Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

I don't understand the problem at all

1 Answer
Mar 28, 2018

See below.


Kevin is incorrect.

Note that all four-sided polygons have a total amount of #360º#, and that every right angle is #90º#.

Knowing this, and going by Kevin's claim, we would already have #270º# with the three right angles. This only leaves us another #90º# angle, which is not possible in respect to forming a trapezoid.

For a quadrilateral to be a trapezoid, it can have only ONE set of parallel sides. If the quadrilateral had all angles being #90º#, there would be two sets of parallel sides, making it not a trapezoid, but a square, rectangle, etc.