Question

Which is a possible location for point C so thatARST is similar to ACAB?6T.4.B54NW1ONx-65 -4 -3 -2 -1 0 1 2 3 4 5 6- 4 3 4 G 9SR0 (-2, 1)(-2, 0)(3,0)(3, 1)

Answer 1

the triangle RST, we can measure the sides, and we get:

if we want the triangle ABC to be similar, has to be a right angle so the value of X has to be -2 or 3. let's see the triangles we have on each option:

So, triangles A and C have the same proportions that triangle RST, (half of each side)

so the correct option is between these two, now if we rotate the triangle RST, we get a similar triangle that A. (rotate until the side SR is vertical)

so the answer is: (-2,1)