How to use the midsegment theorem to find the length of a base of a trapezoid

The video tutorial covers the properties of trapezoids, focusing on midpoints and midsegments. It introduces the midsegment formula and demonstrates how to apply it to solve for unknown lengths in trapezoids. The tutorial includes step-by-step problem-solving techniques, emphasizing the relationship between midsegments and the bases of trapezoids.

What is a defining characteristic of a trapezoid?

• It has a set of parallel sides.

• It has three equal sides.

• It has no parallel sides.

• It has four right angles.

What is created when the midpoints of the non-parallel sides of a trapezoid are connected?

• A perpendicular bisector

• A tangent

• A diagonal

• A midsegment

How is the length of the midsegment in a trapezoid calculated?

• It is half the sum of the lengths of the two bases.

• It is twice the length of one of the bases.

• It is the difference between the lengths of the two bases.

• It is the sum of the lengths of the two bases.

If the midsegment of a trapezoid is 28 and one base is 18, what is the length of the other base?

• 10

• 20

• 30

• 36

What operation is used to eliminate the fraction when solving for the unknown base in the midsegment formula?

• Division

• Multiplication by the reciprocal

• Subtraction

• Addition