Name ______________________________________________________ PreAlgebra Date _______________________ Notes 9.2 Angle Relationships Def: Adjacent angles share a vertex and a side but have no common interior points. Def: Vertical angles are formed by two intersecting lines and are opposite each other. Vertical angles are congruent. Def: Congruent angles are angles that have the same measure. Def: Supplementary angles are angles whose measures sum to 180 . Def: Complementary angles are angles whose measures sum to 90 . Def: A transversal is a line that intersects two other lines in different points. Some pairs of angles formed by transversals have special names. Def: Corresponding angles lie on the same side of the transversal in corresponding positions. Corresponding angles formed by a transversal that cuts through parallel lines are congruent. 1 and 3 are corresponding 2 and 4 are corresponding 8 and 6 are corresponding 7 and 5 are corresponding Def: Alternate interior angles are in the interior of the pair of lines and are on opposite sides of the transversal. Alternate interior angles formed by a transversal that cuts through parallel lines are congruent. 2 and 6 are alternate interior 7 and 3 are alternate interior Def: Alternate exterior angles are on the exterior of the pair of lines and are on opposite sides of the transversal. Alternate exterior angles formed by a transversal that cuts through parallel lines are congruent. 1 and 5 are alternate exterior 8 and 4 are alternate exterior Def: Same side interior angles are in the interior of the pair of lines and are on the same side of the transversal. Same side interior angles formed by a transversal that cuts through parallel lines are supplementary. 2 and 3 are same side interior 7 and 6 are same side interior Def: Same side exterior angles are on the exterior of the pair of lines and are on the same side of the transversal. Same side exterior angles formed by a transversal that cuts through parallel lines are supplementary. 1 and 4 are same side exterior 8 and 5 are same side exterior