Coordinate Geometry Concepts Quiz
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Questions and Answers

Which of the following points meets the condition $x > -2$?

  • Point E (correct)
  • Point D
  • Point F (correct)
  • Point A

    • Which of the following points meets the condition $y < 1$?

  • Point E (correct)
  • Point C (correct)
  • Point H (correct)
  • Point B

    • Which point is located three units to the right of the origin and two units above the x-axis?

  • Point G
  • Point E
  • Point F (correct)
  • Point A

    • If a student plots a point 4 units away from point A, which of the following could be a possible point?

    <p>(3, 4)</p> Signup and view all the answers

    Which option correctly identifies a point with both coordinates negative?

    <p>Point D</p> Signup and view all the answers

    If point G is located at $(-1.5, 2)$, what is its y-coordinate?

    <p>2</p> Signup and view all the answers

    Based on the coordinates presented, which point lies in the second quadrant?

    <p>(-1.5, 2)</p> Signup and view all the answers

    Which among the following points has the maximum absolute values for both x and y coordinates?

    <p>(-32, 22)</p> Signup and view all the answers

    What is the area of a rectangle with specified dimensions that result in a value of 28 square units?

    <p>7 units by 4 units</p> Signup and view all the answers

    For the points (4, -7) and (-3, -7), what is the length of the line segment formed, and is it horizontal or vertical?

    <p>Length: 7 units, Horizontal</p> Signup and view all the answers

    What coordinates can be endpoints of a line segment that is 6 units long from the point (2, -3)?

    <p>(2, -9) and (8, -3)</p> Signup and view all the answers

    If a square has a perimeter of 24 units, what is the length of each side?

    <p>6 units</p> Signup and view all the answers

    What is the distance between the points (7, 2) and (-2, 2)?

    <p>9 units</p> Signup and view all the answers

    Which of the following describes a rectangle with a perimeter of 24 units?

    <p>Length 8 units, Width 4 units</p> Signup and view all the answers

    How would a square with an area of 36 square units be defined in terms of its side length?

    <p>Side length 6 units</p> Signup and view all the answers

    What is the distance between the points (-2, 6) and (-2, -1)?

    <p>7 units</p> Signup and view all the answers

    What is the perimeter of a rectangle formed by the points (4, 7), (6, 7), (6, 5), and (4, 5)?

    <p>24 units</p> Signup and view all the answers

    In which quadrant would the coordinates of the vertices of a square with positive x-values be located?

    <p>Quadrant I</p> Signup and view all the answers

    What is the area of a rectangle defined by points (1, 5), (1, 1), (4, 1), and (4, 5)?

    <p>28 units squared</p> Signup and view all the answers

    How long is the line segment between the points (7, 2) and (-2, 2)?

    <p>9 units</p> Signup and view all the answers

    Which set of coordinates could be a possible endpoint of a line segment that is 6 units long from the point (2, -3)?

    <p>(5, -3)</p> Signup and view all the answers

    What type of line segment is formed by the endpoints (4, -7) and (-3, -7)?

    <p>Horizontal</p> Signup and view all the answers

    Determine the length of the segment joining the endpoints (5, 6) and (-4, 6). Is it horizontal or vertical?

    <p>9 units, horizontal</p> Signup and view all the answers

    If a square has a perimeter of 24 units, what is the length of each side?

    <p>6 units</p> Signup and view all the answers

    Which of the following points meets the condition $x > -2$?

    <p>(3, 0)</p> Signup and view all the answers

    Which of the following points meets the condition $y < 1$?

    <p>(5, -4.5)</p> Signup and view all the answers

    Which point is located three units to the right of the origin and two units above the x-axis?

    <p>(3, 2)</p> Signup and view all the answers

    Which student correctly plotted a point 4 units away from point A, (3, 0)?

    <p>Jonah: (4, 3)</p> Signup and view all the answers

    Which quadrant would the point (-2, -5) be located in?

    <p>Quadrant III</p> Signup and view all the answers

    If point C is (2, -22), what can be said about its position in relation to the x-axis?

    <p>It is below the x-axis.</p> Signup and view all the answers

    What is the x-coordinate of point F, which is given as (-42, -4)?

    <p>-42</p> Signup and view all the answers

    Which point has both coordinates that are positive?

    <p>(12, 12)</p> Signup and view all the answers

    What happens to the x-coordinates of points when they are reflected over the y-axis?

    <p>They become their opposites.</p> Signup and view all the answers

    Which ordered pair represents the middle of segment BC?

    <p>(-1, -4)</p> Signup and view all the answers

    Which point is represented by the ordered pair (-4, 32)?

    <p>Point D</p> Signup and view all the answers

    What is the ordered pair that represents two units to the right of the origin and one unit below the x-axis?

    <p>(2, -1)</p> Signup and view all the answers

    What remains unchanged when a figure is reflected over the y-axis?

    <p>The y-values of the points.</p> Signup and view all the answers

    What is the ordered pair that represents the middle of segment AB?

    <p>(2, -22)</p> Signup and view all the answers

    How do the x-coordinates change compared to their original values after a reflection over the y-axis?

    <p>They change signs.</p> Signup and view all the answers

    Which point is at the ordered pair (2, -1)?

    <p>Point A</p> Signup and view all the answers

    Study Notes

    Coordinate Plane

    • There are four quadrants on a coordinate plane: I, II, III, and IV
    • Points on the x-axis have a y-coordinate of 0
    • Points on the y-axis have an x-coordinate of 0
    • The origin is the point (0,0)
    • The point (2, -1) is two units to the right of the origin and one unit below the x-axis
    • The point (-4, 32) is four units to the left of the origin and 32 units above the x-axis

    Reflecting Points

    • When a figure is reflected over the y-axis, the y-values stay the same, while the x-values change signs
    • The reflection of point (-8, 5) across the y-axis is (8, 5)

    Locating Rational Number Ordered Pairs

    • The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints
    • The midpoint of segment BC is (-1, -4)
    • The midpoint of segment AB is (2, 1/2)

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    Description

    Test your understanding of the coordinate plane and its quadrants, reflection of points, and locating rational number ordered pairs. This quiz covers essential concepts including midpoints and point positioning on the Cartesian plane.

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