Trapezoid Midsegments

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 a midsegment of a trapezoid?

Back

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

Front

What is the formula for the length of the midsegment in a trapezoid?

Back

The length of the midsegment (m) is given by the formula: m = (b1 + b2) / 2, where b1 and b2 are the lengths of the two parallel sides.

Front

If the lengths of the parallel sides of a trapezoid are 10 and 14, what is the length of the midsegment?

Back

The length of the midsegment is (10 + 14) / 2 = 12.

Front

What is the relationship between the angles in a trapezoid?

Back

In a trapezoid, the angles on the same side of a leg are supplementary, meaning they add up to 180 degrees.

Front

How do you find the height of a trapezoid?

Back

The height of a trapezoid can be found using the formula: height = (Area * 2) / (b1 + b2), where Area is the area of the trapezoid and b1 and b2 are the lengths of the parallel sides.

Front

What is the area formula for a trapezoid?

Back

The area (A) of a trapezoid is given by the formula: A = (b1 + b2) / 2 * h, where b1 and b2 are the lengths of the parallel sides and h is the height.

Front

If a trapezoid has an area of 60 and the lengths of the parallel sides are 8 and 12, what is the height?

Back

Using the area formula: 60 = (8 + 12) / 2 * h, we find h = 6.

Front

What is the significance of the midsegment in trapezoids?

Back

The midsegment is parallel to the bases and its length is the average of the lengths of the two bases.

Front

If the midsegment of a trapezoid is 15 and one base is 10, what is the length of the other base?

Back

Using the midsegment formula: 15 = (10 + b2) / 2, we find b2 = 20.