Consider the following statement. Every parallelogram is a quadrilateral. (a) Write the converse of the given statement. O 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. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. O If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram. (b) Write the inverse of the given statement. O A figure is a parallelogram if and only if it is a quadrilateral. O If a figure is a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram. (c) Write the contrapositive of the given statement. O 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. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram.
Consider the following statement. Every parallelogram is a quadrilateral. (a) Write the converse of the given statement. O 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. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. O If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram. (b) Write the inverse of the given statement. O A figure is a parallelogram if and only if it is a quadrilateral. O If a figure is a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram. (c) Write the contrapositive of the given statement. O 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. O If a figure is not a quadrilateral, then it is a parallelogram. O If a figure is a quadrilateral, then it is a parallelogram. If a figure is not a parallelogram, then it is not a quadrilateral. O If a figure is not a quadrilateral, then it is not a parallelogram.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:Consider the following statement.
Every parallelogram is a quadrilateral.
(a) Write the converse of the given statement.
O 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.
O If a figure is not a quadrilateral, then it is a parallelogram.
O If a figure is a quadrilateral, then it is a parallelogram.
O If a figure is not a parallelogram, then it is not a quadrilateral.
O If a figure is not a quadrilateral, then it is not a parallelogram.
(b) Write the inverse of the given statement.
O A figure is a parallelogram if and only if it is a quadrilateral.
O If a figure is a parallelogram, then it is not a quadrilateral.
If a figure is not a quadrilateral, then it is a parallelogram.
O If a figure is a quadrilateral, then it is a parallelogram.
O If a figure is not a parallelogram, then it is not a quadrilateral.
O If a figure is not a quadrilateral, then it is not a parallelogram.
(c) Write the contrapositive of the given statement.
O 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.
O If a figure is not a quadrilateral, then it is a parallelogram.
O If a figure is a quadrilateral, then it is a parallelogram.
If a figure is not a parallelogram, then it is not a quadrilateral.
O If a figure is not a quadrilateral, then it is not a parallelogram.
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