The very first letter in the name of a ray constantly refers come the endpoint the the ray. Therefore,

has that endpoint at and has the endpoint at . The two rays room not opposite rays.You are watching: Name a pair of opposite rays

Refer come the over figure.

True or false:

and comprise a pair of opposite rays.Explanation:

The first letter in the name of a ray describes its endpoint; the second refers come the name of any kind of other allude on the ray.

and are rays that have endpoint and happen through and , respectively. Those rays room indicated listed below in red and also green, respectively.As it transforms out, the 2 rays space one and also the same.

Refer come the over figure.

True or false:

and comprise a pair of the contrary rays.Explanation:

Two rays are opposite rays, by definition, if

(1) they have the exact same endpoint, and

(2) your union is a line.

The first letter in the name of a ray refers to its endpoint; the 2nd refers to the surname of any other point on the ray.

and both have endpoint , therefore the an initial criterion is met. passes through point and passes with point ; and are indicated listed below in green and red, respectively:The union that the two rays is a line. Both criteria are met, therefore the rays are certainly opposite.

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### Example inquiry #1544 : an easy Geometry

Refer come the over diagram.

True or false:

, , and are collinear points.**Possible Answers:**

True

False

**Correct answer:**

False

Explanation:

Three points space collinear if over there is a solitary line that passes v all three. In the diagram below, it deserve to be checked out that the line the passes through

and does not pass through .

Therefore, the 3 points are not collinear.

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### Example inquiry #1545 : an easy Geometry

Refer come the over diagram.

True or false:

, , and are collinear points.**Possible Answers:**

True

False

**Correct answer:**

True

Explanation:

Three points room collinear if over there is a solitary line the passes through all three. In the chart below, it can be viewed that together a heat exists.

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### Example concern #1546 : simple Geometry

True or false: The plane containing the above figure have the right to be dubbed Plane

.**Possible Answers:**

False

True

**Correct answer:**

True

Explanation:

A plane can be named after any type of three clues on the airplane that room not top top the same line.

, , and do not show up on the same line; for example, as have the right to be seen below, the line the passes through and does no pass through .Plane

is a valid name for the aircraft that has this figure.Report one Error

### Example inquiry #1541 : aircraft Geometry

Refer come the over diagram.

True or false: Quadrilateral

can likewise be called Quadrilateral .**Possible Answers:**

True

False

**Correct answer:**

False

Explanation:

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

is the number in red, below:, , , and are no a clockwise or counterclockwise notified of the vertices, therefore Quadrilateral is no a valid surname for the quadrilateral.Report one Error

### Example question #1548 : straightforward Geometry

Refer come the over diagram:

True or false:

may additionally called .**Possible Answers:**

False

True

**Correct answer:**

False

Explanation:

A line deserve to be named after any two points it overcome through. The line

is indicated in environment-friendly below.The line does not pass through

, so cannot be part of the name of the line. Specifically, is not a valid name.Report one Error

### Example concern #1549 : basic Geometry

Examine the diagram. I m sorry of these conditions does *not* prove that

**Possible Answers:**

and

Any of these statements can be offered to prove that

.**Correct answer:**

Explanation:

If

and , then , because two present parallel to the same line space parallel to each other.If

, climate , because two same-side inner angles created by transversal are supplementary.If

, then , due to the fact that two alternative interior angles created by transversal are congruent.However,

regardless that whether and are parallel; they room vertical angles, and also by the Vertical angles Theorem, they*must*be congruent.

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### Example question #1 : how To uncover An angle Of A line

An isosceles triangle has an inner angle the measures

. What are the measures of its various other two angles?**Possible Answers:**

This triangle cannot exist.

**Correct answer:**

Explanation:

By the Isosceles Triangle Theorem, two interior angles have to be congruent. However, since a triangle cannot have actually two obtuse inner angles, the two lacking angles must be the persons that are congruent. Because the total angle measure of a triangle is

, every of the absent angles steps .Report an Error

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### All simple Geometry sources

9 Diagnostic test 164 practice Tests question of the work Flashcards find out by ide

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