Copy of Converse of the Parallel Lines Conjecture
The Parallel Lines Conjecture states that if parallel lines are cut by a transversal, then corresponding angles, alternate interior angles, and alternate exterior angles are congruent.
What happens when those angles are made congruent? Are the lines always parallel? Let us explore this.
Is the converse true?
Task 1: Drag the points A, B, C and D and make the corresponding angles equal. Observe the relationship between the lines.
Are the lines parallel?
Task 2: Click on the checkbox to show alternate interior angles equal.
Drag the vertices A, B, C, and D and make alternate interior angles measure equal. and observe the lines. The lines are parallel
Tasl 3 : Click on the check box to show the measure of interior angles.
Drag the vertices A, B, C, and D and make the sum of interior angles as 180. The lines are parallel