Question

Use the given vertices to determine whether the figure is a parallelogram. Justify your answer with the methods indicated. S(-2,1), R(1,3), T(2,0), Z(-1,-2) Distance and Slope Formulas

Answer 1

The figure is not a parallelogram based on the distances between the given vertices.

Step-by-step explanation:

To determine whether the figure is a parallelogram, we can use the distance and slope formulas. First, we calculate the distances between the given vertices:

SR √[9 + 4] = √13

ST= √[16 + 1] = √17

TZ = √[9 + 4] = √13

SZ √[1 + 9] = √10

Based on the distances, SR is not equal to TZ, and ST is not equal to SZ. Therefore, the figure is not a parallelogram.