Proving Parallel LinesVideos, worksheets, games and acivities to help PreCalculus students learn how to use the converse of the parallel lines theorem to prove that lines are parallel.
Converse of Parallel Lines Theorem : If two lines are intersected by a transversal, then alternate interior angles, alternate exterior angles, andcorresponding angles are congruent. The converse of the theorem is true as well. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines areparallel.
Proving Lines Parallel This lesson investigates the converse of alternate interior angles theorem, alternate exterior angles theorem, corresponding angles postulate, same side interior angles theorem and same side exterior angles theorem.
Proving Lines are Parallel Students learn the converse of the parallel line postulate. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel. Students are then asked to determine which lines are parallel in given figures using information about the angles in the figures.
Find the value of x that will make the lines parallel
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