Question

5. Diagonals of a parallelogram ABCD intersect at the point
0. XY is a line segment passing through O such that X
lies on AD and Y lies on BC. Give reasons for each of
the following statements.
(a) OB = OD
(b) angleOBY = angleODX
(c) angleBOY = angleDOX
(d) TriangleBOY congurent to TriangleDOX​

Answer 1

Answer:

(a) Diagonals of a parallelogram bisect each other.

(b) Alternative angles

(c) Vertically opposite angles

(d) ASA congruent rule

Answer 2

a) Diagonals of a parallelogram bisect each other.

(b) Alternative angles

(c) Vertically opposite angles

(d) ASA congruent rule