Which coordinates could be the vertices of a triangle similar to triangle RST?

{original triangle coordinates R(0,0); S(0,4); T(3,0)}

a. (2,2), (2,6), and (6,0)***
b. (0,0), (0,6), and (10,0)
c. (2,2), (2,10), and (6,2)
d. (0,0), (0,8), and (6,0)

2 answers

Please help Steve!
RST has sides RS=4, RT=3, ST=5
If the other triangles are ABC, then we have

(a) AB=4, AC=√20, BC=√20
As you can see, the various sides are not all the same multiple of RST's sides.

You will need to check the others to see whether their sides are in the ratio 4:3:5 as well.