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

Three corners of a rectangle are (-3, -1), (2, -1) and (2, 5)…

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

Three corners of a rectangle are $(-3, -1)$ , $(2, -1)$ and $(2, 5)$ . Find the fourth corner, the area and the perimeter.

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

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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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← Find the reflection of the point (-5, 2) in (a) the x-axis, (b) the y-axis, (c) the origin…Find the distance between each pair of points. (-7, -3) and (4, -3); (-5, 6) and (-5, -2) →

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