Unit 5.1 Triangle Congruence Review

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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 AAS theorem used for?

Back

The AAS theorem is used to prove that two triangles are congruent based on two angles and a non-included side.

Front

What is the significance of the SSS theorem in triangle congruence?

Back

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

Front

What additional information is needed for SSS congruence?

Back

For SSS congruence, the lengths of all three sides of both triangles must be known.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem 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 AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar, but not necessarily congruent.

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Back

Front

How do you find the length of a side in a congruent triangle?

Back

To find the length of a side in a congruent triangle, use the lengths of the corresponding sides from the congruent triangle.

Front

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

Back

In congruent triangles, all corresponding parts (sides and angles) are equal.

Front

What is the formula to find the length of a side in a triangle given the lengths of other sides?

Back

Use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side.