The regular octagon abcdefgh rotates 135º clockwise about its center to form octagon a′b′c′d′e′f′g′h′. point a′ of the image coincides with point of the preimage. point b′ of the image coincides with point of the preimage.

Point A' will coincide D and B' will coincide with E.

Step-by-step explanation:

In the figure attached we have regular octagon ABCDEFGH. It's a regular octagon means all it's sides are equal and central angle of one sector out of 8 sectors formed will be =

Now this octagon is rotated about it's center to form new octagon A'B'C'D'E'F'G'H'

Since angle of rotation is 135° clockwise which means octagon is rotated by 45×3 = 3×(central angle of one sector)

After rotation clockwise new image will coincide like this

A = F'

B = G'

C = H'

D = A'

E =  B'

F = C'

G = D'

H = E'

Now we can easily tell that point A' will coincide with the point D of preimage. Similarly point B' of the image will coincide with the point E.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk