SSAT Upper Level Math : Midpoint Formula

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

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Example Question #1 : Midpoint Formula

A line segment on the coordinate plane has endpoints  and . In terms of  and , as applicable, give the -coordinate of its midpoint.

Possible Answers:

Correct answer:

Explanation:

The -coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is 

.

Example Question #1 : How To Find The Midpoint Of A Line Segment

A line segment on the coordinate plane has endpoints  and . In terms of  and , as applicable, give the -coordinate of its midpoint.

Possible Answers:

Correct answer:

Explanation:

The -coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is 

.

Example Question #3 : Midpoint Formula

A line segment has the endpoints  and . What is the midpoint of the line?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line, take the averages of the x-coordinates and the average of the y-coordinates.

Example Question #1 : Midpoint Formula

What is the midpoint of a line segment with endpoints  and ?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line, just take the average of the -coordinates and the average of the -coordinates.

Example Question #2 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line segments with endpoints  and ?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line segment, take the average of the -coordinates, then take the average of the -coordinates.

Example Question #6 : Midpoint Formula

A line has the endpoints . What is its midpoint?

Possible Answers:

Correct answer:

Explanation:

The coordinates of the midpoint of a line are just the averages of the coordinates of the endpoints.

Example Question #1 : Midpoint Formula

A line segment has endpoints . What is the midpoint of this line segment?

Possible Answers:

Correct answer:

Explanation:

To find the coordinates of the midpoint of a line, take the averages of the x and y coordinates of the endpoints.

Example Question #121 : Coordinate Geometry

What is the midpoint of a line if the endpoints of the line are:  ?

Possible Answers:

Correct answer:

Explanation:

Write the midpoint formula.

Substitute the values.

Example Question #1 : Midpoint Formula

A line segment on the coordinate plane has midpoint . One of its endpoints is . What is the -coordinate of the other endpoint, in terms of  and/or ?

Possible Answers:

Correct answer:

Explanation:

Let  be the -coordinate of the other endpoint. Since the -coordinate of the midpoint of the segment is the mean of those of the endpoints, we can set up an equation as follows:

Example Question #1 : How To Find The Endpoints Of A Line Segment

A line segment on the coordinate plane has one endpoint at ; its midpoint is . Which of the following gives the -coordinate of its other endpoint in terms of  and  ?

Possible Answers:

Correct answer:

Explanation:

To find the value of the -coordinate of the other endpoint, we will assign the variable . Then, since the -coordinate of the midpoint of the segment is the mean of those of its endpoints, the equation that we can set up is

.

We solve for :

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