Question

The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.

Answer 1

Answer: MP = 2

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Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2