CAIE IGCSE Mathematics Extended E3.1.1 Use and Interpret Cartesian Coordinates in Two Dimensions Questions

Locate and interpret points in Extended CAIE IGCSE Mathematics by working with ordered pairs and using geometric or displacement information to find missing coordinates.

Exam points

Interpret ordered coordinate pairs and displacement components to find an endpoint's x- and y-coordinates separately.
Use known point coordinates and geometric conditions to determine missing coordinates, including a midpoint or the remaining vertices of a square.

[Maximum number: 4]

In the square A B C D, A has coordinates (-2,1) and B has coordinates (1,5). C has coordinates (a, b), where a and b are both positive integers.

Find the coordinates of C and the coordinates of D.
You may use the grid to help you.

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CAIE IGCSE Mathematics Extended E3.1.1 Use and Interpret Cartesian Coordinates in Two Dimensions Questions question 1