Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Plane Geometry

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Example Question #3 : Lines

The coordinates of and are A(4,1) and D(7,-1) . Find the length of the diagonal of the following rectangle:

Possible Answers:

4.6

3.6

Correct answer:

3.6

Explanation:

A rectangle has two diagonals with the same length. So we should find the length of . We can use the distance formula:

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

$=\sqrt{(4-7)^2+(1+1)^2}$

$=\sqrt{9+4}$

$=\sqrt{13}\approx 3.6$

Report an Error

Example Question #11 : How To Find Length Of A Line

If a circle has a radius of 12 inches, the biggest line that would be drawn within the circle is:

Possible Answers:

$14\ \textup{inches}$

$26\ \textup{inches}$

$24\ \textup{inches}$

$20\ \textup{inches}$

Correct answer:

$24\ \textup{inches}$

Explanation:

The largest line that can be drawn within a circle is the diamater. The diameter is equal to twice the radius. Given that the radius is equal to 12 inches, the largest line that could be drawn (the diameter) would be equal to 24 inches.

Report an Error

Example Question #4 : How To Find Length Of A Line

If you stand on a giant number line at point , what is your distance from point ?

Possible Answers:

Correct answer:

Explanation:

The distance on a number line is the number of whole number places between two numbers. When you are going from a negative value to a positive one or vice versa, you must find the distance from that both points are then add them together. is spaces away from and is spaces away. To find the distance you then add your two values of and to get .

Report an Error

Example Question #5 : How To Find Length Of A Line

One of the legs on a right triangle has a measurement of 30cm and the other leg has a measurement of 40cm. What is the length of the hypotenuse?

Possible Answers:

1200cm

70cm

10cm

50cm

Correct answer:

50cm

Explanation:

The Pythagorean Theorem states:

$a^{2 } +b^{2} =c ^{2}$ where represents the hypotenuse and and represent the measurements of the legs of the right triangle.

$30^{2} = 30 \times30 = 900$

$40^{2} = 40 \times 40 = 1600$

900 + 1600 = 2500

$\sqrt{c^{2}} = \sqrt{2500}$

c = 500 cm

Report an Error

Example Question #6 : How To Find Length Of A Line

A right triangle has one leg with a length of and a hypotenuse of . What is the approximate measurement of the missing length?

Possible Answers:

$b\approx 11cm$

$b\approx 7.4cm$

$b \approx 9.5cm$

$b\approx 8.3cm$

Correct answer:

$b\approx 7.4cm$

Explanation:

The Pythagorean Theorem states that

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

Where and are the measurements of each leg and is the hypotenuse.

$3^{2} = 3 \times3 =9$

$8^{2} = 8\times 8 = 64.$

$9 + b^{2} = 64$

$(9-9) + b^{2} = 64-9$

$b^{2} = 55$

$\sqrt{b^{2}} = \sqrt{55}$

$b\approx 7.4cm$

Report an Error

Example Question #71 : Geometry

Rec

The coordinates of on the rectangle are D (5,2) and B (7,-3) . Find the length of the diagonal.

Possible Answers:

$d\approx 6.4$

$d \approx 4.4$

$d \approx 5.4$

$d\approx 7.4$

Correct answer:

$d \approx 5.4$

Explanation:

A rectangle has two diagonals with the same length. Therefore, use the distance formula to calculate the distance.

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

$(7-5)^{2} = 2^{2} = 4$

$(-3-2)^{2} = -5^{2} = 25$

$\sqrt{4+25}$

$\sqrt{29} \approx 5.4$

$d \approx 5.4$

Report an Error

View Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

View Tutors

Gabby
Certified Tutor

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

View Tutors

Sujay
Certified Tutor

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Boston, Statistics Tutors in Houston, ACT Tutors in Chicago, Physics Tutors in Atlanta, Calculus Tutors in San Francisco-Bay Area, Computer Science Tutors in Washington DC, Reading Tutors in Seattle, MCAT Tutors in Boston, Statistics Tutors in Philadelphia, Math Tutors in Washington DC

Popular Courses & Classes

MCAT Courses & Classes in Houston, Spanish Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Houston, GRE Courses & Classes in Houston, Spanish Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Phoenix, SAT Courses & Classes in Boston, ACT Courses & Classes in Houston, SSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Seattle

Popular Test Prep

MCAT Test Prep in Phoenix, SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in New York City, GRE Test Prep in Houston, ACT Test Prep in Boston, GRE Test Prep in Dallas Fort Worth, GRE Test Prep in New York City, SAT Test Prep in Phoenix, SSAT Test Prep in Chicago, MCAT Test Prep in San Francisco-Bay Area

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

ISEE Middle Level Math : Plane Geometry

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

All ISEE Middle Level Math Resources

Example Questions

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

Example Question #3 : Lines

Example Question #11 : How To Find Length Of A Line

Example Question #4 : How To Find Length Of A Line

Example Question #5 : How To Find Length Of A Line

Example Question #6 : How To Find Length Of A Line

Example Question #71 : Geometry

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: