High School Math : Midpoint and Distance Formulas

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #11 : Midpoint And Distance Formulas

What is the midpoint of a line segment whose endpoints are ?

Possible Answers:

Correct answer:

Explanation:

The midpoint is the average of the endpoints.

Example Question #12 : Midpoint And Distance Formulas

What is the midpoint of a line segment connecting the points  and ?

Possible Answers:

Correct answer:

Explanation:

Use the midpoint formula, , with our points   and .

Example Question #13 : Midpoint And Distance Formulas

Find the midpoint between these two points:

 and 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line segment, use the standard midpoint equation: 

Plug in the given points and simplify:

Example Question #14 : Midpoint And Distance Formulas

Find the midpoint of the line segment connecting  and 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line segment, we find the average of the -values and the average of the -values. Thus, we have that: 

 

Midpoint = 

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

What is the length of a line with endpoints  and ?

Possible Answers:

Correct answer:

Explanation:

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

Example Question #16 : Midpoint And Distance Formulas

The points A, B, and C reside on a line segment. B is the midpoint of AC. If line AB measures 6 units in length, what is the length of line AC?

Possible Answers:

Correct answer:

Explanation:

If B is the midpoint of AC, then AC is twice as long as AB. We are told that AB=6.

The diagram shows six units between points A and B, with B as the midpoint of segment AC. Therefore segment BC is also six units long, so line AC is twelve units long.

Example Question #1 : How To Find The Length Of A Line With Distance Formula

What is the length of a line segment with end points  and ?

Possible Answers:

Correct answer:

Explanation:

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

 

Example Question #2 : How To Find The Length Of A Line With Distance Formula

What would be the length of a line with endpoints at  and ?

Possible Answers:

Correct answer:

Explanation:

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

Example Question #3 : How To Find The Length Of A Line With Distance Formula

What line goes through the points and ?

Possible Answers:

Correct answer:

Explanation:

Find the slope between the two points:

Next, use the slope-intercept form of the equation:

or where

So the equation becomes or in standard form .

Example Question #4 : How To Find The Length Of A Line With Distance Formula

What is the length of a line with endpoints at  and ?

Possible Answers:

Correct answer:

Explanation:

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

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