. Prove that if two parallel lines are intersected by a transversal


Prove that if two parallel lines are intersected by a transversal, then prove that the bisectors of the interior angles form a rectangle.

Best Answer

Explanation:

We are given two parallel lines AB and CD and a transversal EF intersect them at G and H respectively. GM, HM, GL and HL are the bisectors of the two pairs of interior angles.

We have to prove that GMHL is a rectangle.

parallel lines

So, GMHL is a parallelogram.

parallel lines

Hence, GMHL is a rectangle.

Final answer:

Therefore, we have proved the given statement.

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