Dec 17 Unit 5 Review Core 3 Geometry Congruent Triangles

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.

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.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence specifically for right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

Are triangles with equal corresponding angles always congruent?

Back

No, triangles with equal corresponding angles are not necessarily congruent unless the sides are also proportional (AAA does not prove congruence).

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size (corresponding angles are equal, and sides are proportional).

Front

How can you prove that two triangles are congruent using the AAS criterion?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the significance of the included angle in the SAS criterion?

Back

In the SAS criterion, the included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.