How to graph an ordered pair

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Geometry › How to graph an ordered pair

Questions 1 - 10
1

The point on the coordinate plane with coordinates lies _____

in Quadrant I.

in Quadrant II.

in Quadrant III.

in Quadrant IV.

on an axis.

Explanation

On the coordinate plane, a point with a positive -coordinate and a positive -coordinate lies in the upper right quadrant - Quadrant I.

2

The point on the coordinate plane with coordinates lies _____

in Quadrant II.

in Quadrant III.

in Quadrant IV.

in Quadrant I.

on an axis.

Explanation

On the coordinate plane, a point with a negative -coordinate and a positive -coordinate lies in the upper left quadrant - Quadrant II.

3

The point on the coordinate plane with coordinates lies _____

on an axis.

in Quadrant IV.

in Quadrant III.

in Quadrant I.

in Quadrant II.

Explanation

On the coordinate plane, a point with 0 as one of its coordinates lies on an axis.

4

What ordered pair is shown below?

4  5

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 .

5

Which quadrant or axis can include the point ?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

The -axis

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.

6

Which pair of coordinates lies within quadrant II?

Explanation

By definition, quadrant I has positive coordinates, quadrant II has coordinates, quadrant III has negative coordinates, and quadrant IV has coordinates, as shown by the diagram below. Only one answer choice falls within quadrant II. All others lie in other coordinates or one of the axes.

Quadrants

- Quadrant II

- Quadrant I

- x-axis

- y-axis

- Quadrant III

7

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

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 .

8

Which of the following ordered pairs is in Quadrant III?

Explanation

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

9

Explanation

To discover the answer, we must plug in the x-values to see which ordered pair results in the corresponding y-value.

10

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

Either Quadrant I or Quadrant IV

Either Quadrant I or Quadrant II

Either Quadrant II or Quadrant IV

Either Quadrant II or Quadrant III

Either Quadrant I or Quadrant III

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.

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