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julia-pushkina [17]
3 years ago
11

Mary states, "If the diagonals of a parallelogramare congruent, then the

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = 90^{0} (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC = 360^{0}

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

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