Alternate Interior Angles Postulate

Look at a window with panes divided by muntins.

Alternate interior angles postulate. Powered by restream https restream io. When two lines are crossed by another line called the transversal alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. Converse of the alternate interior angles theorem 1 m 5 m 3 given 2 m 1 m 3 vertical or opposite angles 3 m 1 m 5 using 1 and 2 and transitive property of equality both equal m 3 4 1 5 3 the definition of congruent angles 5 ab cd converse of.

Make a capital letter z like the mark of zorro you ll probably have to look up that 1919 superhero. Anywhere they cross you can find alternate interior angles. The parallel vertical muntins are probably transversed by a horizontal muntin.

As a consequence of euclid s parallel postulate if the two lines are parallel consecutive interior angles are supplementary corresponding angles are equal and alternate angles are equal. In this video you will learn about the alternate interior angles theorem and the same side interior angles postulate. Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

Alternate interior angles in real life. So let s do exactly what we did when we proved the alternate interior angles theorem but in reverse going from congruent alternate angels to showing congruent corresponding angles. The transversal crosses through the two lines which are coplanar at separate points.

The intersections of a transversal with two lines create various types of pairs of angles. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior. Learn about alternate interior angles.