Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the SAS postulate state?

Back

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 the ASA postulate state?

Back

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 the AAS postulate state?

Back

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 the HL postulate state?

Back

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 corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which can be used to prove the triangles are congruent.

Front

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

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What additional information is needed to prove triangles congruent by SAS?

Back

You need to know that the included angle between the two sides is equal.

Front

What additional information is needed to prove triangles congruent by ASA?

Back

You need to know that one of the angles opposite the included side is equal.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have the same area because they are identical in shape and size.