Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Lines

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #101 : Lines

A side of a square is graphed onto a coordinate plane. The side has endpoints at $(-3, 1)\text{ and }(4, -1)$ . Find the length of the side of the square.

Possible Answers:

$\sqrt{53}$

$3\sqrt5$

Correct answer:

$\sqrt{53}$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

(x_1,y_1)=(-3,1) and (x_2,y_2)=(4,-1)

$\text{Distance}=\sqrt{(4-(-3))^2+(-1-1)^2}=\sqrt{49+4}=\sqrt{53}$

Report an Error

Example Question #102 : Lines

The side of a triangle is graphed onto a coordinate plane. The side has endpoints at $(2, 2)\text{ and }(1, -5)$ . Find the length of this side.

Possible Answers:

$5\sqrt2$

$4\sqrt{3}$

Correct answer:

$5\sqrt2$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

(x_1,y_1)=(2,2) and (x_2,y_2)=(1, -5) .

$\text{Distance}=\sqrt{(1-2)^2+(-5-2)^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt2$

Report an Error

Example Question #10 : Distance Formula

Find the length of a line segment that has endpoints at $(1, 2)\text{ and }(5, 1)$ .

Possible Answers:

$\sqrt{17}$

$\sqrt{15}$

Correct answer:

$\sqrt{17}$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

(x_1,y_1)=(1,2) and (x_2,y_2)=(5,1)

$\text{Distance}=\sqrt{(5-1)^2+(1-2)^2}=\sqrt{16+1}=\sqrt{17}$

Report an Error

Example Question #11 : Distance Formula

Find the length of a line segment that has endpoints at $\left(\frac{5}{2}, \frac{5}{2}\right)$ and $\left(4, \frac{4}{5}\right)$ .

Possible Answers:

5.14

4.19

2.27

3.78

Correct answer:

2.27

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

$(x_1,y_1)=\left(\frac{5}{2}, \frac{5}{2} \right )$ and $(x_2,y_2)=\left(4,\frac{4}{5} \right )$ .

$\text{Distance}=\sqrt{(4-\frac{5}{2})^2+(\frac{4}{5}-\frac{5}{2})^2}=\sqrt{\frac{9}{4}+\frac{289}{100}}=2.27$

Report an Error

Example Question #12 : Distance Formula

Find the distance of a line segment that has endpoints at $\left(\frac{1}{2}, 4\right)$ and $\left(\frac{3}{2}, 2\right)$ .

Possible Answers:

$\sqrt5$

$\sqrt3$

Correct answer:

$\sqrt5$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

$(x_1,y_1)=\left(\frac{1}{2}, 4 \right )$ and $(x_2,y_2)=\left(\frac{3}{2}, 2 \right )$ .

$\text{Distance}=\sqrt{(\frac{3}{2}-\frac{1}{2})^2+(2-4)^2}=\sqrt{1+4}=\sqrt{5}$

Report an Error

Example Question #13 : Distance Formula

Find the length of a line segment that has endpoints at $\left(\frac{1}{3}, 2\right)$ and $\left(\frac{4}{3}, 3\right)$ .

Possible Answers:

$2\sqrt2$

$\sqrt2$

Correct answer:

$\sqrt2$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

$(x_1,y_1)=\left(\frac{1}{3}, 2\right)$ and $(x_2,y_2)=\left(\frac{4}{3}, 3 \right )$ .

$\text{Distance}=\sqrt{(\frac{4}{3}-\frac{1}{3})^2+(3-2)^2}=\sqrt{1+1}=\sqrt2$

Report an Error

Example Question #14 : Distance Formula

Find the length of a line segment that has endpoints at $(2, 1)\text{ and }(-1, 0)$ .

Possible Answers:

$2\sqrt2$

$\sqrt{10}$

Correct answer:

$\sqrt{10}$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

(x_1,y_1)=(2,1) and (x_2,y_2)=(-1,0) .

$\text{Distance}=\sqrt{(-1-2)^2+(0-1)^2}=\sqrt{9+1}=\sqrt{10}$

Report an Error

Example Question #15 : Distance Formula

Find the length of a line segment that has endpoints at $(3, 1)\text{ and }(-2, -2)$ .

Possible Answers:

$4\sqrt3$

$\sqrt{34}$

Correct answer:

$\sqrt{34}$

Explanation:

Use the distance formula to find the length of the line segment.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

(x_1,y_1)=(3,1) and (x_2,y_2)=(-2,-2) .

$\text{Distance}=\sqrt{(-2-3)^2+(-2-1)^2}=\sqrt{25+9}=\sqrt{34}$

Report an Error

Example Question #16 : Distance Formula

If the two points on a line are $“\left(“\frac{1}{3}, \frac{1}{3}“\right)”$ and (2,4) , what is the approximate distance connecting the two points?

Possible Answers:

3.5

4.2

3.7

4.5

Correct answer:

Explanation:

Write the distance formula.

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Substitute the point values.

$d=\sqrt{\left( 4-\frac{1}{3}\right)^2+\left( 2-\frac{1}{3}\right)^2} = \sqrt{\left( \frac{11}{3}\right)^2+\left( \frac{5}{3}\right)^2}$

$d=\sqrt{13.\bar{4}+2.\bar{7}}= \sqrt{16.\bar{2}}= 4.027$

The approximated distance is 4.

Report an Error

Example Question #17 : Distance Formula

A segment on the coordinate plane whose endpoints are (A, A) and the origin has length 10. Calculate .

Possible Answers:

$A = \pm 5 \sqrt{3}$

$A = \pm 5$

$A = \pm 10 \sqrt{2}$

$A = \pm 5 \sqrt{2}$

$A = \pm 10$

Correct answer:

$A = \pm 5 \sqrt{2}$

Explanation:

The distance between two points $(x_{1}, x_{2})$ and $(y_{1}, y_{2})$ can be obtained using the formula

$d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}$

If we set $x_{1}= y_{1} = 0, x_{2}= y_{2} = A, d=10$ , we can solve for :

$10= \sqrt{\left (A-0 \right )^{2}+\left (A-0 \right )^{2}}$

$10= \sqrt{ A ^{2}+A ^{2}}$

$10= \sqrt{ 2A ^{2}}$

$10^{2}=\left ( \sqrt{ 2A ^{2}} \right )^{2}$

$100 = 2A^{2 }$

$100 \div 2 = 2A^{2 } \div 2$

$50 = A^{2}$

$A = \pm \sqrt{50 } = \pm \sqrt{25} \cdot \sqrt{2} = \pm 5 \sqrt{2}$

Report an Error

View SSAT- Upper Level Tutors

William
Certified Tutor

Brigham Young University-Provo, Bachelors, Zoology. Embry-Riddle Aeronautical University-Worldwide, Masters, Aeronautical Sci...

View SSAT- Upper Level Tutors

Joseph
Certified Tutor

CUNY College of Staten Island, Bachelor in Arts, Applied Psychology. New York University, Master of Arts, Applied Psychology.

View SSAT- Upper Level Tutors

Michael
Certified Tutor

Lynn University, Bachelor of Science, Finance.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in San Francisco-Bay Area, GMAT Tutors in Chicago, English Tutors in Houston, SSAT Tutors in Denver, Math Tutors in New York City, Spanish Tutors in Miami, LSAT Tutors in Miami, English Tutors in Atlanta, ACT Tutors in Houston, Statistics Tutors in Washington DC

Popular Courses & Classes

GRE Courses & Classes in Denver, GRE Courses & Classes in New York City, SAT Courses & Classes in Chicago, SAT Courses & Classes in Phoenix, Spanish Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Houston, ACT Courses & Classes in Miami, SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Seattle, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

GRE Test Prep in San Diego, LSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Chicago, MCAT Test Prep in Dallas Fort Worth, ACT Test Prep in Phoenix, ISEE Test Prep in New York City, ACT Test Prep in Miami, MCAT Test Prep in Los Angeles, SAT Test Prep in Chicago, GRE Test Prep in Denver

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

SSAT Upper Level Math : Lines

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #101 : Lines

Example Question #102 : Lines

Example Question #10 : Distance Formula

Example Question #11 : Distance Formula

Example Question #12 : Distance Formula

Example Question #13 : Distance Formula

Example Question #14 : Distance Formula

Example Question #15 : Distance Formula

Example Question #16 : Distance Formula

Example Question #17 : Distance Formula

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: