Advanced Geometry : How to graph an ordered pair

Study concepts, example questions & explanations for Advanced Geometry

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Example Questions

Example Question #1 : Graphing An Ordered Pair

Which quadrants can include the point   if nonzero numbers  and  have the same sign?

Possible Answers:

Either Quadrant I or Quadrant IV

Either Quadrant I or Quadrant II

Either Quadrant II or Quadrant III

Either Quadrant II or Quadrant IV

Either Quadrant I or Quadrant III

Correct answer:

Either Quadrant I or Quadrant IV

Explanation:

If  and  have the same sign, then , and the point has a positive -coordinate. The sign of  is the same as the common sign of  and . Therefore, only the -coordinate restricts the possibilities.

The points witn positive -coordinates are in Quadrant I and Quadrant IV.

Example Question #102 : Coordinate Geometry

Which quadrant or axis can include the point ?

Possible Answers:

Quadrant IV

The -axis

Quadrant III

Quadrant II

Quadrant I

Correct answer:

Quadrant I

Explanation:

The ordered pair  consists of a positive -coordinate and a positive -coordinate. The only quadrant that consists entirely of positive - and -coordinates is Quadrant I. 

Example Question #1031 : Gmat Quantitative Reasoning

Which quadrant or axis contains the point ?

Possible Answers:

The -axis

Quadrant III

Quadrant II

The -axis

Quadrant I

Correct answer:

The -axis

Explanation:

The ordered pair  consists of a positive -coordinate and a -coordinate of . The only part of the coordinate plane on which all points have a zero -coordinate is the -axis. 

Example Question #22 : How To Graph An Ordered Pair

Which of the following ordered pairs is in Quadrant III?

Possible Answers:

Correct answer:

Explanation:

By definition, only Quadrant III contains ordered pairs that have both negative - and -coordinates. 

Example Question #103 : Coordinate Geometry

Which quadrant or axis includes the point ?

Possible Answers:

Quadrant II

Quadrant I

The -axis

Quadrant IV

Quadrant III

Correct answer:

Quadrant II

Explanation:

The ordered pair  has a negative -coordinate and a positive -coordinate. By definition, all ordered pairs with negative -coordinates and a positive -coordinates exist in Quadrant II.

Example Question #108 : Graphing

Which quadrant or axis includes the point ?

Possible Answers:

Quadrant III

The -axis

The -axis

Quadrant I

Quadrant II

Correct answer:

The -axis

Explanation:

The ordered pair  has a zero -coordinate and a nonzero -coordinate. By definition, all ordered pairs with zero -coordinates and nonzero -coordinates is on the -axis.

Example Question #104 : Coordinate Geometry

Which of the following ordered pairs is in Quadrant I?

Possible Answers:

None of these coordinates

Correct answer:

Explanation:

 By definition, all ordered pairs with positive -coordinates and positive -coordinates are in Quadrant I. Therefore, the only ordered pair in this quadrant is .

Example Question #105 : Coordinate Geometry

In which quadrant is the point ?

Possible Answers:

Quadrant II

Quadrant I

Quadrant III

Quadrant IV

Correct answer:

Quadrant II

Explanation:

The quadrants are numbered as follows:

Quadrants

The point (-2,3) has a negative x coordinate, so the point is on the left side of the y-axis, and a positive y-coordinate, so the point is above the x-axis.

That places it in quadrant II.

Example Question #21 : How To Graph An Ordered Pair

What are the coordinates of the two points that make up the line segment below? The ordered pairs are in order from left to right.

 Screen shot 2015 10 21 at 7.02.20 pm

Possible Answers:

Correct answer:

Explanation:

The scale on the graph is  unit. You have to go to the left of zero, which means the x-coordinate is negative. You also have to go down, so the y-coordinate is negative. The correct coordinates that make up the line segment are .

Example Question #23 : How To Graph An Ordered Pair

What ordered pair is shown below?

4  5

Possible Answers:

Correct answer:

Explanation:

The x-coordinate is the first one listed, and the y-coordinate is the second coordinate in the parentheses. You have to go either left or right with the x-coordinate, and the y-coordinate is the one on the vertical axis. 

The point shown is in the IV quadrant, which means that the x-coordinate is positive, and the y-coordinate is negative.

The only point that fulfills those standards is .

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