Question

Kyle said that it is not possible to draw a trapezoid that is a rectangle. Trisha said it is possible. Who is correct? Support your answer using the properties of sides and angles.

Answer 1

Kyle is correct, because it is not possible to draw a trapezoid that is a rectangle.

Explanation:

Trapezoid:

• It is a quadrilateral with only one pair of of parallel sides
• Also in Trapezoid all the four angles are not right angle
• In Trapezoid is it not necessary that the diagonals bisect at all the cases
• The opposite angles are supplementary

Rectangle:

• Opposite sides of a rectangle are parallel and equal, thus having two pairs of parallel lines
• In a Rectangles all the four angles are 90 degrees i.e, right angle
• Diagonals of rectangles must bisect each other
• The sum of any two angles is supplementary