Question

The quadrilateral TOMA on a coordinate plane has the following characteristics.

TA can be represented by the equation y = 4x where −1 ≤ x ≤ 0.
OM can be represented by the equation y = 4x − 16 where 3 ≤ x ≤ 5.
Describe the quadrilateral.

Answer 1

trapezoid

Explanation:

y = 4x slope = 4

y' = 4x -16 slope = 4

TA // OM

TA: -1 ≤ x ≤ 0 (limited value)

OM: 3 ≤ x ≤ 5

TA and OM limited in different range, their length is not equal

The shape is a trapezoid