Coordinate Geometry Calculations Quiz

Test your knowledge with 15 questions on coordinate geometry including midpoint formula, slope, distance, and equations.

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Which of the following represents the midpoint formula in a coordinate plane?

((x1 + x2) / 2, (y1 + y2) / 2)

(x1 + x2, y1 + y2)

(x1 - x2, y1 - y2)

((x1 - x2) / 2, (y1 - y2) / 2)

1 answered

What is the equation of a vertical line passing through the point (4, -3)?

x = 4

y = 4

y = -3

x = -3

1 answered

Which of the following represents the slope-intercept form of a linear equation?

y = mx + b

x = my + b

y = mx - b

x = my - b

What is the equation of a line perpendicular to the line represented by the equation y = 2x + 3 passing through the point (2, -1)?

y = -2x - 5

y = -1/2x + 2

y = 2x - 5

y = 1/2x - 2

What are the coordinates of the image of point (3, -2) after a reflection over the x-axis?

(3, -2)

(3, 2)

(-3, -2)

(-3, 2)

1 answered

What is the slope of a line parallel to the line represented by the equation y = 3x - 2?

-3

-2

1 answered

What is the distance between the points (1, 2) and (-2, 5) in a coordinate plane?

√10

√13

1 answered

What is the area of a triangle formed by the points (1, 3), (4, 5), and (-2, -1) in a coordinate plane?

6 square units

8 square units

10 square units

12 square units

1 answered

What is the equation of a circle with its center at (-3, 4) and a radius of 5 units?

(x + 3)^2 + (y - 4)^2 = 5^2

(x - 3)^2 + (y + 4)^2 = 5^2

(x + 3)^2 + (y + 4)^2 = 5^2

(x - 3)^2 + (y - 4)^2 = 5^2

#10

What is the distance between the point (2, -1) and the line represented by the equation 3x + 4y = 12?

#11

What are the coordinates of the intersection point of the lines represented by the equations 2x + y = 7 and x - 3y = 1?

(3, 1)

(1, 3)

(-1, 3)

(3, -1)

#12

What is the equation of the line passing through the points (1, 2) and (5, -3) in a coordinate plane?

y = -1/2x + 5/2

y = -5/2x + 5/2

y = -5/6x + 11/6

y = -11/6x + 5/6

#13

What is the distance between the points (-1, 2) and (5, -3) in a coordinate plane?

#14

What are the coordinates of the centroid of the triangle with vertices at (1, 2), (4, 5), and (7, 1)?

(4, 2)

(4, 3)

(4, 4)

(4, 5)

#15

What are the coordinates of the intersection point of the lines represented by the equations 3x + 4y = 12 and 6x - 2y = 4?

(2, 1)

(1, 2)

(3, -2)

(-2, 3)

Coordinate Geometry Calculations Quiz

Which of the following represents the midpoint formula in a coordinate plane?

What is the equation of a vertical line passing through the point (4, -3)?

Which of the following represents the slope-intercept form of a linear equation?

What is the equation of a line perpendicular to the line represented by the equation y = 2x + 3 passing through the point (2, -1)?

What are the coordinates of the image of point (3, -2) after a reflection over the x-axis?

What is the slope of a line parallel to the line represented by the equation y = 3x - 2?

What is the distance between the points (1, 2) and (-2, 5) in a coordinate plane?

What is the area of a triangle formed by the points (1, 3), (4, 5), and (-2, -1) in a coordinate plane?

What is the equation of a circle with its center at (-3, 4) and a radius of 5 units?

What is the distance between the point (2, -1) and the line represented by the equation 3x + 4y = 12?

What are the coordinates of the intersection point of the lines represented by the equations 2x + y = 7 and x - 3y = 1?

What is the equation of the line passing through the points (1, 2) and (5, -3) in a coordinate plane?

What is the distance between the points (-1, 2) and (5, -3) in a coordinate plane?

What are the coordinates of the centroid of the triangle with vertices at (1, 2), (4, 5), and (7, 1)?

What are the coordinates of the intersection point of the lines represented by the equations 3x + 4y = 12 and 6x - 2y = 4?

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