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SAT II Math I : Midpoint Formula

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Example Questions

Example Question #71 : How To Find The Midpoint Of A Line Segment

A line is connected by points (2,5) and (-1,3) on a graph. What is the midpoint?

Possible Answers:

$(\frac{9}{2},4)$

$(-\frac{1}{2},4)$

$(-\frac{3}{2},4)$

$(-\frac{3}{2},1)$

$(\frac{1}{2},4)$

Correct answer:

$(\frac{1}{2},4)$

Explanation:

Write the midpoint formula.

$(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Let (x_1,y_1) = (2,5) and (x_2,y_2) = (-1,3) .

Substitute the given points.

$(x,y) = (\frac{2+(-1)}{2}, \frac{5+3}{2})$

Simplify the coordinate.

$(x,y) =(\frac{1}{2},4)$

The answer is: $(\frac{1}{2},4)$

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Example Question #611 : Sat Subject Test In Math I

Find the midpoint between (2,8) and (8,6).

Possible Answers:

$\small (10,14)$

$\small (5,1)$

$\small (3,7)$

$\small (5,7)$

$\small (3,1)$

Correct answer:

$\small (5,7)$

Explanation:

The midpoint formula says that:

$Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Given (2,8) and (8,6); $\small x_{1}=2$ $\small \small x_{2}=8$ $\small \small y_{1}=8$ $\small \small y_{2}=6$

Plug the values into the formula and reduce:

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})=(\frac{2+8}{2},\frac{8+6}{2})=(5,7)$

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Example Question #181 : Geometry

Find the midpoint between (-1,-3) and (3,-1) .

Possible Answers:

(-1,4)

(1,2)

(-1,-2)

(1,1)

(1,-2)

Correct answer:

(1,-2)

Explanation:

Write the formula for the midpoint.

$M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

Substitute the point into the formula.

$M = (\frac{-1+3}{2},\frac{-3+(-1)}{2} ) = (1,-2)$

The answer is: (1,-2)

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All SAT II Math I Resources

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SAT II Math I : Midpoint Formula

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #71 : How To Find The Midpoint Of A Line Segment

Example Question #611 : Sat Subject Test In Math I

Example Question #181 : Geometry

All SAT II Math I Resources

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