Question

10. Q(-10,-2), R(1, -1), S(1, -7), 7(-11, -8) (D
QR-
ST=_
Is QRST a parallelogram=

Answer 1

NOT a parallelogram

Explanation:

Segment QT is not parallel to vertical line segment RS, so QRST cannot be a parallelogram.

_____

A parallelogram has diagonals that have the same midpoint. That means the coordinates of opposite vertices sum to the same value. Here, we have ...

Q+S = (-10+1, -2-7) = (-9, -9) ≠ R+T = (1-11, -1-8) = (-10, -9)

Since the diagonals do not have the same midpoint, the figure cannot be a parallelogram.