A quadrilateral is a trapezoid if exactly one pair of opposite sides are parallel.
\Use slope formula to determine if atleast one pair of opposite sides are parallel.
\The slope formula is .
Slope of (Substitute
)
(Simplify)
Slope of (Substitute
)
(Simplify)
Slope of (Substitute
)
Slope of (Substitute
)
Since slopes of and
are equal,
.
Therefore, QRST is a trapezoid.
QRST is a trapezoid.