Question

Please help me :(

Nestor will rotate triangle ABC 180° about one of the labeled points. Nestor says, “The image will touch the pre-image at more than one point.”

Which points could be his center of rotation?

Select each correct answer.

point C

point D

point E

point F

Answer 1

Point D and Point E

Explanation:

I already took the quiz

Answer 2

We can solve this problem by correctly analyzing the location of the points.

If the center of rotation is a point outside the triangle, then this would mean that there would be quadrant shift (revolution) of the whole triangle itself. Hence this would mean that the resulting triangle will not touch the pre-image at any point at all.

If the center of rotation is a point on the perimeter of the triangle, this would also result in a quadrant shift (revolution) or movement of the triangle.

Now if the center of rotation is a point inside the triangle, then this would be a simple rotation on its own quadrant hence the resulting image will touch the pre-image at more than one point. Hence the correct points are:

point D and point E