Answer:
D) 11
Step-by-step explanation:
Explanation:
Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)
This means that AC is the average of the two parallel bases EB and DF
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
The value of x is 11.
The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, A and C are midpoints of DE and FB respectively
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
Learn more about mid point theorem here:
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