Quadrilateral ABCD: Analyzing Segments AF=5, FD=6, BF=FC=7 for Parallelogram Properties

Question

Shown below is the quadrilateral ABCD.

AF = 5 and FD = 6.

BF = 7 and FC = 7.

Is the quadrilateral a parallelogram?

00:11 Is the four-sided shape a parallelogram?

00:15 In a parallelogram, both diagonals cut each other in half. Let's check if this is true.

00:20 We see that one diagonal is divided into equal parts. Now, let's look at the other.

00:27 This diagonal isn't evenly split.

00:30 So, the shape is not a parallelogram. And that's how we answer this question.

No.