Where is point B(2,1) after a translation of 5 unit right, then 4 units up, followed by a rotation of 180°

around the origin. the answer is not (-7,-5)

1 answer

To find the image of point B(2,1) after a translation of 5 units to the right, we add 5 to the x-coordinate and keep the y-coordinate the same. So the new point is B'(7,1).

Next, we perform a translation of 4 units upwards. We keep the x-coordinate the same and add 4 to the y-coordinate. So the new point is B''(7,5).

Finally, we rotate the point 180° around the origin. This means we multiply the coordinates by -1. So the new point is B'''(-7,-5).

Therefore, the image of point B(2,1) after the given transformation is B'''(-7,-5).