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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)?

(0, 0) Signup and view all the answers

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

The average of the x or y coordinates of the two points. 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?

It will be the average of two negative values. Signup and view all the answers

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

The mid-point coordinates are independent of the order of points A and B. 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?

The mid-point will move further away from the origin. 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?

The sum of the x-coordinates of A and B is 10. 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?

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