Question

Which statement proves that quadrilateral uwxy is a parallelogram.

Answer 1

Parallelograms are shapes that have 4 sides, where the opposite sides are congruent and parallel

How to determine a parallelogram

For a shape to be a parallelogram, then the following must be true

1. The opposite side lengths are congruent
2. The opposite side lengths are parallel
3. The diagonals bisect each other

The proof statement

The above statements in (a) above mean that:

The statements that prove that quadrilateral uwxy is a parallelogram are

• Diagonals UX and WY bisect each other
• Sides UW and XY are congruent
• Sides UW and XY are parallel.

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