Question

Susan will rotate triangle ABC 180° about one of the labeled points. Susan says, "The image will not touch the pre-image at all."
Which points could be her center of rotation?

Select each correct answer.

Point A
Point B
Point C
Point D
Point E
Point F

https://us-static.z-dn.net/files/d32/5e43757a7c9a52cb14cae0cb67de607f.jpg

Answer 1

I would have to say "Point E" and "Point F
"

Answer 2

let me look to see if I can find any other

Answer 3

No, the other points make it where the image is still touching its previous location.
D would just flip the triangle, A, B, and C would keep there point while the rest of the triangle moved. :P Hope I Helped

Answer 4

Thank You:) It Was Hard For Me To Answer This Because I wasn't Able To Learn It:(

Answer 5

you can find the answer by drawing all the reflections about 180 degrees. I have done the case for rotation about E.
Draw a line joining AE and extend EA' such that mEA'=mEA.
Similarly for B and C. You will find the image A'B'C' and hence find out if E is a candidate for the answer.
Also note that rotation about any point ON or INSIDE the original triangle will always result in an image that touches the preimage.