Congruent Triangles (with HL)

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does the HL (Hypotenuse-Leg) theorem state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The SSS criterion 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 SAS (Side-Angle-Side) congruence criterion?

Back

The SAS criterion 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 ASA (Angle-Side-Angle) congruence criterion?

Back

The ASA criterion 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 AAA (Angle-Angle-Angle) criterion?

Back

The AAA criterion states that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar, but not necessarily congruent.

Tags

CCSS.HSG.SRT.A.2

Front

What does 'Not Congruent' mean in triangle congruence?

Back

'Not Congruent' means that the triangles do not have equal corresponding sides and angles, and therefore cannot be considered congruent.

Tags

CCSS.8.G.A.2

Front

What is the significance of the congruence statement ΔLEU≅ΔELG?

Back

This statement indicates that triangle LEU is congruent to triangle ELG, meaning all corresponding sides and angles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the meaning of HA=HA in triangle proofs?

Back

HA=HA indicates that the hypotenuse of triangle A is equal to the hypotenuse of triangle B, which is a step in proving triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2