How to find the missing length of a trapezoid using the midsegment formula

The video tutorial explains the properties of trapezoids, focusing on the concept of midsegments. It introduces the midsegment theorem, which states that the midsegment is parallel to the bases and is equal to half the sum of the lengths of the bases. The tutorial demonstrates how to apply this theorem to solve for unknown lengths in trapezoids, using reciprocal multiplication to simplify equations. The session concludes with a review and addresses student questions.

What is a key property of a trapezoid?

• It has no parallel sides

• It has a pair of parallel sides

• All sides are equal

• All angles are right angles

What is the midsegment of a trapezoid?

• A line parallel to the non-parallel sides

• A line bisecting the trapezoid

• A line connecting the vertices of the parallel sides

• A line connecting the midpoints of the non-parallel sides

According to the Midsegment Theorem, how is the length of the midsegment calculated?

• It is twice the length of one base

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

• It is the difference between the lengths of the bases

• It is the sum of the lengths of the bases

If the midsegment length is 15 and one base is 19, what is the length of the other base?

• 11

• 19

• 15

• 30

What mathematical operation can be used to simplify the equation when solving for an unknown base length?

• Multiplication by the reciprocal

• Division by zero

• Subtraction

• Addition