Question

The following transformations are performed on the right triangle, in the order shown below.• Reflect about the y-axis.• Translate 6 units in a positive y-direction.• Translate 3 units in a positive x-direction.What are the coordinates of vertex W after all three steps?

Answer 1

B) W'''(6,0)

1) Let's locate the points at first:

U (3, -2)

V (7,-2)

W (3, -6)

A Reflection about the y-axis follows this rule:

Pre-image Rule Image

(x, y) (x, -y)

W (3, -6) W' (3,6)

2) Let's apply now the other transformation over point W

To translate 6 units in a positive y-direction (that means to go up) therefore to subtract 6 units to the y-coordinate

W' (3,6) (x, y-6) W'' (3, 0)

And finally, let's translate that Image 3 units in the positive x-direction (to the right)

W''(3,0) (x+3, y) W'''(6,0)

3) Hence, the answer is B