3-2 Properties of Parallel Lines
Objectives
To prove theorems about parallel lines
To use properties of parallel lines to find angle measures
In the Solve It, you identified several pairs of angles that appear congruent. You already know the relationship between vertical angles. In this lesson, you will explore the relationships between the angles you learned about in Lesson 3-1 when they are formed by parallel lines and a transversal.
Essential Understanding The special angle pairs formed by parallel lines and a transversal are congruent, supplementary, or both.
Take Note: Postulate 3-1 Corresponding Angles Postulate
Postulate
If a transversal intersects two parallel lines, then corresponding angles are congruent.
If …
Then …
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs