A city garden club is planting a square garden. They drive pegs into the ground at each corner and tie strings between each pair. The pegs are spaced so that WX ≅ XY ≅ YZ ≅ ZW . How can the garden club use the diagonal strings to verify that the garden is a square? Complete the explanation.
e23
Because both pairs of opposite sides of the quadrilateral garden are congruent, the garden is a parallelogram. The garden is a
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, because all four sides are congruent. If it can be proven that it is also a
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, then the garden is a square. So, if the diagonals
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, then the garden is a square. The club members can measure the lengths of the diagonals.