Two consecutive angles of a trapezoid are right angles. Three of the following statements about the trapezoid could be true. Which statement CANNOT be true?

a. The two right angles are base angles.
b. The diagonals are not congruent.
c. Two of the sides are congruent.
d. No two sides are congruent

Question

Two consecutive angles of a trapezoid are right angles. Three of the following statements about the trapezoid could be true. Which statement CANNOT be true?

a. The two right angles are base angles. 
b. The diagonals are not congruent. 
c. Two of the sides are congruent. 
d. No two sides are congruent

mathmate · Answer

Mathematically speaking, all four statements $can$ be all true because a rectangle is also a trapezoid.  The minimum requirement for a trapezoid is one pair of parallel sides.

mathmate · Answer

For the intended purpose of this questoin, consider the parallel sides have different lengths.

chayanne · Answer

Thank you so much!

mathmate · Answer

You're welcome!  :)