HiSET: Math : Midpoint of line segments

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Midpoint Of Line Segments

Give the coordinates of the midpoint of the line segment whose endpoints are the intercepts of the line of the equation

.

Possible Answers:

None of the other choices gives the correct response.

Correct answer:

Explanation:

The x-intercept and y-intercept of the line of an equation can be found by substituting 0 for and , respectively, as follows:

x-intercept:

Substitute and simplify:

Solve for by dividing by 2 on both sides:

The x-intercept of the line is located at

The y-intercept can be found by setting and solving for in a similar fashion:

The y-intercept is located at .

 

The midpoint of a line segment, given its endpoints and , is located at

;

substituting accordingly,

The midpoint is located at .

 

Example Question #2 : Midpoint Of Line Segments

What is the midpoint of the line segment created by the points  and ?

Possible Answers:

Correct answer:

Explanation:

The midpoint of the line segment between two points 

 and 

is given by the formula

.

Thus, since the line segment is generated by 

 and 

applying the midpoint formula we have

 

as the midpoint.

Example Question #3 : Midpoint Of Line Segments

What is the midpoint between  and ?

Possible Answers:

Correct answer:

Explanation:

Step 1: Recall the midpoint Formula....

, where  is the first point and  is the second point

Step 2: Identify the points and their specific terms...

Step 3: Plug in the values into the midpoint formula...

Simplify...

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