Triangle Congruence Review

Front

What does the HL theorem state about triangle congruence?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent 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 SAS theorem in triangle congruence?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Define the ASA theorem in the context of triangle congruence.

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the AAS theorem state?

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent 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 SSA condition in triangle congruence?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence; it can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.8.G.A.2

Front

What is needed to prove triangles congruent by SSS?

Back

To prove triangles congruent by SSS (Side-Side-Side), all three corresponding sides of the triangles must be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

Back

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are congruent, meaning their sides and angles are equal.

Tags

CCSS.8.G.A.2