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Grade 10 Cartesian Graphs Worksheet

A Grade 10 math worksheet focusing on understanding and plotting points on Cartesian graphs, calculating distance, and finding midpoints.

Grade 10 Math Data and GraphingCartesian Graphs
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

Cartesian GraphsCoordinate PlaneDistance FormulaMidpoint FormulaGrade 10 Math
7 sections · Free to use · Printable
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Cartesian Graphs: Grade 10

Name:

Date:

Score:

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

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

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

2. What is the formula to calculate the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane?

a

d = √((x2 - x1)² + (y2 - y1)²)

b

d = (x2 - x1) + (y2 - y1)

c

d = (x1 + x2)/2

d

d = √(x2² + y2²)

1. The horizontal axis on a Cartesian graph is called the  .

2. The point where the x-axis and y-axis intersect is called the  .

1. Plot the following points on the graph below: A(2, 3), B(-4, 1), C(0, -2), D(3, -5).

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

2. Calculate the distance between point A(2, 3) and point B(-4, 1). Show your work.

3. Find the midpoint of the line segment connecting point C(0, -2) and point D(3, -5). Show your work.

1. The y-coordinate of a point indicates its horizontal position.

T

True

F

False

2. A point on the x-axis always has a y-coordinate of 0.

T

True

F

False

1. A triangle has vertices at P(1, 2), Q(5, 2), and R(3, 6). Calculate the perimeter of the triangle.