Chapter 5 Review

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 AAS theorem in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that 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

Define ASA in the context of triangle congruence.

Back

ASA stands for Angle-Side-Angle, a theorem 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the triangle sum theorem?

Back

The triangle sum theorem states that the sum of the angles in any triangle is equal to 180 degrees.

Front

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

Back

If two triangles have two pairs of equal angles, the third angles must also be equal, making the triangles congruent by the AA (Angle-Angle) criterion.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size.

Front

How can you prove that two triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using the SSS (Side-Side-Side) theorem, show that all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What is the significance of the included angle in the SAS theorem?

Back

The included angle in the SAS theorem is the angle formed between the two sides being compared; it is crucial for establishing congruence.