About Midpoint Formula:
The midpoint formula is used to find the coordinates of the midpoint of a line segment. The x-coordinate of the midpoint will be found as the average of the two x-coordinates for our endpoints. The y-coordinate of the midpoint will be found as the average of the two y-coordinates for our endpoints. M = ((x1 + x2)/(2), (y1 + y2)/(2))
Test Objectives
- Demonstrate the ability to find the midpoint of a line segment
#1:
Instructions: find the midpoint of each line segment PQ.
$$a)\hspace{.2em}P(2,-4), Q(1,5)$$
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#2:
Instructions: find the midpoint of each line segment PQ.
$$a)\hspace{.2em}P(-1,-7), Q(-4,4)$$
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#3:
Instructions: find the midpoint of each line segment PQ.
$$a)\hspace{.2em}P(10,8), Q(6,2)$$
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#4:
Instructions: find the midpoint of each line segment PQ.
$$a)\hspace{.2em}P(-20,14), Q(-4,6)$$
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#5:
Instructions: find the midpoint of each line segment PQ.
$$a)\hspace{.2em}P(-3,7), Q(-11,15)$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.2em}\left(\frac{3}{2},\frac{1}{2}\right)$$
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#2:
Solutions:
$$a)\hspace{.2em}\left(-\frac{5}{2},-\frac{3}{2}\right)$$
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#3:
Solutions:
$$a)\hspace{.2em}(8,5)$$
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#4:
Solutions:
$$a)\hspace{.2em}(-12,10)$$
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#5:
Solutions:
$$a)\hspace{.2em}(-7,11)$$
