Question

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determine whether the quadrilateral is a parallelogram. justify your answer.
no
none of the tests for parallelograms are fulfilled
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Explanation:

Step1: Recall parallelogram diagonal test

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

Step2: Analyze the diagram

The marks on the diagonals show that each diagonal is divided into two equal segments (one tick marks for one pair of equal segments, two tick marks for the other pair of equal segments). This means the diagonals bisect each other.

Answer:

Yes, the quadrilateral is a parallelogram. Its diagonals bisect each other, which satisfies a key test for a parallelogram.