Trapezoids

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What is the midsegment of a trapezoid?

Back

The midsegment of a trapezoid is the line segment that connects the midpoints of the non-parallel sides and is parallel to the bases.

Front

How do you calculate the length of the midsegment in a trapezoid?

Back

The length of the midsegment (XY) can be calculated using the formula: XY = (Base1 + Base2) / 2.

Front

If the bases of a trapezoid are 21 and 5, what is the length of the midsegment?

Back

The length of the midsegment is (21 + 5) / 2 = 13.

Front

What is the formula for finding the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (Base1 + Base2) / 2 * Height.

Front

Is a trapezoid a type of parallelogram?

Back

No, a trapezoid is not a parallelogram because it does not have two pairs of parallel sides.

Front

What is the relationship between the bases and the median of a trapezoid?

Back

The median of a trapezoid is equal to the average of the lengths of the two bases.

Front

If the median of a trapezoid is 13 and one base is 21, what is the other base?

Back

The other base can be found using the formula: Base2 = 2 * Median - Base1. So, Base2 = 2 * 13 - 21 = 5.

Front

What is the definition of a base in a trapezoid?

Back

A base in a trapezoid refers to one of the two parallel sides.

Front

If one base of a trapezoid is 8 and the other is 6, what is the midsegment?

Back

The midsegment is (8 + 6) / 2 = 7.