72.8k views
3 votes
Is parallelogram WXYZ a rectangle?

Is parallelogram WXYZ a rectangle?-example-1
User Fasih Awan
by
8.6k points

2 Answers

5 votes

Answer: No a parallelogram WXYZ isn’t a rectangle

Explanation:

User Alexmac
by
8.6k points
4 votes

Answer:

No.

Explanation:

All rectangles are parallelograms, but not all parallelograms are rectangles.

WXYZ is not a rectangle because WV ≠ ZV and XV ≠ YV. The diagram doesn't say ∠W, ∠Z, ∠X, or ∠Y are right angles, so we cannot assume they are. Solely given comparison of diagonals, we can infer that WXYZ is not a rectangle.

User Chelz Adams
by
8.5k points