Question

can you show that this quadrilateral is a parallelogram?
yes \t\t no

Explanation:

Step1: Recall parallelogram diagonal rule

A quadrilateral is a parallelogram if its diagonals bisect each other (each diagonal is split into two equal segments by the intersection point).

Step2: Verify segment lengths

The diagram shows each segment of the diagonals is 70, so each diagonal is split into two equal parts: $\text{Diagonal 1 total length} = 70 + 70 = 140$, $\text{Diagonal 2 total length} = 70 + 70 = 140$, with each half equal to 70.

Step3: Apply the theorem

Since the diagonals bisect each other, the quadrilateral satisfies the sufficient condition for being a parallelogram.

Answer:

yes