ISOSCELES TRAPEZOID MIDSEGMENT THEOREM WORKSHEET

Problem 1 :

Trapezoid with Midsegment

x = _____, y = _____

isos-trap-with-mid-q1

Solution

Problem 2 :

Isosceles Trapezoid with Midsegment

x = _____, y = _____

isos-trap-with-mid-q2

Solution

Problem 3 :

Trapezoid with Midsegment

x = _____, y = _____

isos-trap-with-mid-q3

Solution

Problem 4 :

Trapezoid with Midsegment

x = _____, Perimeter = _____

isos-trap-with-mid-q4

Solution

Problem 5 :

Isosceles Trapezoid with Midsegment

x = _____, y = _____

isos-trap-with-mid-q5

Solution

Problem 6 :

Isosceles Trapezoid with Midsegment

x = _____, y = _____

isos-trap-with-mid-q6

Solution

Answer Key

1)  So, the values of x and y is 4 and 20.

2)  So, the values of x and y is 2 and 23.

3)  So, the values of x and y is 13 and 23.

4)  So, the value of x is 5. Perimeter = 14 units.

5)  So, the values of x and y is 13.75 and 22.

6)  So, the values of x and y is 5 and 5. 

Problem 1 :

In the figure, YZ is the midsegment of trapezoid TWRV.  Determine the value of x.

midsegmentoftrapeq1

Solution

Problem 2 :

Solve for x.

midsegmentoftrapeq2

Solution

Problem 3 :

Find the length of TU.

midsegmentoftrapeq3

Solution

Problem 4 :

CD is the midsegment of trapezoid WXYZ.

a. What is the value of x?

b. What is XY?

c. What is WZ?

midsegmentoftrapeq4

Solution

Answer Key

1)  So, length of line segment VR is 1.2

2)  x = 9

3) TU = 24

4)  x = 8, XY = 33, WZ = 11

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