The length of the mid segment of this trapezoid is 8 units.
The Greek roots of the term trapezoid are trapeza, which means "table," and -oeides, which means "formed." A trapezoid is shaped like a table. It has two parallel sides, which are often referred to as the figure's bases. The average of the bases multiplied by the height will yield the area of a trapezoid.
An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively.
According to, Trapezium Midpoint Theorem,
Mid segment of a trapezoid is equal to half of sum of its two parallel sides.
So, the length of the mid-segment : 1/2 (AB+CD)
Now, applying distance formula:
AB = [tex]\sqrt{(7-2)^2+(4-4)^2}[/tex] = 5 unit
CD = [tex]\sqrt{(9+2)^2 + (-1+1)^2}[/tex] = 11 unit
Hence, the length of the mid-segment : 1/2 (5 + 11)
= 1/2 × 16
= 8 unit
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