Mathematics
The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.
Related Questions
BEC is an equilateral triangle inside the square ABCD. The value of angle ECD is :
60°
30°
75°
45°
E is the mid-point of side AB and F is the mid point of side DC of parallelogram ABCD. Prove that AEFD is a parallelogram.
The alongside figure shows a parallelogram ABCD in which AE = EF = FC. Prove that :
(i) DE is parallel to FB
(ii) DE = FB
(iii) DEBF is a parallelogram.
In the alongside figure, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B. Prove that :
(i) AQ = BP
(ii) PQ = CD
(iii) ABPQ is a parallelogram