Regular hexagon ABCDEF is inscribed in a circle with center H. a. What is the image of segment BC after a 120-degree clockwise rotation about point H?

b. What is the image of segment BC after a reflection over line FC?

Answer both questions in the box below.
plz help me

The transformation of a shape includes rotating and reflecting the shape;

(a) Image of BC after rotation

First, we calculate the angle of rotation, to make the hexagon lie onto itself

Where:

--- angle at the center of the hexagon and the circle

-- sides of hexagon

So, we have:

This means that a rotation would make the hexagon lie onto itself.

We have that:

This means that the shape can be rotated  twice to achieve the rotation.

The image of BC at the first rotation is AB

The image of BC at the next rotation is FA

Hence, the image of BC after is FA

(b) Image of BC after reflection over line FC

Line FC divides the hexagon into equal halves.

So, when reflected over line FC, each segment would be flipped on the opposite segment.

The opposite of segment BC is DC.

Hence, the image of BC reflecting over FC is DC.

Read more about transformations at:

link

I'm uploading a picture because it thought it had innapropriate words for some reason.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

a) 7x=7

step-by-step explanation: