MediumMathematicsHigh School (9–10)GeneralCoordinate Geometry › The Cartesian PlaneNumerical

Find the distance between each pair of points. (-7, -3) and (4, -3); (-5, 6) and (-5, -2)

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Find the distance between each pair of points.

$(-7, -3)$ and $(4, -3)$

$(-5, 6)$ and $(-5, -2)$

Need a reminder? The key ideaShow

Reflection in the x-axis: $(x, y) \to (x, -y)$ . In the y-axis: $(x, y) \to (-x, y)$ . In the origin: $(x, y) \to (-x, -y)$ . Along a line parallel to an axis, a distance is the difference of one coordinate.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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← Three corners of a rectangle are (-3, -1), (2, -1) and (2, 5).A(-1, 1), B(3, 1) and C(4, 8) are three corners of the parallelogram ABCD. →

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