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3 years ago

A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

5 0

Answer: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Find:

You can see that vectors and This means that opposite sides are parallel and option B is false.

Find the lengths of all sides:

As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.

Now check whether angles A and B are perpendicular:

The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides

AKA your correct awnser choice is A :)✨

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3 years ago

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kipiarov [429]

Hi!

Remember that an x-intercept is a point in which the line touches the x-axis (the horizontal line). And, the y-intercept is a point in which the line touches the y-axis (the vertical/up and down line)

-----------------

For A)

The coordinate of the y-intercept is (0,1)

The coordinate of the x-intercept is (3,0)

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*both the x and y axis meet at the origin. So, a line that goes through the origin (0,0) is intersecting with BOTH the x and y-axis.

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