9514 1404 393
Answer:
(c) No, it is not a rectangle because the diagonals are not congruent
Explanation:
The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...
AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5
BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5
The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:
No, it is not a rectangle because the diagonals are not congruent.
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The lengths are found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)