Diagonal AC of a parallelogram ABCD bisects `angle A` (see Fig. 8.19). Show that (i) it bisects `angle C` also, (ii) ABCD is a rhombus.

Diagonal AC of a parallelogram ABCD bisects /_A (See fig.) . Show that ABCD is a rhombus.

Diagonal AC of a parallelogram ABCD bisects /_A (See fig.) . Show that ABCD is a rhombus.

Diagonal AC of a parallelogram ABCD bisects /_A (See fig.) . Show that It bisects /_C also.

Diagonal AC of a parallelogram ABCD bisects /_A (See fig.) . Show that It bisects /_C also.

Diagonal AC of a parallelogram ABCD bisects angleA show that ABCD is a rhombus.

Diagonal AC of a parallelogram ABCD bisects angleA show that If bisects angleC also.

Diagonals of the parallelogram bisect each other at right angles .

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB (see Fig. 8.14). Show that (i) angle DAC = angle BCA and (ii) ABCD is a parallelogram.

In quadrilateral ACBD, AC = AD and AB bisects angle A (see Fig. 7.16). Show that triangle ABC cong triangle ABD . What can you say about BC and BD?