Solve the problem.
-Decide whether or not the points are the vertices of a rhombus. (-7, -1), (2, -10), (16, -3), (7, 8)
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if the points form a rhombus, we need to check if all sides are of equal length and if the diagonals bisect each other at right angles. Calculating the distances between the points:1. Distance between (-7, -1) and (2, -10) = sqrt[(2 - (-7))^2 + (-10 - (-1))^2] = sqrt[81 + 81] = sqrt[162]2. Distance between (2, -10) and (16, -3) = sqrt[(16 - 2)^2 + (-3 - (-10))^2] = sqrt[196 + 49] = sqrt[245]3. Distance between (16, -3) and (7, 8) = sqrt[(7 - 16)^2 + (8 - (-3))^2] = sqrt[81 + 121] = sqrt[202]4. Distance between (7, 8) and (-7, -1) = sqrt[(-7 - 7)^2 + (-1 - 8)^2] = sqrt[196 + 81] = sqrt[277]Since the lengths of the sides are not all equal, the points do not form a rhombus.

Solve the Problem. -Decide Whether or Not the Points Are the Vertices of the Vertices