Question

which statements are correct regarding the properties of trapezoids? check all that apply. the diagonals of an isosceles trapezoid are congruent. the bases of a trapezoid are parallel. the adjacent sides of a trapezoid are congruent. base angles of a trapezoid are congruent. the diagonals of a trapezoid are perpendicular.

Explanation:

1. In an isosceles trapezoid, the non - parallel sides are equal in length and the diagonals are congruent. This is a well - known property.
2. By definition, a trapezoid is a quadrilateral with one pair of parallel sides, which are called the bases.
3. Adjacent sides of a trapezoid are not necessarily congruent.
4. Only in an isosceles trapezoid are the base angles congruent, not in a general trapezoid.
5. The diagonals of a trapezoid are not necessarily perpendicular.

Answer:

• The diagonals of an isosceles trapezoid are congruent.
• The bases of a trapezoid are parallel.