The midpoint of a line joining two points (AQA GCSE Further Maths): Quizzes

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The midpoint of a line joining two points
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What is the midpoint of a line segment?

The exact center point

Where does the midpoint sit between two points on a coordinate plane?

Halfway horizontally and vertically

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

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

What does the midpoint formula calculate?

The mean of x-coords and y-coords

Find the midpoint of points (2,6)(2, 6) and (8,10)(8, 10).

(5,8)(5, 8)

What is the midpoint of A(−4,2)A(-4, 2) and B(2,5)B(2, 5)?

(−1,3.5)(-1, 3.5)

Find the midpoint of points P(a,b)P(a, b) and Q(3a,5b)Q(3a, 5b).

(2a,3b)(2a, 3b)

The midpoint formula works with which types of coordinates?

All types: positive, negative, fractions

Where is the midpoint of a rectangle's diagonal?

At the center of the rectangle

A student calculates 3+72\frac{3+7}{2} for x but forgets to divide by 2 for y. What error is this?

Forgot to divide both coords by 2

What memory aid helps remember the midpoint formula?

Average the x's, average the y's

Find the midpoint of (1,3)(1, 3) and (4,8)(4, 8).

(2.5,5.5)(2.5, 5.5)

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Coordinate geometry

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Coordinate geometry

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Geometry II

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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