Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : How to find the midpoint of a line segment

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Midpoint Formula

A line segment has endpoints (0,4) and (5,6). What are the coordinates of the midpoint?

Possible Answers:

(0,6)

(2.5,-5)

(3,9)

(2.5,5)

(0,4)

Correct answer:

(2.5,5)

Explanation:

A line segment has endpoints (0,4) and (5,6). To find the midpoint, use the midpoint formula:

X: (x₁+x₂)/2 = (0+5)/2 = 2.5

Y: (y₁+y₂)/2 = (4+6)/2 = 5

The coordinates of the midpoint are (2.5,5).

Report an Error

Example Question #81 : Coordinate Geometry

Find the midpoint between (-3,7) and (5,-9)

Possible Answers:

(4,-8)

(1,-1)

(1,-8)

(4,-1)

(-1,-1)

Correct answer:

(1,-1)

Explanation:

You can find the midpoint of each coordinate by averaging them. In other words, add the two x coordinates together and divide by 2 and add the two y coordinates together and divide by 2.

x-midpoint = (-3 + 5)/2 = 2/2 = 1

y-midpoint = (7 + -9)/2 = -2/2 = -1

(1,-1)

Report an Error

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

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

Possible Answers:

(5, 5)

(6, 5)

(7, 7)

(6, 6)

(5, 6)

Correct answer:

(6, 6)

Explanation:

The correct answer is (6, 6). The midpoint formula is ((x₁+ x₂)/2),((y₁+ y₂)/2) So 1 + 11 = 12, and 12/2 = 6 for both the x and y coordinates.

Report an Error

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

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

Possible Answers:

(1,2)

(3,1)

(1,–2)

(–1,2)

(–2,–1)

Correct answer:

(1,–2)

Explanation:

midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

= ((–1 + 3)/2, (2 – 6)/2)

= (2/2, –4/2)

= (1,–2)

Report an Error

Example Question #1 : Midpoint Formula

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

Possible Answers:

$(-1,6)$

$(2,5)$

$(0,6)$

$(1,10)$

$(2,10)$

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 $(3,16)$ .

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

Report an Error

Example Question #2 : Midpoint Formula

What is the midpoint between (1,4) and (5,12) ?

Possible Answers:

(3,8)

(8,2)

(3,6)

(4,8)

(2,10)

Correct answer:

(3,8)

Explanation:

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

$(\frac{1+5}{2},\frac{4+12}{2})=(\frac{6}{2},\frac{16}{2})=(3,8)$

Report an Error

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

$\overline{AB}$ has endpoints A(4,1) and B(7,12) .

What is the midpoint of $\overline{AB}$ ?

Possible Answers:

(6.5,5.5)

(4,12)

(6,5)

(5.5, 6.5)

(5,6)

Correct answer:

(5.5, 6.5)

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:

4+7=11

$11\div 2=5.5$

Sum the y-coordinates and divide by 2:

1+12=13

$13\div 2=6.5$

Therefore the midpoint is (5.5, 6.5).

Report an Error

View PSAT Mathematics Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

View PSAT Mathematics Tutors

Paul
Certified Tutor

University of Phoenix-Albuquerque Campus, Bachelor of Science, Computer and Information Systems Security.

View PSAT Mathematics Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Seattle, Chemistry Tutors in San Diego, Statistics Tutors in Los Angeles, Spanish Tutors in Boston, MCAT Tutors in San Diego, Algebra Tutors in San Diego, Reading Tutors in Denver, Algebra Tutors in Denver, Biology Tutors in Miami, SSAT Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, LSAT Courses & Classes in Seattle, MCAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Seattle, GMAT Courses & Classes in Boston, GRE Courses & Classes in Washington DC, SSAT Courses & Classes in New York City, Spanish Courses & Classes in Atlanta, SAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Atlanta

Popular Test Prep

GRE Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Houston, ACT Test Prep in Seattle, ISEE Test Prep in Los Angeles, ACT Test Prep in Atlanta, LSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Atlanta, LSAT Test Prep in Phoenix, GMAT Test Prep in Phoenix

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

PSAT Math : How to find the midpoint of a line segment

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1 : Midpoint Formula

Example Question #81 : Coordinate Geometry

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

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

Example Question #1 : Midpoint Formula

Example Question #2 : Midpoint Formula

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

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: