McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
5. The Triangle Inequality
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Exercise 51 Page 452

A rectangle is a quadrilateral with four right angles.

H

Practice makes perfect
Let's start with analyzing the statement. If a polygon is a rectangle, then it has four sides.

By the definition, a rectangle is a quadrilateral with four right angles. The word quadrilateral means that a rectangle has four sides. Therefore, the statement is true. Now we can examine the converse, which states the following. If a polygon has four sides, then it's a rectangle. Let's draw an arbitrary polygon with four sides and see if it is a rectangle.

As we can see, ABCD is indeed a polygon with four sides. However, it is not a rectangle. We conclude that not every polygon that has four sides is a rectangle. Therefore, the converse is false. The answer is H.