Given the diagram below, what is the length of segment EF?
2 answers:
Answer: D. 5
Step-by-step explanation:
In the given figure , we have give a trapezioid ABCD with parallel sides BC= 3.3 units and AD= 6.7 units.
Also, E and F appears as the mid points of non parallel sides AB and CD and parallel to the bases BC and AD.
⇒ EF would be the median of trapezioid ABCD.
Also, we know that , the length of the median of a trapezoid equals to one-half the sum of the lengths of the two bases.
i.e. length of EF =
i.e. length of EF =
i.e. length of EF =
i.e. length of EF = 5 units.
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This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
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