A transverals cuts two parallel lines at A and B. The two interior angles at A are bisected and so are the two interior angles at B, the four bisectors from a quadrilateral ACBD, prove that ABCD is parallelogram.

A transversal cuts two parallel lines PQ and RS at points A and B respectively. The two interior angles at A are bisected and so are the two interior angles at B, the four bisectors form a quadrilateral ACBD. Prove that: ACBD is a rectangle

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Sum of co-interior angles between parallel lines is two right angles

Prove that the bisectors of the interior angles of a rectangle form a square.

Alternate interior angles between parallel lines are equal

Find the angles of a triangle whose interior and exterior angles are in the ratio of 2:7. also, the other two interior angles are in the ratio of 3:4.

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.