Mathematics
In a quadrilateral ABCD, AB = AD and CB = CD. Prove that :
(i) AC bisects angle BAD.
(ii) AC is perpendicular bisector of BD.
Related Questions
In the following figure, ABCD is a parallelogram. Prove that :
(i) AP bisects angle A
(ii) BP bisects angle B
(iii) ∠DAP + ∠CBP = ∠APB
ABCD is a square. A is joined to a point P on BC and D is joined to a point Q on AB. If AP = DQ; prove that AP and DQ are perpendicular to each other.
The angles of a pentagon are in the ratio 2 : 5 : 6 : 4 : 3. The largest angle is:
54°
135°
162°
108°
At a vertex of a regular polygon, exterior angle is 120°. Then the number of sides of this polygon is:
3
4
5
6