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.

Answer 1

The diagonals of an isosceles trapezoid are congruent: RIGHT
The bases of a trapezoid are parallel : RIGHT
The adjacent sides of a trapezoid are congruent: WRONG (THIS STATEMENT IS RIGHT ONLY FOR ISCOSELES TRAPEZOID)

Base angles of a trapezoid are congruent: WRONG (THIS STATEMENT IS RIGHT ONLY FOR ISCOSELES TRAPEZOID)

The diagonals of a trapezoid are perpendicular: NOT NECESSARILY (ONLY IN PARTICULAR CASES THEY ARE PERPENDICUAR)

Answer 2

The corrects statements are:

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

Trapezoid is a four sided figure with one pair of opposite sides parallel. The other two sides are intersecting.

Ans isosceles trapezoid is a type of trapezoid whose intersecting sides are equal and non parallel. Its diagonals are equal and also the base angles.

The bases of trapezoid are the parallel sides.

Base angles of an isosceles trapezoid is congruent but not for all type of trapezoid.

The diagonals of a trapezoid are intersecting but not always perpendicular. Though it can be perpendicular sometimes.

Therefore, from the given statements, statements 1 and 2 only are correct.

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