Triangle Congruence

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 all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

List the criteria for triangle congruence.

Back

1. SSS (Side-Side-Side) 2. SAS (Side-Angle-Side) 3. ASA (Angle-Side-Angle) 4. AAS (Angle-Angle-Side) 5. HL (Hypotenuse-Leg for right triangles)

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS congruence criterion?

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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS congruence criterion?

Back

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

Back

The ASA (Angle-Side-Angle) 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) 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) criterion states that if the hypotenuse and one leg of a 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

What does the notation ∆ABC≅∆XYZ signify?

Back

It signifies that triangle ABC is congruent to triangle XYZ, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If AB≅XY, what can we conclude about segments AB and XY?

Back

Segments AB and XY are equal in length.

Tags

CCSS.8.G.A.2

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which angles and sides correspond to each other in the triangles.

Tags

CCSS.HSG.CO.B.7