Quadrilateral abcd has coordinates a (3, −5), b (5, −2), c (10, −4), d (8, −7). quadrilateral abcd is a

The quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

The vertices of  quadrilateral ABCD is A (3, −5), B (5, −2), C (10, −4), D (8, −7).

Slope Formula:

Slope of AB,

Slope of BC,

Slope of CD,

Slope of AD,

The slopes of opposite sides are equal it means opposite sides are parallel.

The product of slopes of two consecutive sides is not equal to -1, it means the two consecutive sides are not perpendicular.

From the below figure it is noticed that the length of two consecutive sides are not equal.

Therefore quadrilateral ABCD is a parallelogram.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>