Question

Given the triangle ABC at points A = ( 1, 6 ) B = ( - 3, 5 ) C = ( 7, 1 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.

Answer 1

If the point (x, y) is reflected on the y-axis we will change the sign of its x-coordinate to be (-x, y)

Then if it is reflected across the x-axis, then we will change the sign of the y-coordinate to be (-x, -y)

Since point A = (1, 6)

Since it is reflected across the y-axis, then

A' = (-1, 6)

Since A' is reflected across the x-axis, then

A'' = (-1, -6)

The answer is A'' = (-1, -6)