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 c

point d

point e

point f

The correct options are 3 and 4.

Step-by-step explanation:

It is given that Susan will rotate triangle ABC 180° about one of the labeled points.

We need to find the center of rotation, so that the image will not touch the pre-image at all.

The given points are A, B, C, D, E, F.

Points A, B and C vertices of the triangle. If triangle rotated 180° about its vertices then image and preimage are connected at that vertices.

Point D lies inside the triangle. If triangle rotated 180° about point D then image and preimage will touch each other.

Points E and F lie outside the triangle. If triangle rotated 180° about point E or F then image and preimage of triangle are on the opposite sides of the point or rotation.

So we can conclude that the image will not touch the pre-image at all if it is rotated 180° about point E or F.

Therefore the correct options are 3 and 4.

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6