### All SAT Math Resources

## 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)

The correct answer is (6, 6). The midpoint formula is ((x_{1 }+ x_{2})/2),((y_{1 }+ y_{2})/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)

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

= ((–1 + 3)/2, (2 – 6)/2)

= (2/2, –4/2)

= (1,–2)

### Example Question #5 : Midpoint Formula

A line segment connects the points and . What is the midpoint of this segment?

**Possible Answers:**

**Correct answer:**

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

Plug in the given values for the endpoints of the segment: and .

### Example Question #6 : Midpoint Formula

What is the midpoint between and ?

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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:**

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:**

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:**

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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