Midsegments of Trapezoids

Front

What is a midsegment of a trapezoid?

Back

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

Front

What is the formula for finding the length of the midsegment of 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 bases.

Front

If the bases 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 midsegment and the bases of a trapezoid?

Back

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

Front

How does the midsegment divide the trapezoid?

Back

The midsegment divides the trapezoid into two smaller trapezoids that are similar to the original trapezoid.

Front

What is the significance of the midsegment in trapezoids?

Back

The midsegment helps in calculating the area and understanding the properties of trapezoids.

Front

If a trapezoid has bases of lengths 8 and 20, what is the midsegment length?

Back

The midsegment length is (8 + 20) / 2 = 14.

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 bases and h is the height.

Front

If the height of a trapezoid is 5 and the bases are 6 and 10, what is the area?

Back

The area is (6 + 10) / 2 * 5 = 40.

Front

What is the height of a trapezoid?

Back

The height of a trapezoid is the perpendicular distance between the two bases.