Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Lines

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

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Lines

Lines

Figure NOT drawn to scale.

AE = 80, AB = x, BC = x + 4, CD = 2x+1, DE = x-6

Evaluate .

Possible Answers:

13.8

16.2

17.8

15.2

12.8

Correct answer:

16.2

Explanation:

By the Segment Addition Postulate,

AB + BC + CD + DE = AE

x + (x+4) + (2x+1) + (x-6) = 80

5x-1= 80

5x-1+1 = 80+1

5x = 81

$5x \div 5 = 81 \div 5$

x = 16.2

AB = x = 16.2

Report an Error

Example Question #1 : How To Find Length Of A Line

A right triangle has one leg with a length of 6 feet and a hypotenuse of 10 feet. What is the length of the other leg?

Possible Answers:

$8\ \text{ft}$

$6\ \text{ft}$

$5\ \text{ft}$

$10\ \text{ft}$

$4\ \text{ft}$

Correct answer:

$8\ \text{ft}$

Explanation:

In geometry, a right angle triangle can occur with the ratio of 3:4:5 in which 3 and 4 are each leg lengths, and 5 is the hypotenuse.

When you know the length of two sides of a right angle triangle like this, you can calculate the third side using this ratio.

Here, the ratio is:

6:x:10

This is double the 3:4:5 ratio. Therefore, we should multiply 4 by 2 in order to solve for the missing leg, which would be a value of 8 feet.

Another way to solve is to use the Pythagorean Theorem: a^2+b^2=c^2 .

We know that one leg is 6 feet and the hypotenuse is 10 feet.

(6)^2+b^2=(10)^2

36+b^2=100

b^2=64

$b=\sqrt{64}=8$

Report an Error

Example Question #2 : Lines

The radius of a circle is 6 inches. What is one-third of the diameter?

Possible Answers:

$2\ \textup{inches}$

$12\ \textup{inches}$

$4\ \textup{inches}$

$7\ \textup{inches}$

$6\ \textup{inches}$

Correct answer:

$4\ \textup{inches}$

Explanation:

If the radius is equal to 6 inches, then the diameter will be double that value, or 12 inches. One-third of 12 is 4, which is therefore the correct answer.

Report an Error

Example Question #3 : Lines

A right triangle has one leg with length $5\:cm$ and another leg with length $8\:cm$ . What is the length of the hypotenuse?

Possible Answers:

10.5

$\sqrt{55}$

$\sqrt{67}$

$\sqrt{89}$

Correct answer:

$\sqrt{89}$

Explanation:

Since we are dealing with a right triangle, we can use the Pythagorean Theorem:

$a^{2}+b^{2}=c^{2}$ ,

where and are leg lengths of and , respectively, and is the length of the hypotenuse.

Substituting values into the Theorem:

$5^{2}+8^{2}=c^{2}$

$25+64=c^{2}$

$89=c^{2}$

$\sqrt{89}=c$

Report an Error

Example Question #2 : Lines

Line has a length of $60\:cm$ . It is bisected at point , and the resulting segment is bisected again at point . What is the length of the line segment ?

Possible Answers:

$20\:cm$

$30\:cm$

$15\:cm$

$45\:cm$

$7.5\:cm$

Correct answer:

$15\:cm$

Explanation:

A line that is bisected is split into two segments of equal length. Therefore, if line is bisected at point ,

$AC=\frac{1}{2}AB=30\: cm$ .

Consequently, bisecting line segment at point :

$AD=\frac{1}{2}AC=\frac{1}{2}(30)=15\:cm$

Report an Error

Example Question #2 : How To Find Length Of A Line

Lines

Figure NOT drawn to scale.

AE = 40, AB = x, BC = x + 3, CD = 2x, DE = x-6

Evaluate .

Possible Answers:

7.2

8.6

9.6

6.2

Correct answer:

8.6

Explanation:

By the Segment Addition Postulate,

AB + BC + CD + DE = AE

x +( x + 3) +( 2x) +( x-6) = 40

5x-3 = 40

5x-3 +3 = 40 + 3

5x = 43

$5x \div 5 = 43 \div 5$

x = 8.6

AB = x = 8.6

Report an Error

Example Question #3 : How To Find Length Of A Line

What is the length of a line segment with end points (3,5) and (6,1) ?

Possible Answers:

Correct answer:

Explanation:

The length of a line segment can be determined using the distance formula:

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

$D=\sqrt{(3-6)^2+(5-1)^2}$

$D=\sqrt{-3^2+4^2}$

$D=\sqrt{9+16}=\sqrt{25}=5$

Report an Error

Example Question #1 : How To Find Length Of A Line

What is the length of a line with endpoints (1,1) and (10,1) .

Possible Answers:

Correct answer:

Explanation:

To find the length of this line, you can subtract 10-1 to get . Since the y-coordinates are the same, you don't have to take any vertical direction into account. Therefore, you only look at the x-coordinates!

Report an Error

Example Question #182 : Plane Geometry

Find the length of the line segment whose endpoints are (-3,5) and (5,4) .

Possible Answers:

8.06

Correct answer:

8.06

Explanation:

We can use the distance formula:

$D=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}$

$=\sqrt{(-3-5)^2+(5-4)^2}$

$=\sqrt{64+1}$

$=\sqrt{65}\approx 8.06$

Report an Error

Example Question #2 : How To Find Length Of A Line

The point (4,4) lies on a circle. What is the length of the radius of the circle if the center is located at (3,8) ?

Possible Answers:

4.12

4.4

3.12

Correct answer:

4.12

Explanation:

The radius is the distance from the center of the circle to anypoint on the circle. So we can use the distance formula in order to find the radius of the circle:

$D=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}$

$=\sqrt{(4-3)^2+(4-8)^2}$

$=\sqrt{1+16}$

$=\sqrt{17}\approx 4.12$

Report an Error

View SSAT- Middle Level Tutors

Cassandra
Certified Tutor

Eastern Michigan University, Bachelor of Education, Science Teacher Education.

View SSAT- Middle Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Middle Level Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Los Angeles, Algebra Tutors in Phoenix, LSAT Tutors in New York City, GRE Tutors in Boston, Chemistry Tutors in Phoenix, English Tutors in Miami, Chemistry Tutors in Miami, Statistics Tutors in San Diego, Computer Science Tutors in Washington DC, Statistics Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Seattle, LSAT Courses & Classes in Phoenix, SSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Denver, Spanish Courses & Classes in San Diego, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in Boston, MCAT Courses & Classes in Chicago, GRE Courses & Classes in Atlanta, GMAT Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in Seattle, MCAT Test Prep in Philadelphia, SSAT Test Prep in Boston, GMAT Test Prep in Atlanta, ISEE Test Prep in Denver, GMAT Test Prep in New York City, ISEE Test Prep in Boston, GRE Test Prep in Atlanta, ISEE Test Prep in San Diego, 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

SSAT Middle Level Math : Lines

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Lines

Example Question #1 : How To Find Length Of A Line

Example Question #2 : Lines

Example Question #3 : Lines

Example Question #2 : Lines

Example Question #2 : How To Find Length Of A Line

Example Question #3 : How To Find Length Of A Line

Example Question #1 : How To Find Length Of A Line

Example Question #182 : Plane Geometry

Example Question #2 : How To Find Length Of A Line

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: