Which rule describes the composition of transformations
that maps ajkl to aj"k"l"?
r0. 9000 to, -2(x, v)
t0, -2 ro, 900(x, y)
r0, 900 0 t-2, olx, y)
t-2,00 ro, 900(x, y)

The rule is R(o , 90°) and T (x - 2 , y)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) rotated about the origin by angle 90°  then its image

 is (-y , x)  ⇒ (90° means anticlockwise)

- If the point (x , y) translated horizontally to the left by h units  then

 its image is (x - h , y)

- In the figure Δ LJK has vertices L (2 , -2) , J (2 , -4) , K (5 , -4)

- If Δ LJK rotates 90° (anticlockwise) around the origin, then

 change the sign of y-coordinates of each vertex and switch x and y

 coordinates of each vertex

∴ The image of point L is L' = (2 , 2)

∴ The image of point J is J' = (4 , 2)

∴ The image of point K is K' = (4 , 5)

∵ The vertices of Δ L"J"K" are

  L" = (0 , 2)

  J" = (2 , 2)

  K" = (2 , 5)

- By comparing the vertices of Δ L'J'K' and Δ L"J"K", we will find

 each x-coordinate of Δ L'J'K' subtracted by 2 to give the vertices

 of Δ L"J"K"

∴ Δ L'J'K' is translated to the left by 2 units

∴ Δ LJK Rotates around the origin by 90° anticlockwise and translates

  2 units to the left

* The rule is R(O , 90°) and T (x - 2 , y)

yes

step-by-step explanation: