SAT Math : Lines

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #3 : Midpoint Formula

Find the coordinates for the midpoint of the line segment that spans from (1, 1) to (11, 11).

Possible Answers:

(7, 7) 

(5, 6)

(5, 5)

(6, 5) 

(6, 6)

Correct answer:

(6, 6)

Explanation:

The correct answer is (6, 6). The midpoint formula is ((x+ x2)/2),((y+ y2)/2) So 1 + 11 = 12, and 12/2 = 6 for both the x and y coordinates.

Example Question #4 : Midpoint Formula

What is the midpoint between the points (–1, 2) and (3, –6)?

Possible Answers:

(3,1)

(1,2)

(–1,2)

(–2,–1)

(1,–2)

Correct answer:

(1,–2)

Explanation:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

             = ((–1 + 3)/2, (2 – 6)/2)

             = (2/2, –4/2)

             = (1,–2)

Example Question #5 : Midpoint Formula

A line segment connects the points (-1,4) and (3,16). What is the midpoint of this segment?

Possible Answers:

(2,5)

(0,6)

(2,10)

(-1,6)

(1,10)

Correct answer:

(1,10)

Explanation:

To solve this problem you will need to use the midpoint formula:

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

Plug in the given values for the endpoints of the segment: (-1,4) and (3,16).

midpoint = (\frac{-1+3}{2},\frac{4+16}{2} ) = (\frac{2}{2}, \frac{20}{2}) = (1, 10)

Example Question #6 : Midpoint Formula

What is the midpoint between  and ?

Possible Answers:

Correct answer:

Explanation:

The midpoint is the point halfway between the two endpoints, so sum up the coordinates and divide by 2:

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

 has endpoints  and

What is the midpoint of

Possible Answers:

Correct answer:

Explanation:

The midpoint is simply the point halfway between the x-coordinates and halfway between the y-coordinates: 

Sum the x-coordinates and divide by 2:

Sum the y-coordinates and divide by 2:

Therefore the midpoint is (5.5, 6.5).

 

 

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

What is the mid point of a linear line segment that spans from  to ?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line segment, use this formula:

Therefore, the midpoint of the given line segment is:

Example Question #3 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with endpoints (1,3) and (5,7).

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the midpoint formula as outlined below.

Given,

Thus,

Example Question #4 : How To Find The Midpoint Of A Line Segment

Find the midpoint of a line segment with end points (1,3) and (11,3).

Possible Answers:

Correct answer:

Explanation:

To solve, simply realize you are on a horizantal line, so you just need to find the distance betweent he two x coordants and find half way between them. Thus,

Thus, the midpoint is at (1+5,3) which is (6,3).

Example Question #11 : Midpoint Formula

What is the midpoint of a line segment that begins at (0, -1) and ends at (4, 10)? 

Possible Answers:

None of the given answers. 

Correct answer:

Explanation:

The midpoint of a line segment can be found by averaging the x-values and y-values of the given ordered pairs. In other words,

.

Take the average of the given x- and y-values of our ordered pairs.

Example Question #12 : Midpoint Formula

Find the midpoint between the point  and the center of the given circle.

Possible Answers:

None of the given answers

Correct answer:

Explanation:

Remember that the general equation for a circle with center  and radius  is 

With this in mind, the center of our circle is 

To find the midpoint between our two points, use the midpoint formula. 

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