Consider the following statement.
Every parallelogram is a quadrilateral.
(a) Write the converse of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

(b) Write the inverse of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

(c) Write the contrapositive of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

Question

04-09-2022
Mathematics

Answered

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Consider the following statement.
Every parallelogram is a quadrilateral.
(a) Write the converse of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

(b) Write the inverse of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

(c) Write the contrapositive of the given statement.
A figure is a parallelogram if and only if it is a quadrilateral.
If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is not a parallelogram.

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