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Worksheet: Trapezoid Midsegment Theorem

Q1:

Suppose that 𝐴 𝐡 = 1 2 8 and 𝑋 π‘Œ = 9 5 . What is 𝐢 𝐷 ?

  • A128
  • B111.5
  • C95
  • D62

Q2:

Suppose that 𝐴 𝐡 = 1 6 8 and 𝑋 π‘Œ = 1 4 9 . What is 𝐢 𝐷 ?

  • A168
  • B158.5
  • C149
  • D130

Q3:

Suppose that 𝐴 𝐡 = 1 9 6 and 𝑋 π‘Œ = 1 7 7 . 5 . What is 𝐢 𝐷 ?

  • A196
  • B186.8
  • C177.5
  • D159

Q4:

In the figure, 𝐿 𝐻 is the midsegment of trapezoid 𝐹 𝐺 𝐽 𝐾 . What is the value of π‘₯ ?

Q5:

In the figure, 𝐿 𝐻 is the midsegment of trapezoid 𝐹 𝐺 𝐽 𝐾 . What is the value of π‘₯ ?

Q6:

In the figure, 𝐿 𝐻 is the midsegment of trapezoid 𝐹 𝐺 𝐽 𝐾 . What is the value of π‘₯ ?

Q7:

If 𝐡 𝐴 = 2 4 c m and 𝐷 𝐢 = 2 6 c m , find the length of 𝐾 𝐹 .

Q8:

If 𝐡 𝐴 = 1 0 c m and 𝐷 𝐢 = 1 2 c m , find the length of 𝐾 𝐹 .

Q9:

If 𝐡 𝐴 = 3 4 c m and 𝐷 𝐢 = 2 4 c m , find the length of 𝐾 𝐹 .

Q10:

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

Q11:

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

Q12:

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

Q13:

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 20.5 cm
  • B , distance is 17.7 cm
  • C , distance is 6.2 cm
  • D , distance is 19 cm
  • E , distance is 19 cm