Question

which figure can we transformee into figure k by a reflection across the x-axis and dilation of 1/2.

Answer 1

The rule for reflecting a point through the x-axis is (x, -y) and to dilation is (1/2x, 1/2y):

Now, let's se what figure can be transformed into figure K:

J

(8, 4), reflecting through x-axis (8, -4), dilation (4, -2) --> This point meets figure K

Let's prove with another point of J:

(4, 4) ---> (4, -4) ---> (2, -2) --> This point also meets figure K

Then we can say that figure J can be transformed into figure K