Short-Question

# Does a trapezoid always have congruent sides?

## Does a trapezoid always have congruent sides?

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

Are all angles of a trapezoid equal?

Explanation: All quadrilaterals’ interior angles sum to 360°. In isosceles trapezoids, the two top angles are equal to each other. Similarly, the two bottom angles are equal to each other as well.

What is always true about a trapezoid?

The properties of a trapezoid apply by definition (parallel bases). The legs are congruent by definition. The lower base angles are congruent. The upper base angles are congruent.

### What are the bases of the trapezoid?

The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides (if they are not parallel; otherwise there are two pairs of bases).

Does a trapezoid have two pairs of congruent angles?

Base Angles in Isosceles Trapezoids The two angles along the same base in an isosceles triangle will be congruent. Thus, this creates two pairs of congruent angles—one pair along each base. The base angles of an isosceles trapezoid are congruent.

What is a trapezoid with no right angles?

A scalene trapezoid is a trapezoid with no sides of equal measure, in contrast with the special cases below.

## Why are the base angles of an isosceles trapezoid congruent?

What is the sum of the angles of a trapezoid?

Trapezoid. A four-sided polygon having exactly one pair of parallel sides. The two sides that are parallel are called the bases of the trapezoid. The sum of the angles of a trapezoid is 360 degrees.

Does trapezoid always have two congruent sides?

Most isosceles trapezoids will have exactly two sets of congruent sides, however it is possible for an isosceles trapezoid to have three congruent sides. It is also possible to have a trapezoid have exactly two congruent sides and not be an isosceles trapezoid.

### Does trapezoid have any right angles?

Answer and Explanation: A trapezoid might not have any right angles, or it might have two right angles. Most trapezoids have two acute angles (under 90 degrees) and two… See full answer below.

How do you find the angle of a trapezoid?

Break the trapezoid into 1 rectangle and 2 right triangles . Draw straight lines down from the corners of the top base so they intersect and form 90-degree angles with the bottom base. The inside of the trapezoid will have 1 rectangle in the middle and 2 triangles on either side that are the same size and have 90-degree angles.