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Question 1 of 6
Find the midpoint between the points A(-4,5) and B(7,4)
Incorrect
First, label the given coordinates
A(-4,5)=A(x1,y1)
B(7,4)=B(x2,y2)
Solve using the Midpoint Formula
Midpoint |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
= |
(-4+72,5+42) |
Plug in the coordinates |
|
= |
(32,92) |
Simplify |
|
= |
(1.5,4.5) |
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Question 2 of 6
Find the midpoint between the points A(3,5) and B(-3,-3)
Incorrect
First, label the given coordinates
A(3,5)=A(x1,y1)
B(-3,-3)=B(x2,y2)
Solve using the Midpoint Formula
Midpoint |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
= |
(3-32,5-32) |
Plug in the coordinates |
|
= |
(02,22) |
Simplify |
|
= |
(0,1) |
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Question 3 of 6
Find the midpoint between the points A(4,1) and B(1,-10)
Incorrect
First, label the given coordinates
A(4,1)=A(x1,y1)
B(1,-10)=B(x2,y2)
Solve using the Midpoint Formula
Midpoint |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
= |
(4+12,1-102) |
Plug in the coordinates |
|
= |
(52,-92) |
Simplify |
|
= |
(2.5,-4.5) |
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Question 4 of 6
Find the midpoint between the points A(-1,-6) and B(3,2)
Incorrect
First, label the given coordinates
A(-1,-6)=A(x1,y1)
B(3,2)=B(x2,y2)
Solve using the Midpoint Formula
Midpoint |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
= |
(-1+32,-6+22) |
Plug in the coordinates |
|
= |
(22,-42) |
Simplify |
|
= |
(1,-2) |
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Question 5 of 6
Find the midpoint between the points A(-6,3) and B(-2,-5)
Incorrect
First, label the given coordinates
A(-6,3)=A(x1,y1)
B(-2,-5)=B(x2,y2)
Solve using the Midpoint Formula
Midpoint |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
= |
(-6-22,3-52) |
Plug in the coordinates |
|
= |
(-82,-22) |
Simplify |
|
= |
(-4,-1) |
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Question 6 of 6
Given the midpoint M(-3,-9) and one endpoint A(-1,-3) of a line segment, find the other endpoint B(Unknown)
Incorrect
First, label the given coordinates
A(-1,-3)=A(x1,y1)
m=(-3,-9)
Substitute the values into the Midpoint Formula
m |
= |
(x1+x22,y1+y22) |
Midpoint Formula |
|
|
= |
(−3,−9)=(−1+x22,−3+y22) |
Plug in the coordinates |
Solve for each coordinate individually
−3 |
= |
−1+x22 |
|
−6 |
= |
−1+x2 |
−5 |
= |
x2 |
x2 |
= |
−5 |
−9 |
= |
−3+y22 |
|
−18 |
= |
−3+y2 |
−15 |
= |
y2 |
y2 |
= |
−15 |