One diagonal of a parallelogram has endpoints at p(-2, 5) and r(1, -1). the other diagonal has endpoints at q(1,5) and s(-2,-1). what type of parallelogram is pqrs? explain

  Rectangle

Step-by-step explanation:

It can help to plot the points on a graph.

Points P and Q have the same y-coordinates (5), so are on the same horizontal line. Points P and S have the same x-coordinates (-2), so are on the same vertical line. The sides of this parallelogram are perpendicular to each other, so it is a rectangle.

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Analytically, you can find the lengths of the diagonals. The vector PR has coordinates R-P = (1-(-2), (-1-5)) = (3, -6), so will have length √(3²+(-6)²) = 3√5. The vector QS has coordinates S-Q = (-2-1, -1-5) = (-3, -6), so will have length √((-3)²+(-6)²) = 3√5.

When the diagonals of a parallelogram have the same length, it is a rectangle. (These vectors are not at right angles to each other, so the rectangle is not a square.)

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer