Can you have a trapezoid with three congruent sides?

Michael is correct. The little item in the question that is misleading you is the statement that "angles opposite of congruent sides in an isosceles trapezoid must be congruent. read more

Notice that their tops can be moved arbitrarily close together or far apart and you would still have a trapezoid when the tops are connected and the bottoms are connected. So at some point, the tops can be separated by a distance that is exactly equal to the length of both / and \. So three sides would be congruent. read more

Best Answer: No - if a trapezoid has 3 congruent sides, the fourth side will also have to be congruent in order for you to close the shape. In this case, your trapezoid will be a square. By definition, a trapezoid has to have one pair of opposite sides that are parallel. read more

An isosceles trapezium will have two and can have three congruent sides. But the base and top MUST be different. read more