The quadrilateral formed by the angle bisectors of a parallelogram is what type of quadrilateral?
Rectangle
It is a standard theorem that the quadrilateral formed by the internal angle bisectors of a parallelogram is always a rectangle, since consecutive angle bisectors meet at 90 degrees (as consecutive angles of a parallelogram are supplementary and their halves sum to 90 degrees).
Important Questions from Quadrilaterals
What is the value of AC 2– BD 2
What is the point of intersection of the diagonals?
What is the area of the parallelogram?
ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BEC = 138° and ∠ECD = 35°, then what is the measure of ∠BAC?
A circle is inscribed in a quadrilateral ABCD, touching sides AB, BC CD and DA at P, Q, R and S, respectively. If AS = 6 cm, BC = 12 cm, and CR = 5 cm, then the length of AB (in cm) is:
