Question

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

Answer 1

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 :)✨