Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the SAS congruence criterion?

Back

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA congruence criterion?

Back

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

Back

The AAS (Angle-Angle-Side) congruence criterion 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

Front

What is the HL congruence criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you denote congruence between two triangles?

Back

Congruence between two triangles can be denoted using the symbol '≅'. For example, if triangle ABC is congruent to triangle DEF, it can be written as ΔABC ≅ ΔDEF.

Tags

CCSS.8.G.A.2

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, listing the corresponding vertices in order.

Tags

CCSS.8.G.A.2

Front

If ΔLMK ≅ ΔLMT, what can be inferred about their corresponding angles and sides?

Back

If ΔLMK ≅ ΔLMT, then the corresponding angles ∠L, ∠M, and ∠K are equal to ∠L, ∠M, and ∠T respectively, and the corresponding sides LM, MK, and LK are equal to LT, TM, and LM respectively.

Tags

CCSS.8.G.A.2

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) signifies that two geometric figures are identical in shape and size, allowing for the comparison of their properties.

Tags

CCSS.8.G.A.2