Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : GED Math

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 #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:

(2.125,8)

$\left ( 7.625, 2\right )$

(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 #813 : Geometry And Graphs

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:

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

(-1,1)

(3,13)

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

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

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 #103 : Coordinate Geometry

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

Possible Answers:

(5.5,7.5)

(-1.5,7.5)

(11,15)

(-3,15)

(5.5,15)

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 #104 : Coordinate Geometry

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

Possible Answers:

(16,8)

(-16,-4)

(-16,0)

(-32,-8)

(-32,0)

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)

(84,10)

(-84,9)

(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 #1 : Midpoint Formula

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

Possible Answers:

(-5,55)

(-18,-37)

(-12,-29)

(-16,-25)

(-18,-44)

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 #7 : Midpoint Formula

Find the midpoint of the following points:

(8,2)

(10,4)

Possible Answers:

(9,4)

(18,6)

(10,3)

(2,2)

(9,3)

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

Example Question #11 : Midpoint Formula

Find the midpoint given the following points:

(9,1) and (1, 2)

Possible Answers:

(8, 1.5)

(8,1)

(10,3)

(5,2)

(5, 1.5)

Correct answer:

(5, 1.5)

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 (9,1) and (1, 2) , we can substitute. We get

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

$M = (\frac{10}{2}, \frac{3}{2})$

M = (5, 1.5)

Report an Error

Example Question #111 : Coordinate Geometry

The midpoint of a line with endpoints at (3, 5) and (-5, y) is (-2, 12) . Find the value of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the midpoint of a line:

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

Since we are only worried about the -coordinate, we can write the following equation:

$\frac{5+y}{2}=12$

Solve for .

5+y=24

y=19

Report an Error

View Tutors

Owen E
Certified Tutor

University of Kansas, Bachelors, English. University of Kansas, Masters, TESOL.

View Tutors

Jody
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Mathematics.

View Tutors

Ridvan
Certified Tutor

Missouri University of Science and Technology, Bachelor of Science, Civil Engineering. University of Oklahoma Norman Campus, ...

All GED Math Resources

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

Popular Subjects

LSAT Tutors in Houston, GRE Tutors in Washington DC, ISEE Tutors in Philadelphia, Computer Science Tutors in Boston, Computer Science Tutors in Washington DC, Calculus Tutors in San Diego, GRE Tutors in New York City, SSAT Tutors in San Diego, GMAT Tutors in Boston, ACT Tutors in New York City

Popular Courses & Classes

ISEE Courses & Classes in Chicago, ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in New York City, SSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Miami, ISEE Courses & Classes in Boston, GMAT Courses & Classes in Chicago, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Seattle

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in New York City, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Philadelphia, SAT Test Prep in Seattle, ACT Test Prep in San Diego, SAT Test Prep in Los Angeles, MCAT Test Prep in New York City, ISEE Test Prep in Houston

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 : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #3 : Midpoint Formula

Example Question #813 : Geometry And Graphs

Example Question #4 : Midpoint Formula

Example Question #103 : Coordinate Geometry

Example Question #104 : Coordinate Geometry

Example Question #5 : Midpoint Formula

Example Question #1 : Midpoint Formula

Example Question #7 : Midpoint Formula

Example Question #11 : Midpoint Formula

Example Question #111 : Coordinate Geometry

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: