Trapezoid Properties and Medians

In this video, Teacher Going introduces trapezoids, explaining their definition and properties. The video covers the concept of angles in trapezoids, including supplementary angles. It also delves into the median of a trapezoid, explaining how it is parallel to the bases and half the sum of the lengths of the bases. The video concludes with examples demonstrating how to calculate the median of trapezoids using given formulas.

What is the defining characteristic of a trapezoid?

• It has two pairs of parallel sides.

• It has three pairs of parallel sides.

• It has one pair of parallel sides.

• It has no parallel sides.

In a trapezoid, what are the parallel sides called?

• Diagonals

• Legs

• Vertices

• Bases

Which angles in a trapezoid are supplementary?

• Angles on the same base

• Adjacent angles

• All angles

• Opposite angles

What is the median of a trapezoid parallel to?

• The vertices

• The diagonals

• The bases

• The legs

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

• Subtract the length of one base from the other.

• Multiply the lengths of the bases and divide by two.

• Add the lengths of the bases and divide by two.

• Add the lengths of the legs and divide by two.

If the upper base of a trapezoid is 9 units and the lower base is 11 units, what is the length of the median?

• 20 units

• 11 units

• 10 units

• 9 units

In a trapezoid, if the median is 23.5 units, what could be the possible lengths of the bases?

• 20 and 27 units

• 22 and 25 units

• 26 and 21 units

• 24 and 23 units

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

• The median is half the sum of the bases.

• The median is the difference between the bases.

• The median is equal to the sum of the bases.

• The median is twice the sum of the bases.

Which of the following is NOT a property of the median in a trapezoid?

• It is equal to the length of one of the bases.

• It is parallel to the bases.

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

• It divides the trapezoid into two smaller trapezoids.

If a trapezoid has bases of lengths 15 and 25, what is the length of the median?

• 20 units

• 25 units

• 30 units

• 40 units