8.G.A.2