Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

Define the SAS postulate.

Back

SAS stands for Side-Angle-Side, a postulate that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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 is the HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem that states 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.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal. This property is fundamental in proving various geometric theorems.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, you need to show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What information is needed to use the SSS postulate?

Back

To use the SSS postulate, you need to know the lengths of all three sides of both triangles to show they are equal.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

How do you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using the SAS postulate, you must show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.