Copy of Converse of the Parallel Lines Conjecture

[b][color=#0000ff]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.[/color][/b] [br]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.
[color=#0000ff]Are the lines parallel?[/color]
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.[br][color=#0000ff]The lines are parallel[/color]
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[math]^\circ[/math]. [br]The lines are parallel
Close
– sudha, evazus

Information: Copy of Converse of the Parallel Lines Conjecture