As shown in the figure, AB is parallel to Cd in ladder ABCD. If AB = CD, is ladder ABCD isosceles triangle? Why?

As shown in the figure, AB is parallel to Cd in ladder ABCD. If AB = CD, is ladder ABCD isosceles triangle? Why?

You asked the wrong questions
Is it an isosceles trapezoid
Answer: Yes
Because AB is parallel to CD, ABCD is trapezoidal
So ABCD is rectangular, so ABCD is isosceles trapezoid