Mod 1 Topic 3 Review

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

An angle bisector is a ray that divides an angle into two equal parts.

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

The Angle Addition Postulate states that if point D is in the interior of angle ABC, then the measure of angle ABC is equal to the sum of the measures of angle ABD and angle DBC.

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

A congruence statement is a statement that indicates that two geometric figures are congruent, often written in the form of triangle congruence, such as △ABC ≅ △DEF.

Congruent angles are angles that have the same measure.

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