Chapter 4 Review, 318

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that 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 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 does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid postulate for proving triangle congruence because it can lead to ambiguous cases.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

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 is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to determine that two triangles are the same in terms of size and shape, which is fundamental in proving other geometric properties.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are the same size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

What is an example of using the Exterior Angle Theorem?

Back

If angle A is 40 degrees and angle B is 60 degrees in triangle ABC, then the exterior angle at C is 100 degrees (40 + 60).