Coordinate geometry (AQA GCSE Further Maths): Quizzes

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The distance between two points
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Which theorem is used to find the distance between two points on a coordinate plane?

Pythagoras' theorem

In the right-angled triangle method, what does the distance between two points represent?

The hypotenuse

How do you find the horizontal distance between two points?

Subtract the x-coordinates

How do you find the vertical distance between two points?

Subtract the y-coordinates

What is the distance between P(3, 1) and Q(6, 5)?

5 units

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

(x2x1)2+(y2y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Why do we square both distances in the distance formula?

To ensure positive values

Why doesn't the order of subtraction matter when finding distance?

The result is squared

How can you check if your distance answer makes sense?

It's longer than horizontal or vertical

What can be said about the value of distance between two points?

It is always positive

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