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Gr 10 Math Ch 7: Mid Point of a Line
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Gr 10 Math Ch 7: Mid Point of a Line

Created by
@RaptOganesson

Questions and Answers

What is the correct formula to find the x-coordinate of the mid-point of a line segment between points A and B?

  • $x = rac{2x_1 + 2x_2}{2}$
  • $x = rac{x_1 + x_2}{2}$ (correct)
  • $x = x_1 + x_2$
  • $x = rac{x_1 - x_2}{2}$

    • If point A has coordinates (2, 3) and point B has coordinates (8, 5), what are the coordinates of the mid-point M?

  • (6, 4)
  • (5, 4) (correct)
  • (7, 3)
  • (4, 4)

    • Which of the following statements about the mid-point formula is false?

  • The mid-point can be applied to any line segment.
  • The mid-point coordinates are always whole numbers. (correct)
  • The mid-point divides the line segment into two equal parts.
  • Both coordinates of the mid-point are averages of the respective point coordinates.

    • What would be the mid-point M if point A is (-4, 1) and point B is (4, -1)?

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

    In the mid-point formula, what does the fraction signify?

    <p>The average of the x or y coordinates of the two points.</p> Signup and view all the answers

    If the coordinates of points A and B are both negative, what will the x-coordinate of the mid-point M indicate?

    <p>It will be the average of two negative values.</p> Signup and view all the answers

    Which of the following statements about the mid-point formula is correct?

    <p>The mid-point coordinates are independent of the order of points A and B.</p> Signup and view all the answers

    What is the effect on the mid-point M when both points A and B are moved equally in the positive direction along the x-axis?

    <p>The mid-point will move further away from the origin.</p> Signup and view all the answers

    Given the mid-point coordinates M(5, 7), what can be concluded about the coordinates of points A and B?

    <p>The sum of the x-coordinates of A and B is 10.</p> Signup and view all the answers

    What changes occur to the mid-point M if point A is fixed and point B moves infinitely far away in the positive x-direction?

    <p>The mid-point M will approach infinity in the positive x-direction.</p> Signup and view all the answers

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