What is the image point of (8, -9) after the transformation R90° 0 T5,-2?

The image of the point (8,-9) after the given transformation is (11,13) and this can be determined by using the rules of transformation.

Given :

Point - (8,-9)

The following steps can be used to determine the image of the point after transformation:

Step 1 - As per the given data translate the point (8,-9) by (5,-2).

Step 2 - Now, again as per the given data rotate the above points by counter-clockwise.

So, the image of the point (8,-9) after the given transformation is (11,13).

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Given:

The point is (8,-9).

Rule of transformation .

To find:

The image of given point after transformation.

Solution:

Consider the give point is P(8,-9).

Rule of transformation represents translation T<5,-2> after that rotation 90 degrees counter clockwise.

If a figure translated by T<5,-2>, then

If a figure rotated 90 degrees counter clockwise, then

Therefore, the image of point (8,-9) after transformation is (11,13).