ABCD is a rectangle in which diagonal AC bisects `/_A`as well as `/_C`. Show that:(i) ABCD is a square (ii) diagonal BD bisects `/_B`as well as `/_Ddot`.

ABCD is a rectangle in which diagonal AC bisects angleA as well as angleC. Show that (i) ABCD is a square (ii) diagonal AD bisects angleB

ABCD is a rectangle in which diagonal BD bisects /_B. Show that ABCD is a square.

ABCD is a rhombus. Show that diagonal AC bisects /_A as well as /_C and diagonal BD bisects /_B as well as /_Ddot

If in a rectangle ABCD, diagonal AC bisect angleA as well as angleC then ABCD is a

Three statements are given below: I. In a rectangle ABCD, the diagonal AC bisects angle A as well as angle C. II. In a square ABCD, the diagonal AC bisects angle A as well as angle C. III. In a rhombus ABCD, the diagonal AC bisects angle A as well as angle C. Which is true?

If ABCD is a quadrilateral whose diagonals AC and BD intersect at O, then

ABC is an isoceless triangle in which AB=AC . AD bisects exterior /_PAC and CD|AB. Show that (i) /_DAC=/_BCA( ii) ABCD is a plarallelogram.

ABCD is a quadrilateral and BD is one of its diagonals as shown in Figure.Show that ABCD is a parallelogram and find its area.

Diagonal AC of a parallelogram ABCD bisects \ /_A . Show that (i) it bisects \ /_C also, (ii) ABCD is a rhombus.