Quadrants on the Coordinate Plane

Explore and identify points in different quadrants of the coordinate plane, including advanced concepts like transformations and functions.

Grade 12 Math Data and GraphingQuadrants on the Coordinate Plane

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Includes

Multiple Choice2 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSG.GPE.B.4

Topics

Grade 12MathCoordinate PlaneQuadrantsAlgebraGeometry

7 sections · Free to use · Printable

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Quadrants on the Coordinate Plane

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Read each question carefully and provide your answer in the space provided. For graphing questions, plot the points accurately on the coordinate plane.

1. In which quadrant would the point (-5, 3) be located?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

2. If a point (x, y) is in Quadrant IV, which of the following must be true?

x > 0, y > 0

x < 0, y > 0

x < 0, y < 0

x > 0, y < 0

3. Plot the points A(2, 5), B(-4, 1), C(3, -2), and D(-1, -3) on the coordinate plane below. Then, identify the quadrant for each point.

Point A:

Point B:

Point C:

Point D:

4. The x-axis and y-axis intersect at the , which has coordinates (0,0).

5. A point with a negative x-coordinate and a positive y-coordinate lies in Quadrant .

6. The point (0, 7) is located in Quadrant I.

True

False

7. If a point is reflected across the y-axis from Quadrant I, its new position will be in Quadrant II.

True

False

8. A function f(x) = x^2 - 4 is graphed on a coordinate plane. In which quadrant(s) does the graph of f(x) intersect the x-axis?

9. Consider a point P(a, b) in Quadrant I. If P is rotated 270 degrees clockwise about the origin, in which quadrant will the new point P' be located?