Mid-Term Angle-Pair-Relations and triangle Congruence Review

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What is the SSS postulate?

Back

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

Front

What is the SAS postulate?

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 AAS postulate?

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

How do you solve for x in a triangle?

Back

To solve for x, use the properties of angles in a triangle, such as the sum of angles equals 180 degrees, or apply congruence postulates.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What information is needed to prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, you need two angles and the included side of one triangle to be equal to the corresponding two angles and included side of another triangle.

Front

If two angles of a triangle are 35 degrees and 55 degrees, what is the third angle?

Back

The third angle is 90 degrees, since 180 - (35 + 55) = 90.

Front

What is the relationship between corresponding angles of congruent triangles?

Back

Corresponding angles of congruent triangles are equal.