Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.

A. Arrange four equal-length sides so the diagonals bisect each other.
B. Arrange four equal-length sides so the diagonals are equal lengths also.
C. Make each diagonal the same length as four equal-length sides.
D. Not possible; Lucinda has to be able to measure a right angle.

Please explain your answer - Thanks

Respuesta :

The diagonals of the square have the same length (property of a square).
Lucinda must arrange four equal-length sides so the diagonals are equal lengths also.

Answer: B.

The square has all four sides are equal and all angles are the right angles. She can build a sandbox by measuring all the lengths that should equal.

The correct option is B.

Given:

Lucinda wants to build a square sandbox.

As per the square definition, all four sides should be equal. In order to prepare a sandbox, she needs to make sure that the diagonal should be same length. So, she needs to arrange four equal-length sides.

Thus the correct option is B.

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