Gr 10 Math Ch 7: Mid Point of a Line
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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) (A)</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. (A)</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. (D)</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. (A)</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. (B)</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. (C)</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. (D)</p> Signup and view all the answers

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