All Advanced Geometry Resources
Example Questions
Example Question #101 : Graphing
Which graph correctly represents the position of the point at ?
Coordinate points are given x-coordinate first, y-coordinate second. The correct representation plots the point one unit to the left of the origin on the x-axis and four units up from the origin on the y-axis.
Example Question #13 : How To Graph An Ordered Pair
Which of the following correctly identifies Points A and B, in that order, on the line?
Coordinate points are given x-coordinate first, y-coordinate second.
(-2, 1), (2, 4) is correct because it list the coordinates of each point in the correct order.
(1, -2), (4, 2) is incorrect because it lists the coordinates of each point in the incorrect order.
(2, 4), (-2, 1) is incorrect because, while it lists the coordinates of each point correctly, it misidentifies the points.
(4, 2), (1, -2) is incorrect because it both lists the coordinates of each point in the incorrect order and misidentifies the points.
Example Question #102 : Graphing
Which quadrants can include the point if nonzero numbers and have the same sign?
Either Quadrant I or Quadrant II
Either Quadrant II or Quadrant IV
Either Quadrant II or Quadrant III
Either Quadrant I or Quadrant III
Either Quadrant I or Quadrant IV
Either Quadrant I or Quadrant IV
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 ?
Quadrant IV
The -axis
Quadrant III
Quadrant II
Quadrant I
Quadrant I
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 ?
The -axis
Quadrant III
Quadrant II
The -axis
Quadrant I
The -axis
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?
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 ?
Quadrant II
Quadrant I
The -axis
Quadrant IV
Quadrant III
Quadrant II
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 ?
Quadrant III
The -axis
The -axis
Quadrant I
Quadrant II
The -axis
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?
None of these coordinates
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 ?
Quadrant II
Quadrant I
Quadrant III
Quadrant IV
Quadrant II
The quadrants are numbered as follows:
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.
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