Triangle Congruence Shortcuts

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence criteria.

Tags

CCSS.8.G.A.2

Front

What is the significance of the 'Cannot Be Determined' answer in triangle congruence?

Back

'Cannot Be Determined' indicates that there is insufficient information to conclude that two triangles are congruent based on the given data.

Tags

CCSS.8.G.A.2

Front

List the main triangle congruence criteria. What are they?

Back

The main triangle congruence criteria are: 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 criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion stating 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 ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion stating 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 HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion used for right triangles stating 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 determine if two triangles are congruent using the AAS criterion?

Back

To determine if two triangles are congruent using the AAS criterion, verify that two angles and the non-included side of one triangle are equal to the corresponding two angles and the non-included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of congruent triangles in geometry?

Back

Congruent triangles are important in geometry because they allow for the establishment of equal lengths and angles, which can be used to solve various geometric problems and proofs.

Tags

CCSS.8.G.A.2