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 #1791 : Ged Math

Find the point halfway between the two following points:

(12,34) (18,64)

Possible Answers:

(14,48)

(-15,49)

(49,15)

(15,49)

Correct answer:

(15,49)

Explanation:

Find the point halfway between the two following points:

(12,34) (18,64)

We need to use the midpoint formula. To do so, we are basically averaging out our x and y values separately.

$x_{mid}=\frac{x_1+x_2}{2}$

$y_{mid}=\frac{y_1+y_2}{2}$

So, plug in our values to solve:

$x_{mid}=\frac{12+18}{2}=15$

$y_{mid}=\frac{34+64}{2}=49$

So, our answer is (15,49)

Report an Error

Example Question #112 : Coordinate Geometry

If (4, 14) is the midpoint of a line that has endpoints at (-2, -2) and (10, y) , find the value of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the midpoint of a line when given two points:

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

Since the y-coordinate of the midpoint is , we can write the following equation:

$14=\frac{-2+y}{2}$

Solve for .

-2+y=28

y=30

Report an Error

Example Question #821 : Geometry And Graphs

Find the point midway between the following two points.

(99,45) (54,32)

Possible Answers:

(38.5,76.5)

(76.5,38.5)

(67.5,24.5)

(46.2,45,5)

Correct answer:

(38.5,76.5)

Explanation:

Find the point midway between the following two points.

(99,45) (54,32)

To find the midpoint, we need to essentially average our x and y values separately.

$x_m=\frac{x_1+x_2}{2}=\frac{54+99}{2}=\frac{153}{2}=76.5$

$y_m=\frac{y_1+y_2}{2}=\frac{45+32}{2}=\frac{77}{2}=38.5$

So, our answer is

(38.5,76.5)

Report an Error

Example Question #114 : Coordinate Geometry

The midpoint of a line segment on the coordinate plane is located at (3, 9) ; one endpoint is located at the origin. Where is the other endpoint?

Possible Answers:

(6, 18)

(1.5, 4.5)

(-3, -9 )

(9, 3)

Correct answer:

(6, 18)

Explanation:

The midpoint of a line segment with its endpoints at $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is at the point $(x_{M}, y_{M})$ , where

$x_{M} = \frac{ x_{1} + x_{2}}{2}$ and $y_{M} = \frac{ y_{1} + y_{2}}{2}$ .

The midpoint and one endpoint are given, so first, find the -coordinate of the second endpoint by setting $x_{M} =3$ and $x_{2} =0$ , and solving for $x_{1}$ :

$3 = \frac{ x_{1} +0}{2}$

$3 = \frac{ x_{1} }{2}$

Isolate $x_{1 }$ by multiplying both sides by 2:

$3 \cdot 2 = \frac{ x_{1} }{2} \cdot 2$

$6 = x_{1}$

Find the -coordinate of the second endpoint similarly, setting $y_{M} =9$ and $y_{2} =0$ :

$9 = \frac{ y_{1} +0}{2}$

$9 = \frac{ y_{1} }{2}$

$9 \cdot 2 = \frac{ y_{1} }{2} \cdot 2$

$18 = y_{1}$

The second endpoint of the segment is at (6, 18) .

Report an Error

Example Question #111 : Coordinate Geometry

A line on a coordinate graph has endpoints at (4, 5) and (-10, 2) . What is the midpoint of the line?

Possible Answers:

$(3, -\frac{5}{2})$

$(-3, \frac{7}{2})$

$(-7, \frac{3}{2})$

$(3, \frac{7}{2})$

Correct answer:

$(-3, \frac{7}{2})$

Explanation:

Recall how to find the midpoint of a line when given two endpoints:

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

Plug in the given points to find the midpoint.

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

The midpoint of the line is located at $(-3, \frac{7}{2})$ .

Report an Error

Example Question #116 : Coordinate Geometry

The midpoint of a line that passes through the points (5, 1) and (x, y) is (4, -2) . Find the coordinates of the point (x, y) .

Possible Answers:

(2, -6)

(3, -5)

(-5, 3)

(-5, -3)

Correct answer:

(3, -5)

Explanation:

Recall how to find the midpoint of a line:

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

Start by finding the x-coordinate.

$\frac{5+x}{2}=4$

5+x=8

x=3

Next, find the y-coordinate.

$\frac{1+y}{2}=-2$

1+y=-4

y=-5

The coordinates for the second endpoint is (3, -5)

Report an Error

Example Question #113 : Coordinate Geometry

If the midpoint of a line with one endpoint at (5, 1) is (12, -10) , what are the coordinates for the other endpoint?

Possible Answers:

(20, 21)

(19, -21)

(-19, -21)

(9, -10)

Correct answer:

(19, -21)

Explanation:

Recall how to find the midpoint of a line segment:

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

Start by finding the x-coordinate of the other endpoint.

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

5+x=24

x=19

Next, find the y-coordinate of the other endpoint.

$-10=\frac{1+y}{2}$

1+y=-20

y=-21

The other endpoint must be (19, -21) .

Report an Error

Example Question #121 : Coordinate Geometry

The two endpoints of a line segment are (1,4) and (5,10) . Find the midpoint of the line segment.

Possible Answers:

(1,4)

(3,7)

(7,3)

(5,5)

(4,6)

Correct answer:

(3,7)

Explanation:

To find the midpoint of a line, you basically have to average the two values and average the two values. In other words, you have to add the two values and then divide by , and add the two values and then divide by . The standard equation for the midpoint formula is $((x_{1} + x_{2}) / 2, (y_{1} + y_{2}) / 2)$ .

The two values are and , and (1+5)/2=3 , so the coordinate of your midpoint is . The two values are and , and (4+10)/2 = 7 , so the coordinate of your midpoint is .

Therefore, the midpoint is (3,7) .

Report an Error

Example Question #21 : Midpoint Formula

Find the midpoint of the line connecting and .

Possible Answers:

(202,24)

(202,41)

(211,41)

(222,42)

Correct answer:

(211,41)

Explanation:

Find the midpoint of the line connecting and .

To find the midpoint, we will essentially average out our x and y values independently.

What this will look like is:

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

So, all we need to do is find the average of each of our dimensions and we are set.

$(x_m,y_m)=(\frac{9+413}{2},\frac{17+65}{2})=(\frac{422}{2},\frac{82}{2})=(211,41)$

So, our answer is:

(211,41)

Report an Error

Example Question #22 : Midpoint Formula

A line with endpoints (1, 4) and (a, b) has a midpoint at (5, 12) . What is the value of a+b ?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the midpoint of a segment:

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

Solve for :

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

a+1=10

a=9

Solve for :

$\frac{b+4}{2}=12$

b+4=24

b=20

Thus, a+b=9+20=29

Report an Error

View Tutors

Christine
Certified Tutor

North Carolina State University at Raleigh, Bachelor of Science, Mathematics Teacher Education.

View Tutors

Meagan
Certified Tutor

Walden University, Doctor of Education, Education.

View Tutors

Cheryl
Certified Tutor

Drew University, Bachelor in Arts, Psychology. Kean University, Master of Arts, Educational Psychology.

All GED Math Resources

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

Popular Subjects

SAT Tutors in San Francisco-Bay Area, SAT Tutors in Boston, Algebra Tutors in San Diego, ISEE Tutors in Miami, GRE Tutors in Chicago, GRE Tutors in Miami, Chemistry Tutors in Houston, Physics Tutors in Miami, French Tutors in New York City, MCAT Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in Chicago, SAT Courses & Classes in San Diego, LSAT Courses & Classes in Washington DC, GRE Courses & Classes in Houston, SSAT Courses & Classes in New York City, GRE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Denver, ISEE Courses & Classes in Phoenix, Spanish Courses & Classes in Boston, ACT Courses & Classes in Los Angeles

Popular Test Prep

SAT Test Prep in Philadelphia, SAT Test Prep in San Diego, ACT Test Prep in Houston, GMAT Test Prep in Chicago, GMAT Test Prep in San Diego, ISEE Test Prep in Los Angeles, SAT Test Prep in Denver, ACT Test Prep in Denver, GMAT Test Prep in Denver, SSAT Test Prep in Washington DC

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 #1791 : Ged Math

Example Question #112 : Coordinate Geometry

Example Question #821 : Geometry And Graphs

Example Question #114 : Coordinate Geometry

Example Question #111 : Coordinate Geometry

Example Question #116 : Coordinate Geometry

Example Question #113 : Coordinate Geometry

Example Question #121 : Coordinate Geometry

Example Question #21 : Midpoint Formula

Example Question #22 : Midpoint Formula

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: