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ICE Princess25 [194]
3 years ago
5

Quadrilateral ABCD has the following vertices:

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

  A +C = B +D

  (0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

ohaa [14]3 years ago
6 0

Answer:

Yes, because opposite sides are parallel, and \angle A∠Aangle, A is a right angle.

Step-by-step explanation:

khan academy

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angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what
spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

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∠L = (10x-4)

According to the definition,

K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91

Dividing both sides by 13

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So,

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∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

  • brainly.com/question/5756316
  • brainly.com/question/5751004

#LearnwithBrainly

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