Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Midpoint Formula

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Midpoint Formula

Find the midpoint of the line segment that connects the following points:

$\small (-5,-3)\ and\ (3,7)$

Possible Answers:

$\small (-4,-5)$

$\small (-1,2)$

$\small (4,5)$

$\small (1,2)$

Correct answer:

$\small (-1,2)$

Explanation:

Use the midpoint formula:

$\small mid=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\small mid=(\frac{-5+3}{2},\frac{-3+7}{2})$

$\small mid=(\frac{-2}{2},\frac{4}{2})$

$\small mid=(-1,2)$

Report an Error

Example Question #2 : Midpoint Formula

You are given A (3,7) and B(7, -1) . is the midpoint of $\overline{AC}$ ; is the midpoint of $\overline{AD}$ . What are the coordinates of ?

Possible Answers:

(6,1)

(-11, 31)

(19, -25)

(4,5)

Correct answer:

(19, -25)

Explanation:

Repeated application of the midpoint formula $\left (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2} \right )$ yields the following:

Since is the midpoint of $\overline{AC}$ , substitute the coordinates of for $x_{1}$ and $y_{1}$ , set equal to the coordinates of , and solve as follows:

$7 = \frac{3+x_{2}}{2}$

$14 =3+x_{2}$

$x_{2} = 11$

$-1= \frac{7+y_{2}}{2}$

$-2= 7+y_{2}$

$-9= y_{2}$

is the point (11, -9) .

We can find the coordinates of similarly using those of and :

$11= \frac{3+x_{2}}{2}$

$22 = 3+x_{2}$

$19= x_{2}$

$-9= \frac{7+y_{2}}{2}$

$-18= 7+y_{2}$

$-25= y_{2}$

is the point (19, -25)

Report an Error

Example Question #3 : Midpoint Formula

You are given points A (8, 1) and D (1,9) . is the midpoint of $\overline{AD}$ , is the midpoint of $\overline{AC}$ , and is the midpoint of $\overline{BD}$ . Give the coordinates of .

Possible Answers:

$\left ( 7.625, 2\right )$

(2.125,8)

(3.625, 6)

(5.375, 4)

Correct answer:

(3.625, 6)

Explanation:

Repeated application of the midpoint formula, $\left (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2} \right )$ , yields the following:

is the point (8,1) and is the point $\left (1, 9 \right )$ . is the midpoint of $\overline{AD}$ , so has coordinates

$\left (\frac{8+1}{2}, \frac{1+9}{2} \right )$ , or $\left ( 4.5, 5\right )$ .

is the midpoint of $\overline{AC}$ , so has coordinates

$\left (\frac{8+4.5}{2}, \frac{1+5}{2} \right )$ , or (6.25, 3) .

is the midpoint of $\overline{BD}$ , so has coordinates

$\left (\frac{6.25+1}{2}, \frac{3+9}{2} \right )$ , or (3.625, 6) .

Report an Error

Example Question #3 : Midpoint Formula

What is the midpoint between (2,6) and (1 ,-9) ?

Possible Answers:

$(-\frac{1}{2}, -\frac{15}{2})$

$(\frac{3}{2}, -\frac{3}{2})$

$(\frac{3}{2}, -\frac{15}{2})$

$(-\frac{3}{2}, -\frac{3}{2})$

$(\frac{1}{2}, -\frac{15}{2})$

Correct answer:

$(\frac{3}{2}, -\frac{3}{2})$

Explanation:

Write the formula to find the midpoint.

$M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substitute the points into the equation.

$M = (\frac{2+1}{2}, \frac{6+(-9)}{2})$

The midpoint is located at: $(\frac{3}{2}, -\frac{3}{2})$

The answer is: $(\frac{3}{2}, -\frac{3}{2})$

Report an Error

Example Question #4 : Midpoint Formula

Find the midpoint of (1,7) and (-2,-6) .

Possible Answers:

$(-\frac{1}{2}, \frac{1}{2})$

$(-\frac{3}{2}, \frac{13}{2})$

$(-\frac{3}{2}, \frac{1}{2})$

(-1,1)

(3,13)

Correct answer:

$(-\frac{1}{2}, \frac{1}{2})$

Explanation:

Write the formula for the midpoint.

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Substitute the points.

$M=(\frac{1+(-2)}{2},\frac{7+(-6)}{2}) = (\frac{-1}{2}, \frac{1}{2})$

The answer is: $(-\frac{1}{2}, \frac{1}{2})$

Report an Error

Example Question #3 : Midpoint Formula

What is the midpoint between (4,5) and (-7,10) ?

Possible Answers:

(5.5,7.5)

(11,15)

(5.5,15)

(-1.5,7.5)

(-3,15)

Correct answer:

(-1.5,7.5)

Explanation:

Recall that the general formula for the midpoint between two points is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Think of this like being the "average" of your two points.

Based on your data, you know that your midpoint could be calculated as follows:

$(\frac{4-7}{2},\frac{5+10}{2})=(\frac{-3}{2},\frac{15}{2})$

This is the same as:

(-1.5,7.5)

Report an Error

Example Question #3 : Midpoint Formula

What is the midpoint between the points (-10,4) and (-22,-4) ?

Possible Answers:

(-32,-8)

(-32,0)

(16,8)

(-16,0)

(-16,-4)

Correct answer:

(-16,0)

Explanation:

Recall that the general formula for the midpoint between two points is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Think of this like being the "average" of your two points.

Based on your data, you know that your midpoint could be calculated as follows:

$(\frac{-10-22}{2},\frac{4-4}{2})=(\frac{-32}{2},\frac{0}{2})$

This is the same as:

(-16,0)

Report an Error

Example Question #5 : Midpoint Formula

(0,5) is the midpoint between (84,1) and some other point. What is that point?

Possible Answers:

(42,4)

(-84,9)

(-84,10)

(-42,4)

(84,10)

Correct answer:

(-84,9)

Explanation:

Recall that the general formula for the midpoint between two points is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Think of this like being the "average" of your two points.

Now, you can write your data out as follows, as you know the midpoint value as well as one of the values for your end points:

$(0,5)=(\frac{84+x_2}{2},\frac{1+y_2}{2})$

To finish solving, think of it like two different equations:

$\frac{84+x_2}{2}=0$

and

$\frac{1+y_2}{2}=5$

Now, solve each for the respective values:

84+x_2=0

x_2=-84

and

1+y_2=10

y_2=9

Therefore, your other point is (x_2,y_2) or (-84,9)

Report an Error

Example Question #6 : Midpoint Formula

(-10,-22) is the midpoint between (-2,-7) and some other point. What is that point?

Possible Answers:

(-5,55)

(-16,-25)

(-18,-37)

(-18,-44)

(-12,-29)

Correct answer:

(-18,-37)

Explanation:

Recall that the general formula for the midpoint between two points is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Think of this like being the "average" of your two points.

Now, you can write your data out as follows, as you know the midpoint value as well as one of the values for your end points:

$(-10,-22)=(\frac{-2+x_2}{2},\frac{-7+y_2}{2})$

To finish solving, think of it like two different equations:

$\frac{-2+x_2}{2}=-10$

and

$\frac{-7+y_2}{2}=-22$

Now, solve each for the respective values:

-2+x_2=-20

x_2=-18

and

-7+y_2=-44

y_2=-37

Therefore, your other point is (x_2,y_2) or (-18,-37)

Report an Error

Example Question #4 : Midpoint Formula

Find the midpoint of the following points:

(8,2)

(10,4)

Possible Answers:

(9,4)

(2,2)

(9,3)

(10,3)

(18,6)

Correct answer:

(9,3)

Explanation:

To find the midpoint between two points, we will use the following formula:

$M = (\frac{x_1 +x_2}{2}, \frac{y_1 +y_2}{2})$

where (x_1,x_2) and (y_1,y_2) are the given points.

So, given the points

(8,2) and (10,4) , we can substitute into the formula. We get

$M = (\frac{8+10}{2}, \frac{2+4}{2})$

$M = (\frac{18}{2}, \frac{6}{2})$

M = (9,3)

Report an Error

View Tutors

Grace
Certified Tutor

University of Massachusetts-Dartmouth, Bachelor of Education, Portuguese. University of Massachusetts-Dartmouth, Masters in B...

View Tutors

James
Certified Tutor

St. Mary of the Plains College, Bachelors, Mathematics. Baker University, Masters, Business Administration and Management.

View Tutors

Constance
Certified Tutor

Loyola University-Chicago, Bachelors, Psychology. Sam Houston State University, Masters, Counseling Psychology.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Houston, French Tutors in Chicago, Spanish Tutors in Philadelphia, LSAT Tutors in San Diego, Chemistry Tutors in Seattle, Chemistry Tutors in Chicago, ISEE Tutors in Denver, GMAT Tutors in Los Angeles, GMAT Tutors in San Francisco-Bay Area, Statistics Tutors in San Diego

Popular Courses & Classes

ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in Boston, MCAT Courses & Classes in Miami, Spanish Courses & Classes in Los Angeles, GRE Courses & Classes in Los Angeles, SAT Courses & Classes in Houston, SSAT Courses & Classes in Houston, LSAT Courses & Classes in Phoenix, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in San Diego, MCAT Test Prep in Chicago, MCAT Test Prep in Houston, ISEE Test Prep in Dallas Fort Worth, ISEE Test Prep in San Francisco-Bay Area, MCAT Test Prep in Phoenix, ISEE Test Prep in Washington DC, LSAT Test Prep in Atlanta, ACT Test Prep in Boston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

GED Math : Midpoint Formula

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Midpoint Formula

Example Question #2 : Midpoint Formula

Example Question #3 : Midpoint Formula

Example Question #3 : Midpoint Formula

Example Question #4 : Midpoint Formula

Example Question #3 : Midpoint Formula

Example Question #3 : Midpoint Formula

Example Question #5 : Midpoint Formula

Example Question #6 : Midpoint Formula

Example Question #4 : Midpoint Formula

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: