What is the Converse of the Corresponding Angles Postulate?

What is the Converse of the Corresponding Angles Postulate?

Note:

The corresponding angles postulate states that when a transversal intersects parallel lines, the corresponding angles are congruent. What if you go the other way and start with corresponding angles that are congruent? Is the converse of this postulate true? This tutorial explores exactly that!

Keywords:

  • definition
  • transversal
  • parallel lines
  • conditional statement
  • if then
  • theorem

Background Tutorials

  • Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

      • What are Parallel Lines?What are Parallel Lines?

      What are Parallel Lines?

      Lines that are parallel have a very special quality. Without this quality, these lines are not parallel. In this tutorial, take a look at parallel lines and see how they are different from any other kind of lines!

  • Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

      • What Does Congruent Mean?What Does Congruent Mean?

      What Does Congruent Mean?

      If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

  • Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

      • What is the Corresponding Angles Postulate?What is the Corresponding Angles Postulate?

      What is the Corresponding Angles Postulate?

      When a transversal intersects parallel lines, the corresponding angles created have a special relationship. The corresponding angles postulate looks at that relationship! Follow along with this tutorial to learn about this postulate.