Midpoint Formula (Leaving Cert Mathematics): Quizzes

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Midpoint Formula
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What does the midpoint formula find?

The exact centre of a line segment

What is the midpoint formula for points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)?

M=(x1+x22,y1+y22)M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)

What operation does the midpoint formula perform on the coordinates?

Averages them

The midpoint formula divides a line segment into how many equal parts?

Two

Why is the midpoint equidistant from both endpoints?

It averages the coordinates

Find the midpoint of the segment joining A(2,3)A(2, 3) and B(4,7)B(4, 7).

(3,5)(3, 5)

Find the centre of a diagonal connecting (−3,−2)(-3, -2) and (5,6)(5, 6).

(1,2)(1, 2)

What is the midpoint of points (0,0)(0, 0) and (6,8)(6, 8)?

(3,4)(3, 4)

Which areas use the midpoint formula?

Geometry and coordinate problems

What real-world problem can the midpoint formula solve?

Finding the middle of a journey

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