fatalconfuzmc fatalconfuzmc
  • 02-02-2020
  • Mathematics
contestada

the midsegment of a trapezoid is always parallel to each base true or false

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calculista
calculista calculista
  • 08-02-2020

Answer:

True

Step-by-step explanation:

we know that

The Trapezoid Mid-segment Theorem states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

so

The mid-segment of a trapezoid is always parallel to each base

therefore

The statement is true

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