Geometry Semester Review Topics 7 & 8

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

If ΔABC ≅ ΔDEF, what can be inferred about their corresponding angles and sides?

Back

If ΔABC ≅ ΔDEF, then the corresponding angles and sides of both triangles are equal.

Front

How do you find the measure of an angle in a triangle if two angles are known?

Back

To find the measure of an unknown angle in a triangle, use the fact that the sum of the angles in a triangle is 180 degrees. Subtract the sum of the known angles from 180.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the formula to find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the significance of the triangle inequality theorem?

Back

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