Triangle Congruence

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 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 does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

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 is the HL theorem in triangle congruence?

Back

The HL theorem stands for Hypotenuse-Leg, which states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the significance of triangle congruence?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry, engineering, and real-world problem-solving.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) cannot be used to prove triangle congruence because it does not guarantee that the triangles are congruent.

Front

If two triangles have two equal angles, what can be concluded?

Back

If two triangles have two equal angles, they are similar, but not necessarily congruent unless the sides are also proportional.

Front

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

Back

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

Front

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

Back

To prove triangles are congruent using the SSS postulate, you must show that all three sides of one triangle are equal to all three sides of another triangle.