The first letter in the name of a ray always refers to the endpoint of the ray. Therefore,

*
 has its endpoint at 
*
 and 
*
 has its endpoint at 
*
. The two rays are not opposite rays.

You are watching: What are opposite rays in geometry



Refer to the above figure. 

True or false: 

*
 and 
*
 comprise a pair of opposite rays.


Explanation:

The first letter in the name of a ray refers to its endpoint; the second refers to the name of any other point on the ray. 

*
 and 
*
 are rays that have endpoint 
*
 and pass through 
*
 and , respectively. Those rays are indicated below in red and green, respectively.

*

As it turns out, the two rays are one and the same.



Refer to the above figure. 

True or false: 

*
 and 
*
 comprise a pair of opposite rays.


Explanation:

 

Two rays are opposite rays, by definition, if 

(1) they have the same endpoint, and

(2) their union is a line.

The first letter in the name of a ray refers to its endpoint; the second refers to the name of any other point on the ray. 

*
 and 
*
 both have endpoint 
*
, so the first criterion is met. 
*
 passes through point  and 
*
 passes through point 
*
*
 and 
*
 are indicated below in green and red, respectively:

*

The union of the two rays is a line. Both criteria are met, so the rays are indeed opposite.


Report an Error

Example Question #1544 : Basic Geometry



Refer to the above diagram.

True or false: 

*
*
, and  are collinear points.


Possible Answers:

True


False


Correct answer:

False


Explanation:

Three points are collinear if there is a single line that passes through all three. In the diagram below, it can be seen that the line that passes through 

*
 and 
*
 does not pass through 
*
.

 

*

 

Therefore, the three points are not collinear.


Report an Error

Example Question #1545 : Basic Geometry


Refer to the above diagram. 

True or false: 

*
, , and 
*
 are collinear points.


Possible Answers:

True


False


Correct answer:

True


Explanation:

Three points are collinear if there is a single line that passes through all three. In the diagram below, it can be seen that such a line exists.


Report an Error

Example Question #1546 : Basic Geometry


True or false: The plane containing the above figure can be called Plane 

*
.


Possible Answers:

False


True


Correct answer:

True


Explanation:

A plane can be named after any three points on the plane that are not on the same line. 

*
*
, and 
*
 do not appear on the same line; for example, as can be seen below, the line that passes through 
*
 and 
*
 does not pass through 
*
.

Plane 

*
 is a valid name for the plane that includes this figure.


Report an Error

Example Question #1541 : Plane Geometry


Refer to the above diagram. 

True or false: Quadrilateral 

*
 can also be called Quadrilateral 
*
.


Possible Answers:

True


False


Correct answer:

False


Explanation:

A quadrilateral is named after its four vertices in consecutive order, going clockwise or counterclockwise. Quadrilateral 

*
 is the figure in red, below:

*

*
*
*
, and 
*
 are not a clockwise or counterclockwise ordering of the vertices, so Quadrilateral 
*
 is not a valid name for the quadrilateral.


Report an Error

Example Question #1548 : Basic Geometry


Refer to the above diagram:

True or false: 

*
 may also called 
*
.


Possible Answers:

False


True


Correct answer:

False


Explanation:

A line can be named after any two points it passes through. The line 

*
 is indicated in green below.

*

The line does not pass through 

*
, so 
*
 cannot be part of the name of the line. Specifically, 
*
 is not a valid name.


Report an Error

Example Question #1549 : Basic Geometry


Examine the diagram. Which of these conditions does not prove that  

*
 ?


Possible Answers:

*
 and 
*
 


Any of these statements can be used to prove that 

*
.


Correct answer:

*


Explanation:

If 

*
 and 
*
 , then 
*
, since two lines parallel to the same line are parallel to each other.

If

*
, then
*
, since two same-side interior angles formed by transversal 
*
 are supplementary.

If 

*
, then 
*
, since two alternate interior angles formed by transversal 
*
 are congruent.

However, 

*
 regardless of whether 
*
 and 
*
 are parallel; they are vertical angles, and by the Vertical Angles Theorem, they must be congruent.


Report an Error

Example Question #1 : How To Find An Angle Of A Line


An isosceles triangle has an interior angle that measures 

*
. What are the measures of its other two angles?


Possible Answers:

This triangle cannot exist.


Correct answer:

 

*


Explanation:

By the Isosceles Triangle Theorem, two interior angles must be congruent. However, since a triangle cannot have two obtuse interior angles, the two missing angles must be the ones that are congruent. Since the total angle measure of a triangle is 

*
 , each of the missing angles measures
*
.

See more: Is There Gluten In Reese'S Peanut Butter Cups Gluten, Gluten Free


Report an Error
← Previous 1 2 … 151 152 153 154 155 156 157 158 159 160 161 Next →
View Tutors
James Certified Tutor
Bachelor of Arts, Bachelor in Arts, Applied Psychology. Webster University, Master of Arts, Mass Communications.
View Tutors
Patrick Certified Tutor
Yale University, Bachelor in Arts, English. University of Florida, Master of Arts, English Composition.
View Tutors
Tyler Certified Tutor
Penn State Schreyer Honors College, Bachelor of Engineering, Biological/Biosystems Engineering. University of Pennsylvania, D...

All Basic Geometry Resources


9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept
Popular Subjects
Physics Tutors in Miami, Reading Tutors in Miami, ISEE Tutors in New York City, LSAT Tutors in Denver, Math Tutors in San Francisco-Bay Area, Reading Tutors in Phoenix, Spanish Tutors in Los Angeles, Computer Science Tutors in Dallas Fort Worth, Physics Tutors in Los Angeles, English Tutors in Chicago
Popular Courses & Classes
Spanish Courses & Classes in Houston, LSAT Courses & Classes in Houston, GRE Courses & Classes in New York City, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Phoenix, Spanish Courses & Classes in Chicago, ISEE Courses & Classes in Chicago, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in Phoenix, GRE Courses & Classes in Denver
Popular Test Prep
ACT Test Prep in New York City, GRE Test Prep in Chicago, GRE Test Prep in Atlanta, GMAT Test Prep in Atlanta, SAT Test Prep in Boston, GRE Test Prep in Miami, SAT Test Prep in Denver, SSAT Test Prep in Denver, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in San Diego
Report an issue with this question

If you"ve found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.


Do not fill in this field
* Your Name:
* Issue Description:
DMCA Complaint

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please follow these steps to file a notice:

You must include the following:

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105