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sergey [27]
3 years ago
14

Which of the following information would prove the quadrilateral ABCD is a rectangle?

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

The correct option is B

B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2

Step-by-step explanation:

A rectangle has the following features:

  • Opposite sides are equal
  • Opposite side are parallel (same slope)
  • all the interior angle are 90° (adjacent sides are perpendicular)

Considering these point, the best options is B because:

AB || CD = opposite sides have same slope 2 (they are parallel)

BC || DA = opposite sides have same slope -1/2 (they are parallel)

For 2 lines to be perpendicular:

Slope of line 1 = -1/ (Slope of line 2)

Let line 1 be AB and line 2 be BC

Slope of AB = -1/(Slope of BC)

2 = -1/(-1/2 )

2=2

Hence proved

As two points are true, third point will also be true

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