What is the contrapositive of the statement “If a quadrilateral has four congruent sides, then it is a rhombus”?

Respuesta :

A contraceptive is when you switch the statement and hypothesis and make them negative. The answer is:

If  it is not a rhombus, a quadrilateral  will not have four congruent sides.

Your question is Incomplete. Please read below for the missing content.

The correct option for the contrapositive of the statement “If a quadrilateral has four congruent sides, then it is a rhombus is B. If a quadrilateral is not a rhombus, then it does have congruent sides.

Explanation:

We know that the statement P ⇒ P

i.e. if P then q.

then it's the contrapositive statement that is ~ q ⇒ ~ p

We have

            "If a quadrilateral has sides, then it is a rhombus"

then ~  P = quadrilateral does not have four congruent sides

        ~  q = quadrilateral is not a rhombus

∴  ~ Q ⇒ ~ p

          = if a quadrilateral is not a rhombus, then it does not have four congruent sides

What shape is a Rhombus?

In Euclidean geometry, a rhombus is a kind of quadrilateral. it's far a special case of a parallelogram, whose all sides are identical and diagonals intersect every other at 90 ranges. that is the basic assets of a rhombus. The form of a rhombus is a diamond shape.

What is the contrapositive of the statement "If a quadrilateral has four congruent sides, then it is a rhombus"?

A. If a quadrilateral is a rhombus, then it has four congruent sides.

B. If a quadrilateral is not a rhombus, then it does not have four congruent sides,

C. If a quadrilateral does not have four congruent sides, then it is not a rhombus.

D. If a quadrilateral has four congruent sides, then it is not a rhombus.

Learn more about Rhombus here https://brainly.com/question/20627264

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