Triangle Congruency

Front

What is the HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence 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

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can only be used for right triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What information is required to prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS (Side-Side-Side), you need to show that 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 congruency?

Back

SAS stands for Side-Angle-Side, which is a method to prove triangle congruency by showing that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAA criterion for triangle congruency?

Back

SAA (Side-Angle-Angle) is a criterion that states 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Which is NOT a shortcut to prove triangles congruent?

Back

SSA (Side-Side-Angle) is NOT a valid shortcut to prove triangles congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SSS criterion state?

Back

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

Tags

CCSS.8.G.A.2

Front

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

Back

The ASA criterion 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

To determine if two triangles are congruent using the HL theorem, check if both triangles are right triangles and if their hypotenuses and one leg are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape (all corresponding sides and angles are equal), while similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and corresponding sides are in proportion).

Tags

CCSS.8.G.A.2