Geometry L Unit 5 - Triangle Congruence

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 congruent to two sides and the included angle 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 congruent to the three sides 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 congruent to two angles and the included side of another triangle.

Front

What does HL stand for 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 congruent to the hypotenuse and one leg of another triangle.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that a quantity is equal to itself, which is often used in proving congruence, such as PR ≅ PR.

Front

How can you determine if two triangles are congruent using the SAS criterion?

Back

To determine if two triangles are congruent using the SAS criterion, check if two sides of one triangle are congruent to two sides of another triangle and if the included angle between those sides is also congruent.

Front

What is the significance of congruence statements in geometry?

Back

Congruence statements indicate that two geometric figures are identical in shape and size, allowing for the application of various congruence criteria to prove their equality.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

What is the purpose of using triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which can help in solving various geometric problems and applications.

Front

Can two triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to prove triangle congruence; at least two angles or two sides must be known.