Question

A farmer is building a fence for his yard. He is considering two designs, which are shown below. Explain why the quadrilaterals formed by the horizontal rails and the slanting boards are parallelograms in both designs.

Answer 1

https://nnds-li.brainhoney.com/Resource/19791661,B9D/Assets/assessmentimages/geo%20part%201%20u4l7%203.jpg

Answer 2

The horizontal rails are congruent to each other. The slanting boards are all congruent to each other. A parallelogram has four congruent sides, so both quadrilaterals are parallelograms.
The horizontal rails are parallel to each other. A parallelogram has exactly one pair of parallel sides, so both quadrilaterals are parallelograms.
The horizontal rails are congruent to each other. The slanting boards are all congruent to each other. A parallelogram has two pairs of adjacent sides, but opposite sides are not congruent, so both quadrilaterals are parallelograms.
The horizontal rails are parallel to each other. The identical slanting boards all slant at the same angle, so the sides are parallel. Both pairs of sides in a parallelogram are parallel, so both quadrilaterals are parallelograms.

Answer 3

the answer was D i guessed.