We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Geometry

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 : Coordinate Geometry

Give the slope of the line that passes through (4,2) and (-8,-3) .

Possible Answers:

$\frac{5}{12}$

$-\frac{5}{2}$

$\frac{12}{5}$

$\frac{1}{4}$

$-\frac{2}{5}$

Correct answer:

$\frac{5}{12}$

Explanation:

Use the slope formula, substituting $x_{1}= 4, y_{1}=2,x_{2}= -8, y_{2}=-3$ :

$m =\frac{ y_{2}- y_{1} }{x_{2} - x_{1}}=\frac{ -3-2 }{-8-4} = \frac{ -5 }{-12} = \frac{5 }{12}$

Report an Error

Example Question #2 : Coordinate Geometry

Give the slope of a line that passes through (5,5) and (2,4) .

Possible Answers:

$\frac{1}{3}$

$\frac{3}{4}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{3}$

Explanation:

Using the slope formula, substituting $x_{1}=5$ , $x_{2}=2$ , $y_{1}=5$ , and $y_{2}=4$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-5}{2-5}$

Subtract to get:

$m=\frac{-1}{-3}$

Cancel out the negative signs to get:

$m=\frac{1}{3}$

Report an Error

Example Question #2 : Geometry

Give the slope of a line that passes through (-7,4) and (2,5) .

Possible Answers:

$\frac{2}{9}$

$\frac{3}{8}$

$\frac{5}{7}$

$\frac{1}{9}$

$\frac{4}{7}$

Correct answer:

$\frac{1}{9}$

Explanation:

Using the slope formula with $x_{1}=-7$ , $x_{2}=2$ , $y_{1}=4$ , $y_{2}=5$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5-4}{2-(-7)}$

Subtract to get:

$m=\frac{1}{9}$

Report an Error

Example Question #3 : Geometry

Give the slope of the line that passes through (-5,3) and (1,9) .

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{2}$

$-\frac{3}{4}$

Correct answer:

Explanation:

Using the slope formula for

$x_{1}=-5$ , $x_{2}=1$ , $y_{1}=3$ , and $y_{2}=9$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{9-3}{1-(-5)}$

Combine the negative signs to get:

$m=\frac{9-3}{1+5}$

Subtract and add to get:

$m=\frac{6}{6}$

Reduce to get:

m=1

Report an Error

Example Question #3 : Geometry

Give the slope of a line that passes through (4,7) and (2,3) .

Possible Answers:

$\frac{3}{7}$

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

Using the slope formula, where is the slope, $(x_{1},y_{1})=$ (4,7) , and $(x_{2},y_{2})=$ (2,3) :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{3-7}{2-4}$

$m=\frac{-4}{-2}$

m=2

Report an Error

Example Question #1 : Geometry

Find the slope of the line that passes through the points (5,-4) and (-5,-4)

Possible Answers:

$\frac{4}{5}$

Cannot be determined

Correct answer:

Explanation:

Using the slope formula, where is the slope, $(x_{1},y_{1})=$ (5,-4) , and $(x_{2},y_{2})=$ (-5,-4) :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-4-(-4)}{-5-5}$

$m=\frac{-4+4}{-10}$

$m=\frac{0}{-10}$

m=0

Report an Error

Example Question #3 : Coordinate Geometry

Find the slope of a line with points (-1,0) and (-10, 5) .

Possible Answers:

Cannot be determined

$-\frac{5}{9}$

$\frac{5}9 {}$

$-\frac{9}{5}$

$\frac{9}{5}$

Correct answer:

$-\frac{5}{9}$

Explanation:

Using the slope formula, where is the slope, $(x_{1},y_{1})=$ (-1,0) , and $(x_{2},y_{2})=$ (-10, 5) :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5-0}{-10-(-1)}$

$m=\frac{5}{-10+1}$

$m=-\frac{5}{9}$

Report an Error

Example Question #4 : How To Find A Line On A Coordinate Plane

Billy set up a ramp for his toy cars. He did this by taking a wooden plank and putting one end on top of a brick that was 3 inches high. He then put the other end on top of a box that was 9 inches high. The bricks were 18 inches apart. What is the slope of the plank?

Possible Answers:

$\frac{1}{18}$

$\frac{1}{3}$

$\frac{5}{9}$

$\frac{3}{18}$

Correct answer:

$\frac{1}{3}$

Explanation:

The value of the slope (m) is rise over run, and can be calculated with the formula below:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The coordinates of the first end of the plank would be (0,3), given that this is the starting point of the plank (so x would be 0), and y would be 3 since the brick is 3 inches tall.

The coordinates of the second end of the plank would be (18,9) since the plank is 18 inches long (so x would be 18) and y would be 9 since the box was 9 inches tall at the other end.

From this information we know that we can assign the following coordinates for the equation:

$\left(x_{1},y_{1}\right) = (0,3)$ and $(x_{2}, y_{2})= (18,9)$

Below is the solution we would get from plugging this information into the equation for slope:

$m = \frac{9-3}{18-0}}$

This reduces to $\frac{6}{18} =\frac{1}{3}$

Report an Error

Example Question #1 : How To Find A Triangle On A Coordinate Plane

Triangle2

Find the area of the above triangle, given that it has a height of 12 and a base of 10.

Possible Answers:

$120 \text{ square units}$

$44 \text{ square units}$

$22 \text{ square units}$

$60\text{ square units}$

Correct answer:

$60\text{ square units}$

Explanation:

Because this is a right triangle, the area formula is simply:

$A = \frac{base \times height}{2}$

Thus, the solution is:

$A = \frac{10 \times 12}{2} = \frac{120}{2} = 60 \text{ square units}$

Report an Error

Example Question #2 : How To Find A Triangle On A Coordinate Plane

Triangle6

Given the above triangle is an equilateral triangle, find the perimeter in units as drawn in the coordinate system.

Possible Answers:

Correct answer:

Explanation:

Using the coordinate system, one can see the base of the triangle is 6 units in length. Since it is an equilateral triangle, the other two sides must also be 6 units each in length. Therefore the perimeter is:

P = a + b + c = 6 + 6 + 6 = 18

Report an Error

View SSAT- Middle Level Tutors

Jason
Certified Tutor

NJCU, Bachelor in Arts, Communication, General. Saint Peters College, Masters in Business Administration, Elementary and Midd...

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

Bill
Certified Tutor

SUNY Empire State College, Bachelors, General Sciences, Theater.

All SSAT Middle Level Math Resources

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

Popular Subjects

GRE Tutors in Philadelphia, LSAT Tutors in Houston, French Tutors in Atlanta, Computer Science Tutors in Phoenix, French Tutors in Boston, Computer Science Tutors in Boston, Spanish Tutors in Atlanta, GRE Tutors in Chicago, Chemistry Tutors in Washington DC, GRE Tutors in Denver

Popular Courses & Classes

ISEE Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Atlanta, MCAT Courses & Classes in Boston, GMAT Courses & Classes in New York City, Spanish Courses & Classes in San Diego, GMAT Courses & Classes in Miami, GRE Courses & Classes in Denver, ACT Courses & Classes in Philadelphia, GMAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

GRE Test Prep in Seattle, GMAT Test Prep in Seattle, LSAT Test Prep in Houston, ACT Test Prep in Phoenix, ISEE Test Prep in Philadelphia, GRE Test Prep in Los Angeles, GMAT Test Prep in New York City, MCAT Test Prep in Denver, SSAT Test Prep in San Diego, GMAT 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 Middle Level Math : Geometry

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Coordinate Geometry

Example Question #2 : Coordinate Geometry

Example Question #2 : Geometry

Example Question #3 : Geometry

Example Question #3 : Geometry

Example Question #1 : Geometry

Example Question #3 : Coordinate Geometry

Example Question #4 : How To Find A Line On A Coordinate Plane

Example Question #1 : How To Find A Triangle On A Coordinate Plane

Example Question #2 : How To Find A Triangle On A Coordinate Plane

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: