HiSET: Math : Midpoint of line segments

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Properties Of Lines

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:


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


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 #92 : Measurement And Geometry

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

Possible Answers:

Correct answer:


The midpoint of the line segment between two points 


is given by the formula


Thus, since the line segment is generated by 


applying the midpoint formula we have


as the midpoint.

Example Question #1 : Midpoint Of Line Segments

What is the midpoint between  and ?

Possible Answers:

Correct answer:


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...


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