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C) Rectangle

Step-by-step explanation:

The Answer is rectangle because-

- The diagonals of a rectangle bisect each other.

- The diagonals of a rectangle are equal/congruent

- both pairs of opposite sides of rectangle are equal

- Diagonals of Rectangle are NOT perpendicular

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Parallelogram

solution given:

properties of parallelogram:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus