Triangle Congruence Statements

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA), 4) Angle-Angle-Side (AAS), and 5) Hypotenuse-Leg (HL) for right triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent, what can be said about their corresponding parts?

Back

If two triangles are congruent, their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

The Angle-Angle (AA) criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you denote that two triangles are congruent?

Back

Two triangles are denoted as congruent using the symbol '≅'. For example, △ABC ≅ △DEF.

Tags

CCSS.8.G.A.2

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

The Side-Side-Side (SSS) congruence postulate states that 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 is the Side-Angle-Side (SAS) congruence postulate?

Back

The Side-Angle-Side (SAS) congruence postulate states that 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 is the Angle-Side-Angle (ASA) congruence postulate?

Back

The Angle-Side-Angle (ASA) congruence postulate states that 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 is the Angle-Angle-Side (AAS) congruence postulate?

Back

The Angle-Angle-Side (AAS) congruence 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5