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Answer the following problems dealing with
midpoints of segments:
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1. |
Find the
midpoint of the segment connecting the points
(6,4) and (3,-4).
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2. |
Find the
midpoint of the segment connecting the points
(a,b) and (3a,c).
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3. |
M
is the
midpoint of
 . The coordinates of
A
are (-2,3) and the coordinates of
M are (1,0).
Find the coordinates of
B.
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4. |
The
coordinates of quadrilateral
ABCD are
A(-3,-1),
B(3,1),
C(7,5),
and
D(1,3).
Do the diagonals bisect each other?
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5. |
M
is the midpoint of
.
The coordinates of
A
are (2,3) and the coordinates of
M
are (4.5,6).
Find the coordinates of
B.
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6. |
is the
diameter of a circle whose center is the point (2,1).
If the coordinates of
C
are
(0,-2), find the coordinates of
D.
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7. |
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Mark planted two
trees on a planning grid at coordinates (0,8) and (12,4). He
wants to plant a row of hedges such that any hedge
is the same distance from each of the two trees.
a. Determine the
midpoint of the line segment connecting the two
trees.
b. Determine the
slope of the line connecting the trees.
c. Determine the
slope of the row of hedges.
d. Write an
equation for the row of hedges. |
Answer
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