# Lesson Worksheet: Trapezoid Midsegment Theorem Mathematics

In this worksheet, we will practice finding unknown lengths in trapezoids using the trapezoid midsegment theorem.

Q1:

Suppose that and . What is ? Q2:

In the figure, is the midsegment of trapezoid . What is the value of ? Q3:

If and , find the length of . • A
• B
• C
• D
• E

Q4:

Find the length of the middle base of a trapezoid whose parallel bases are 107 cm and 246 cm.

Q5:

In a trapezoid where , the point is the midpoint of , is the midpoint of , and . The area of the trapezoid is 513 cm2 and .

Find the length of and the perpendicular distance between and . • A, distance is 19 cm
• B, distance is 17.7 cm
• C, distance is 20.5 cm
• D, distance is 19 cm
• E, distance is 6.2 cm

Q6:

In the figure, is the midsegment of trapezoid . What is the value of ? Q7:

In the figure, is the midsegment of trapezoid . What is the value of ? Q8:

If and , find the length of . • A
• B
• C
• D
• E

Q9:

If and , find the length of . • A
• B
• C
• D
• E

Q10:

Find the length of the middle base of a trapezoid whose parallel bases are 14 cm and 46 cm.

Q11:

Find the length of the middle base of a trapezoid whose parallel bases are 27 cm and 54 cm.

Q12:

Suppose that and . What is ? Q13:

Suppose that and . What is ? Q14:

If the area of a trapezoid is 1,377 cm2, and its height is 51 cm, find the length of its middle base.

Q15:

True or False: The midsegment of a trapezoid is a line that goes across from any point on one leg to the midpoint of the other leg; its length is equal to half the sum of the lengths of the two bases of the trapezoid.

• AFalse
• BTrue

Q16:

is a trapezoid, where . is connecting the midpoints of legs and . If , , and , find the value of . • A3
• B
• C
• D
• E18

Q17:

Which of the following is the correct formula to measure the length of in the trapezoid shown, using the trapezoid midsegment theorem? • A
• B
• C
• D
• E