Given the point a(-3, 5) find the image after the following glide reflection:
translation: (x, y) -> (x - 6, y - 1)
reflection: in x= -1
(7,4)
(3,4)
o(-3,4)
o(-7,-4)

(7, 4 )

Step-by-step explanation:

Under the rule (x, y ) → (x - 6, y - 1 ), then

A(- 3, 5 ) → (- 3 - 6, 5 - 1 ) → (- 9, 4 )

Reflecting (- 9, 4 ) in the line x = - 1

x = - 1 is a vertical line, thus under the reflection the y- coordinate remains unchanged.

- 9 is 8 units to the left of the line x = - 1, hence

The x- coordinate of the reflection will be 8 units to the right of x = - 1

(- 9, 4 ) → (- 1 + 8, 4 ) → (7, 4 )

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .