Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. They are equal in measure.

Tags

CCSS.8.G.A.5

Front

What is the AAS postulate?

Back

The AAS postulate states that 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between SAS and ASA?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while ASA (Angle-Side-Angle) requires two angles and the included side to be equal for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the HL theorem?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if all three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What are corresponding sides?

Back

Corresponding sides are sides that are in the same relative position in two different triangles. They are equal in length if the triangles are congruent.

Tags

CCSS.8.G.A.2

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, you need to show that two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5