Converse Of The Alternate Interior Angles Theorem

Sharma solutions class 7 math plane alternate exterior angles.

Converse of the alternate interior angles theorem. When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. Definition angles all the geometry terms for k6 math you need how to find each interior angle of a regular polygon converse alternate interior angles theorem definition straight lines discussion section 1 3 sum of interior and exterior angles of a polygon tutorial interior angles of a concave nonagon r d. If alternate interior angles formed by two lines with an intersecting traversal are congruent then these two lines are parallel.

Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel. Matching match the angle pair relationship on. In this video i take students through an example that using the converse of the corresponding angles postulate to prove the converse of the alternate interior angle theorem.

So in the figure below if k l then 2 8 and 3 5. In today s geometry lesson we ll prove the converse of the alternate interior angles theorem. Are called consecutive interior angles.

Let s recall the alternate interior angles theorem. Lf two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel. Alternate exterior angles examples begin by identifying alternate exterior angles a common geometry problem.

D and f are consecutive interior angles. Use two of the given statements together to complete statements about the diagram to illustrate the alternate interior angles theorem. Thus the converse of alternate interior angles theorem is proved.

The alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent. Converse of the alternate interior angles theorem. Play with it below try dragging the points.