If two lines are cut by a transversal so that the same side interior angles are congruent, then the lines are parallel
2006-11-02 11:25:46 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yah :]
2006-11-02 11:28:46 · answer #1 · answered by Anonymous · 0⤊ 1⤋
It's rarely true. When parallel lines are cut by a transversal, the interior angles on the same side are supplementary. The same side interior angles can only be congruent if the transversal is perpendicular to the parallel lines. There is a case when same side interior angles are congruent, but in more cases, it is not so.
2006-11-02 20:00:44 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
False. It is the alternate side interior angles that are congruent when the lines are parallel, not the same side interiors. The same side interior angles are actually supplementary when the lines are parallel. Same side interior angles are congruent for parallel lines only in the special case where the angle is a right angle, meaning the transversal is perpendicular to the lines.
2006-11-02 19:30:59 · answer #3 · answered by DavidK93 7 · 0⤊ 0⤋
Same side interior angles are congruent, and the lines are parallel, only if both angles are 90 degrees. If their sum is 180 degrees the lines are parallel.
Alternate interior angles are equal, that is congruent, if the lines are parallel.
2006-11-02 19:49:32 · answer #4 · answered by Alan Turing 5 · 0⤊ 0⤋
If two lines are cut by a transversal, and the corresponding angles are congruent (congruent angles have the same measure), the lines are parallel.
2006-11-02 19:33:41 · answer #5 · answered by Galaxy D 2 · 0⤊ 0⤋
I do believe so, but the "same side interior angles" part confuses me.
2006-11-02 19:32:28 · answer #6 · answered by Chris J 6 · 0⤊ 1⤋
yep
2006-11-02 19:57:13 · answer #7 · answered by Dr. J. 6 · 0⤊ 0⤋
True,
if its homework you work out why!
2006-11-02 19:30:23 · answer #8 · answered by Cara 2 · 0⤊ 1⤋
yes it is.
2006-11-02 19:34:12 · answer #9 · answered by who? me? 2 · 0⤊ 0⤋