Parallelogram Verification: Quadrilateral with Sides 15 and Diagonals 10

Question

Shown below is the quadrilateral ABCD.

AB = 15 and CD = 15.

BD = 10 and AC = 10.

Is the quadrilateral a parallelogram?

00:00 Is the quadrilateral a parallelogram?

00:03 A parallelogram is a quadrilateral with 2 pairs of equal opposite sides

00:07 Let's check the sides of our quadrilateral

00:11 We found 2 pairs of equal opposite sides, therefore it's a parallelogram

00:14 And this is the solution to the question

Yes.