Combine P and Q using if and only if

P: If a quadrilateral is equiangular,then it is a rectangle.

Q: If a quadrilateral is a rectangle, then it is equiangular.

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Solution

A quadrilateral is a rectangle if and only if it is equiangular.

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Similar questions

Rewrite the following statements in the form: 'p if and only if q'.

p: If a quadrilateral is equaiangular, then it is a rectangle.

q: If a quadrilateral is a rectangle, then it is equiangular.

Re write each of the following statements in the form “p if and only if q”.

(i) p: If you watch television, then your mind is free and if your mind is free, then you watch television.

(ii) q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

(iii) r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Rewrite each of the following statements in the form "p if and only if q"

(i) p : If you watch television, then your mind is free and if your mind is free, then you watch television.

(ii) q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

(iii) r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

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