We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

All HiSET: Math Resources

125 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review HiSET: Math but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different HiSET: Math flashcards! Our HiSET: Math flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous HiSET: Math flashcards.

Flashcards: Congruence and similarity criteria for triangles

Two of the angles of a triangle are congruent; the third has measure ten degrees greater than either one of the first two. What is the measure of the third angle?

$56 \frac{2}{3} ^{\circ }$

$53 \frac{1}{3} ^{\circ }$

$63 \frac{1}{3} ^{\circ }$

$73\frac{1}{3}^{\circ }$

$66 \frac{2}{3} ^{\circ }$

Report an Error Copyright Notice

Flashcards: Congruence and similarity criteria for triangles

Two of the angles of a triangle are congruent; the third has measure ten degrees greater than either one of the first two. What is the measure of the third angle?

Your answer:

$56 \frac{2}{3} ^{\circ }$

Your answer:

$53 \frac{1}{3} ^{\circ }$

Your answer:

$63 \frac{1}{3} ^{\circ }$

Your answer:

$73\frac{1}{3}^{\circ }$

Correct answer:

$66 \frac{2}{3} ^{\circ }$

Explanation:

Let be the measure of the third angle. Since its measure is ten degrees greater than either of the others, then the common measure of the other two is x- 10 . The sum of the measures of the angles of a triangle is 180 degrees, so

x+ (x-10) + (x-10) = 180

To solve for , first ungroup and collect like terms:

x+ x - 10 + x - 10 = 180

x+ x + x - 10 - 10 = 180

3x - 20 = 180

Isolate ; first add 20:

3x-20+20 = 180 + 20

3x= 200

Divide by 3:

$3x \div 3 = 200 \div 3$

Since $200 \div 3 = 66 \textup{ R }2$ ,

$x = 66 \frac{2}{3}$ .

The third angle measures $66 \frac{2}{3} ^{\circ }$ .

Flashcards: Congruence and similarity criteria for triangles

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\angle C \cong \angle F$ and $\angle A \cong \angle D$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the SSS Similarity Theorem.

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

Report an Error Copyright Notice

Flashcards: Congruence and similarity criteria for triangles

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\angle C \cong \angle F$ and $\angle A \cong \angle D$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the SSS Similarity Theorem.

Your answer:

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

Correct answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

Explanation:

We are given that, between the triangles, two pairs of corresponding angles are congruent. By the AA Similarity Postulate, this is enough to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

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)

View Tutors

John
Certified Tutor

The Richard Stockton College of New Jersey, Bachelor of Science, Mathematics. University of Texas Rio Grande Valley, Master o...

View Tutors

Samuel
Certified Tutor

York University, Bachelor, Physics. York University, Master's/Graduate, Mathematics and Statistics.

View Tutors

Edward
Certified Tutor

University of New Mexico, Bachelor of Science, Mathematics.

Popular Subjects

Spanish Tutors in Washington DC, French Tutors in Phoenix, French Tutors in Dallas Fort Worth, Spanish Tutors in Los Angeles, GMAT Tutors in Phoenix, SSAT Tutors in San Francisco-Bay Area, LSAT Tutors in Washington DC, GRE Tutors in Philadelphia, GRE Tutors in Dallas Fort Worth, French Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Boston, SSAT Courses & Classes in Atlanta, SAT Courses & Classes in Boston, SSAT Courses & Classes in Seattle, MCAT Courses & Classes in Miami, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in Phoenix, ISEE Courses & Classes in Denver, GRE Courses & Classes in Chicago, ISEE Courses & Classes in Dallas Fort Worth

Popular Test Prep

MCAT Test Prep in Atlanta, ISEE Test Prep in San Diego, SAT Test Prep in New York City, ISEE Test Prep in Miami, GMAT Test Prep in Boston, SSAT Test Prep in New York City, SSAT Test Prep in Boston, GRE Test Prep in Chicago, MCAT Test Prep in Phoenix, ACT Test Prep in Los Angeles

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

All HiSET: Math Resources

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback:

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores and create your own practice tests:

All HiSET: Math Resources

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Flashcards: Congruence and similarity criteria for triangles

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Create an account to track your scores
and create your own practice tests: