115721
AssignmentMultiple Choice

Special Parallelograms

Question 115721 • *CR CCSS Math 2 S2 [M2960OX]

Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

Answer
A
It is not a square because opposite angles are not congruent.
B
It is not a square because the angles at the vertices are not right angles.
C
It is a square because all the sides are congruent.
D
It is a square because the diagonals are perpendicular.

Explanation

If the banner were a square, a diagonal and two sides would form a right triangle, with the diagonal as the hypotenuse. For sides of 25 inches, that diagonal would be 25√2 inches, about 35.4 inches—not 48 inches. So the angles are not right angles, and the banner is not a square; choice B is correct.

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