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Grade 12 Cartesian Plane Worksheet

A Grade 12 math worksheet covering key concepts of the Cartesian plane, including plotting points, calculating distance, finding midpoints, and understanding linear equations.

Grade 12 Math GeometryCartesian Plane
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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgrade 12geometryCartesian planecoordinate geometrydistance formulamidpoint formula
8 sections · Free to use · Printable
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Cartesian Plane Fundamentals

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Plot the following points on the Cartesian plane below and label them A(3, -2), B(-4, 1), C(0, 5), and D(-2, -3).

-6-4-2246-6-4-2246

2. Calculate the distance between the points P(5, -1) and Q(-3, 7). Round your answer to two decimal places.

3. Find the midpoint of the line segment connecting the points R(-6, 2) and S(4, -8).

4. Which of the following equations represents a line parallel to y = 2x - 5?

a

y = -2x + 3

b

y = (1/2)x - 1

c

y = 2x + 7

d

y = -(1/2)x + 4

5. The   is the horizontal axis in a Cartesian coordinate system.

6. A point with coordinates (0, y) lies on the  .

7. The four regions formed by the intersection of the x and y axes are called  .

8. Write the equation of a line that passes through the point (2, 3) and has a slope of -1/2.