If the diagonals of a parallelogram are perpendicular, then:?

Question

If the diagonals of a parallelogram are perpendicular, then:

A.The parallelogram must be a kite.

B.The parallelogram must be a square.

C.The parallelogram must be a rectangle.

D.The parallelogram must be a rhombus.

Answer 1

D. The parallelogram must be a rhombus.

Answer 2

A parallelogram is a quadrilateral having two pairs of parallel sides.

Answer "A" is wrong because the word "must" is a definite, it could actually be a kite, but would not have to be. Have you ever seen a square kite, I have.

Answer "B" a possibility but not the best answer. Call a square a square.

Answer "C" is ruled out due to the diagonals in the question, for the diagonals in a rectangle would not be perpendicular.

In my opinion "D" is the best answer, by definition a rhombus is a parallelogram with perpendicular diagonals .

"D" is the best answer

Answer 3

Let's think. A kite is never a parallelogram. So A is out. Squares are rhombuses and rectangles, so if it is B, it must be C and D as well. B is out. Rectangles have congruent diagonals, but they are not perpendicular. C is out. RHOMBUS is the answer. :) D

Answer 4

The parallelogram must be a rhombus
(A square is a rhombus)

a kite is too vague and so is a rectangle.

Answer 5

D.The parallelogram must be a rhombus.

Note: Square is a special case of rhombus, so it could be a square, just doesn't have to be.

Answer 6

since a kite is not a parallelogram ... it's out since a rectangle doesn't always have perpendicular diagonals it's out a square is a rhombus so rhombus is your answer

Answer 7

A Rhombus because opposite sides must be parallel.

Answer 8

the answer is D , it would be a Rhombus .

Answer 9

c

Answer 10

B