Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Coordinate Geometry

A line with endpoints of (20, 2) and (j, k) has a midpoint of (7, 4) . What are the coordinates of the unknown endpoint?

Possible Answers:

(-6, 6)

(6, -6)

(-8, 8)

(-6 ,8)

Correct answer:

(-6, 6)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{20+j}{2}=7$

20+j=14

j=-6

Now, let's solve for the coordinate.

$\frac{k+2}{2}=4$

k+2=8

k=6

The coordinate for the other endpoint must be (-6, 6) .

Report an Error

Example Question #31 : Midpoint Formula

A line with endpoints (5, 5) and (l, m) has a midpoint of (-1, 1) . What are the coordinates of the unknown endpoint?

Possible Answers:

(6, 1)

(1, 10)

(-5, -2)

(-7, -3)

Correct answer:

(-7, -3)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{5+l}{2}=-1$

5+l=-2

l=-7

Now, let's solve for the coordinate.

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

m+5=2

m=-3

The coordinate for the other endpoint must be (-7, -3) .

Report an Error

Example Question #32 : Midpoint Formula

A line with endpoints of (12, -10) and (x, y) has a midpoint of (6, 2) . What are the coordinates of the unknown endpoint?

Possible Answers:

(8, 0)

(0, 14)

(15, 1)

(12, 2)

Correct answer:

(0, 14)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{12+x}{2}=6$

12+x=12

x=0

Now, let's solve for the coordinate.

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

-10+y=4

y=14

The coordinate for the other endpoint must be (0, 14) .

Report an Error

Example Question #33 : Midpoint Formula

A line with endpoints of (-3, 5) and (x, y) has a midpoint of (6, 1) . What are the coordinates of the unknown endpoint?

Possible Answers:

(14, -2)

(16, 2)

(15, -3)

(3, 18)

Correct answer:

(15, -3)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{-3+x}{2}=6$

-3+x=12

x=15

Now, let's solve for the coordinate.

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

5+y=2

y=-3

The coordinate for the other endpoint must be (15, -3) .

Report an Error

Example Question #34 : Midpoint Formula

A line with endpoints of (4, -4) and (x, y) has a midpoint of (8, 8) . What are the coordinates of the unknown endpoint?

Possible Answers:

(12, 20)

(16, 20)

(13, 20)

(15, 20)

Correct answer:

(12, 20)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{4+x}{2}=8$

4+x=16

x=12

Now, let's solve for the coordinate.

$\frac{-4+y}{2}=8$

-4+y=16

y=20

The coordinate for the other endpoint must be (12, 20) .

Report an Error

Example Question #11 : How To Find The Endpoints Of A Line Segment

A line with endpoints of (-2, -9) and (x, y) has a midpoint of (-2, 6) . What are the coordinates of the unknown endpoint?

Possible Answers:

(2, -16)

(2, -20)

(-2, 21)

(-2, 14)

Correct answer:

(-2, 21)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{-2+x}{2}=-2$

-2+x=-4

x=-2

Now, let's solve for the coordinate.

$\frac{-9+y}{2}=6$

-9+y=12

y=21

The coordinate for the other endpoint must be (-2, 21) .

Report an Error

Example Question #12 : How To Find The Endpoints Of A Line Segment

A line with endpoints of (-8, 2) and (x, y) has a midpoint of (3, 5) . What are the coordinates of the unknown endpoint?

Possible Answers:

(9, 15)

(16, 2)

(14, 8)

(15, 2)

Correct answer:

(14, 8)

Explanation:

Recall how to find the midpoint of a line:

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

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

$\frac{-8+x}{2}=3$

-8+x=6

x=14

Now, let's solve for the coordinate.

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

2+y=10

y=8

The coordinate for the other endpoint must be (14, 8) .

Report an Error

Example Question #13 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at (-3, 1) and a midpoint at (2, -10) . Find the coordinates of the other endpoint.

Possible Answers:

(12, 4)

(9, -19)

(7, -21)

(-3, -10)

Correct answer:

(7, -21)

Explanation:

Recall how to find the midpoint of a line segment:

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

where $(x_1, y_1)\text{ and}(y_1, y_2)$ are the endpoints.

Let's first focus on the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{-3+x_2}{2}=2$

Solve for x_2 .

-3+x_2=4

x_2=7

Next, find the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{1+y_2}{2}=-10$

1+y_2=-20

y_2=-21

The second endpoint must be at (7, -21) .

Report an Error

Example Question #14 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at (5, 7) and a midpoint at (-12, 20) . Find the coordinates of the other midpoint.

Possible Answers:

(-29, 33)

(-27, 40)

(-22, 21)

(-25, 40)

Correct answer:

(-29, 33)

Explanation:

Recall how to find the midpoint of a line segment:

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

where $(x_1, y_1)\text{ and}(y_1, y_2)$ are the endpoints.

Let's first focus on the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{5+x_2}{2}=-12$

Solve for x_2 .

5+x_2=-24

x_2=-29

Next, find the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{7+y_2}{2}=20$

7+y_2=40

y_2=33

The second endpoint must be at (-29, 33) .

Report an Error

Example Question #41 : Coordinate Geometry

A line segment has an endpoint at (11, -2) and a midpoint at (5, 0) . Find the coordinates of the other endpoint.

Possible Answers:

(2, 1)

(-1, 0)

(-1, 2)

(3, -2)

Correct answer:

(-1, 2)

Explanation:

Recall how to find the midpoint of a line segment:

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

where $(x_1, y_1)\text{ and}(y_1, y_2)$ are the endpoints.

Let's first focus on the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{11+x_2}{2}=5$

Solve for x_2 .

11+x_2=10

x_2=-1

Next, find the coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

$\frac{-2+y_2}{2}=0$

-2+y_2=0

y_2=2

The second endpoint must be at (-1, 2) .

Report an Error

View Tutors

Yewande
Certified Tutor

Ryerson University, Master of Laws, Prelaw Studies.

View Tutors

Kinnedi
Certified Tutor

North America Montessori, Associate, Education.

View Tutors

Allison
Certified Tutor

Asbury University, Bachelor of Education, Mathematics Teacher Education.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in New York City, Computer Science Tutors in Boston, Physics Tutors in Boston, Reading Tutors in Dallas Fort Worth, Chemistry Tutors in Boston, English Tutors in Chicago, Statistics Tutors in San Francisco-Bay Area, Spanish Tutors in Atlanta, Math Tutors in Phoenix, Biology Tutors in Seattle

Popular Courses & Classes

ACT Courses & Classes in San Diego, GMAT Courses & Classes in Chicago, GMAT Courses & Classes in New York City, SSAT Courses & Classes in Chicago, LSAT Courses & Classes in New York City, LSAT Courses & Classes in Denver, Spanish Courses & Classes in Chicago, ISEE Courses & Classes in Washington DC, Spanish Courses & Classes in Denver, GRE Courses & Classes in Washington DC

Popular Test Prep

GMAT Test Prep in Chicago, GRE Test Prep in Denver, MCAT Test Prep in Boston, LSAT Test Prep in Denver, SAT Test Prep in Phoenix, SAT Test Prep in Atlanta, ACT Test Prep in Houston, MCAT Test Prep in Chicago, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Chicago

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

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #31 : Coordinate Geometry

Example Question #31 : Midpoint Formula

Example Question #32 : Midpoint Formula

Example Question #33 : Midpoint Formula

Example Question #34 : Midpoint Formula

Example Question #11 : How To Find The Endpoints Of A Line Segment

Example Question #12 : How To Find The Endpoints Of A Line Segment

Example Question #13 : How To Find The Endpoints Of A Line Segment

Example Question #14 : How To Find The Endpoints Of A Line Segment

Example Question #41 : Coordinate Geometry

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: