Which statement is false?

A. A parallelogram is a rectangle if and only if its diagonals are congruent.
B. A parallelogram is a rhombus if and only if its diagonals are congruent.
C. A quadrilateral is a square if and only if it is a rhombus and a rectangle.
D. A quadrilateral is a rectangle if and only if it has four right angles.

Pls HELP!

Question

15-04-2018
Mathematics

contestada

Which statement is false?

A. A parallelogram is a rectangle if and only if its diagonals are congruent.
B. A parallelogram is a rhombus if and only if its diagonals are congruent.
C. A quadrilateral is a square if and only if it is a rhombus and a rectangle.
D. A quadrilateral is a rectangle if and only if it has four right angles.

Pls HELP!

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Mrscomputator Mrscomputator · Answer 1 · 2018-04-24T23:29:08+02:00

Mrscomputator Mrscomputator

24-04-2018

The statement that is false is choice A. On a parallelogram, the diagonals will always be congruent even if it is not a rectangle. To test this, draw numerous parallelograms and draw in the diagonals. They will be the same length even though they are not rectangles.

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