Answer:
ABCD is an isosceles trapezoid.
Step-by-step explanation:
The line AB will be horizontal (parallel to the x axis), because the y values are both 3. It is 9--2 = 11 units long.
CD is also parallel to the x axis because the y values of C and D are both 6. Itis 5 - 2 = 3 units long.
The x values of the four points are all different so ABCD is a trapezoid.
Let's check the lengths of the line segments AC and BD:
AC = √((5--2)^2 + (6-3)^2 = √58.
BD = √((9-2)^2 + (3-6)^2 = √58.
They are equal in length so:
ABCD is an isosceles trapezoid.
