Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?

Given :

Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'.

To Find :

What are the coordinates of X'Y'Z .

Solution :

Let , the points are .

When any point ( h , k ) is rotated 90° counterclockwise about the origin the new point produced is ( -k , h).

So , applying same concept in XYZ :

.

Therefore , transformed points are .

Hence , this is the required solution .

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