Geometry Chapter 5 Review

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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.

Front

What is the SAS Postulate?

Back

The SAS Postulate 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.

Front

What is the AAS Theorem?

Back

The AAS Theorem 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.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies to 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.

Front

What is the SSS Postulate?

Back

The SSS Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

How can you prove triangles are congruent using the SAS Postulate?

Back

To prove triangles are congruent using the SAS Postulate, you need to show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS requires a non-included side to be equal along with two angles.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the transfer of properties and measurements between them.

Front

How do you identify congruent triangles in a diagram?

Back

Look for marked angles and sides that indicate equality, and apply congruence postulates or theorems such as ASA, AAS, SAS, or SSS.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to establish that two triangles are congruent, which helps in solving problems related to angles, sides, and other geometric properties.