1. Prove analytically that the lines joining the midpoints of the adjacent sides of the quadrilateral with vertices A(-3,2), B(5,4), C(7, −6) and D(−5, −4 ) form another quadrilateral whose perimeter is equal to the sum of the diagonals of the first.

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A: Question 1 - The equation of line is given as - y = -2x + 5 Comparing the above line with the…

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A: I'm doing the question myself without using the hint.  Let PQRS be a parallelogram.  Let PQ, QR, RS…

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A: It is possible for two intersecting lines to be noncoplanar.

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A: Sol:- we need to find the points where these lines intersect.We'll denote the first intersection…

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A: Mid point formula is:

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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

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