Question

When the transformation (x,y) → (x + 10, y + 5) is

performed on point A, its image, point A', is on the origin
What are the coordinates of A? Justify your answer.

Answer 1

The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is performed on point A.

Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.

Since the transformation (x,y) → (x + 10, y + 5) is performed on A.

A = (0 - 10, 0 - 5)

If we are going from the pre-image to the image, we will translate to the left and downwards

A = (-10, -5)

Hence the coordinates of A will be at (-10, -5)

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