Question

A quadrilateral ABCD has four right angles. The diagonals bisect each other.

Based on the given properties of the quadrilateral ABCD, which of these is a valid conclusion?
A.) Quadrilateral ABCD must be a square.
B.) Quadrilateral ABCD must be a rhombus.
C.) Quadrilateral ABCD must be a square or a rectangle.
D.) Quadrilateral ABCD must be a rectangle or a rhombus.

Answer 1

Robb - how do you think it ?

Answer 2

Let's eliminate them:

Based on the first statement, we can say that it is a square or rectangle.
Based on the second statement, we can again say that it is a square or a rectangle.

So, we say that Squares and Rectangles make the statements true =))

Answer 3

So, option C. is correct.

Answer 4

ok thank you guys :)

Answer 5

Quadrilateral ABCD must be a square or a rectangle.
For square, diagonals bisect each other, and there are 4 right angles.
For rhombus, diagonals bisect each other. But there is no right angle. (or may not have right angles)
For rectangle, diagonals bisect each other, and there are 4 right angles.
From here you can get the answer.
Sorry ... it's too late... :(

Answer 6

To be a square the diagonals have to bisect each other at right angles (they are not congruent however)

Answer 7

For a rectangle the diagonals just bisect each other and they are congruent.

Answer 8

so are you saying its not C. ?

Answer 9

@Callisto

Answer 10

@_@ I guess it's C ?!

Answer 11

ok ill let you know if it is

Answer 12

It is. The diagonals in both figures bisect each other.

Answer 13

It is indeed C.