Answer:
The slope of AB is - 2,
Slope of BC is
Slope of CD is
Slope of AD is ,
ABCD is trapezoid because one pair of opposite sides is parallel.
Step-by-step explanation:
Given vertices of quadrilateral ABCD,
A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),
∵ Slope of a line passes through two points and is,
Thus, the slope of AB =
Slope of BC =
Slope of CD =
Slope of DA =
Since, when two line segment having the same slope then they are parallel to each other.
∴ BC ║ DA
A quadrilateral only having two parallel sides is called trapezoid,
Hence, ABCD is a trapezoid.