Kim performed a transformation on rectangle abcd to create rectangle a'b'c'd', as shown in the figure below:
what transformation did kim perform to create rectangle a'b'c'd'?
rotation of 270 degrees counterclockwise about the origin
reflection across the line of symmetry of the figure
reflection across the y-axis
rotation of 90 degrees counterclockwise about the origin

answer:

option a is correct.

rotation of 270 degrees counterclockwise about the origin

step-by-step explanation:

the rule of rotation 270 degrees counterclockwise about the origin is given by:

from the figure:

the coordinates of rectangle abcd are

a(-1, 2),   b(-1, 5), c(-3, 5) and d(-3, 2)

the coordinated of rectangle a'b'c'd' are

a'(2, 1),   b'(5, 1), c'(5, 3) and d'(2, 3)

these points are in the form of

therefore, the transformation did kim perform to create rectangle a'b'c'd' is:

rotation of 270 degrees counterclockwise about the origin

answer: i am pretty sure it is

reflection across the line of symmetry of the figure

i hope this

the answer is b; false. 2 dimensional things are a lot more different from 3 dimensional things.

i hope this ! : d

"stay and stay proud! " - zalgo

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3