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Coordinate Grid Mastery

This worksheet focuses on coordinate geometry concepts including plotting points, calculating distance, finding midpoints, and understanding transformations on the Cartesian plane, suitable for Grade 11 students.

Grade 11 Math GeometryCoordinate Grid
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.GPE.B.5CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

Coordinate GeometryCartesian PlaneDistance FormulaMidpoint FormulaTransformations
7 sections · Free to use · Printable
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Coordinate Grid Mastery

Name:

Date:

Score:

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

1. Which of the following equations represents a line perpendicular to y = -2x + 5?

a

y = 2x + 5

b

y = -2x - 5

c

y = (1/2)x + 3

d

y = -(1/2)x - 3

2. What is the distance between the points (3, -4) and (-1, 2)?

a

√10

b

√20

c

√52

d

√68

1. The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the formula  .

2. A horizontal line has a slope of  .

1. Plot the points A(-3, 4), B(2, 4), and C(2, -1) on the coordinate grid below and connect them to form a triangle.

-5-4-3-2-112345-5-4-3-2-112345

2. Calculate the perimeter of the triangle formed in question 1. Show all your work.

1. The equation x = 3 represents a vertical line.

T

True

F

False

2. The origin on a coordinate grid is represented by the point (0, 0).

T

True

F

False

Match each term with its definition.

1. Quadrant II

 

a. (x, -y)

2. Reflection across x-axis

 

b. (-x, y)

3. Translation

 

c. Moving a figure without changing its size or shape

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