Answer:
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)
