Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Geometry

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Midpoint Formula

What is the coordinates of the point exactly half way between (-2, -3) and (5, 7)?

Possible Answers:

$\left(2, \frac{-3}{2}\right)$

(2, -3)

(3,-2)

$\left(\frac{3}{2}, 2\right)$

Correct answer:

$\left(\frac{3}{2}, 2\right)$

Explanation:

We need to use the midpoint formula to solve this question.

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

In our case (x_1, y_1)=(-2,-3)

and (x_2, y_2)=(5,7)

Therefore, substituting these values in we get the following:

$midpoint=(\frac{-2+5}{2}, \frac{-3+7}{2})$

$midpoint= (\frac{3}{2}, \frac{4}{2})$

$(\frac{3}{2}, 2)$

Report an Error

Example Question #3 : Midpoint Formula

Find the midpoint between (2,3) and (-1,9) .

Possible Answers:

$(\frac{3}{2}, -3)$

$(\frac{1}{2}, -6)$

$(\frac{1}{2}, 6)$

$(\frac{3}{2}, 3)$

$(\frac{1}{2}, -3)$

Correct answer:

$(\frac{1}{2}, 6)$

Explanation:

Write the midpoint formula.

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

Substitute the points.

$M = (\frac{2+(-1)}{2}, \frac{3+9}{2}) = (\frac{1}{2}, 6)$

The answer is: $(\frac{1}{2}, 6)$

Report an Error

Example Question #1 : Other Coordinate Geometry

On the coordinate plane, two lines intersect at the origin. One line passes through the point (3, 2) ; the other, (3, 4) .

Give the measures of the acute angles they form at their intersection (nearest degree).

Possible Answers:

$34 ^{\circ }$

$71^{\circ }$

$21^{\circ }$

$19 ^{\circ }$

$69^{\circ }$

Correct answer:

$19 ^{\circ }$

Explanation:

If $\theta$ is the measure of the angles that two lines with slopes $m_{1}$ and $m_{2}$ form, then

$\tan \theta = \frac{m_{1}-m _{2}}{1+m_{1}m_{2}}$ ,

The slopes of the lines can be found by applying the slope formula

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

using the known points.

For the first line, set $x_{1}= y_{1} = 0, x_{2}= 3, y_{2} = 4$ :

$m_{1} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4-0}{3-0} = \frac{4}{3}$

The inverse tangent of this is

$\tan^{-1} \frac{4}{3} \approx 53.1^{\circ }$ ,

making this the angle this line forms with the -axis.

For the second line, set $x_{1}= y_{1} = 0, x_{2}= 3, y_{2} = 2$ :

$m_{2} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{2-0}{3-0} = \frac{2}{3}$

The inverse tangent of this is

$\tan^{-1} \frac{2}{3} \approx 33.7^{\circ }$

making this the angle this line forms with the -axis.

Subtract:

Taking the inverse tangent:

$\theta \approx 53.1^{\circ } - 33.7^{\circ } \approx 19.4 ^{\circ }$ .

Rounding to the nearest degree, this is $19 ^{\circ }$ .

Report an Error

Example Question #2 : Other Coordinate Geometry

In the figure below, regular hexagon ABCDEF has a side length of . Find the y-coordinate of point .

Possible Answers:

3.46

3.99

3.38

4.09

Correct answer:

3.46

Explanation:

From the given information, we know that the coordinate for must be (0, 8) .

Recall that the interior angle of a regular hexagon is $120^{\circ}$ . Thus, we can draw in the following 30-60-90 triangle.

Since we know that this is a 30-60-90 triangle, we know that the sides must be as marked, in the ratio of $1:\sqrt3:2$ . Thus, the y-coordinate of must be 3.46 .

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Lilian Natalia
Certified Tutor

University of Texas Rio Grande Valley, Bachelor of Science, Mechanical Engineering. University of Texas Rio Grande Valley, Ma...

View SAT Subject Test in Mathematics Level 2 Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View SAT Subject Test in Mathematics Level 2 Tutors

Shakeel
Certified Tutor

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Denver, Chemistry Tutors in New York City, MCAT Tutors in Philadelphia, Math Tutors in Miami, GMAT Tutors in Denver, Math Tutors in Boston, SSAT Tutors in Miami, ACT Tutors in Phoenix, Reading Tutors in Chicago, SAT Tutors in Atlanta

Popular Courses & Classes

MCAT Courses & Classes in Boston, Spanish Courses & Classes in Atlanta, LSAT Courses & Classes in San Diego, ISEE Courses & Classes in Boston, ISEE Courses & Classes in Seattle, ISEE Courses & Classes in Houston, SSAT Courses & Classes in Seattle, GRE Courses & Classes in Denver, SAT Courses & Classes in Houston, SSAT Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Houston, MCAT Test Prep in Houston, LSAT Test Prep in Miami, LSAT Test Prep in Denver, SSAT Test Prep in Boston, GMAT Test Prep in Miami, MCAT Test Prep in Seattle, LSAT Test Prep in Philadelphia, GMAT Test Prep in San Diego

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

SAT II Math II : Geometry

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #2 : Midpoint Formula

Example Question #3 : Midpoint Formula

Example Question #1 : Other Coordinate Geometry

Example Question #2 : Other Coordinate Geometry

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: