Answer:
The rule of the reflection is rx-axis(x, y) → (x, –y) ⇒ 3rd answer
Step-by-step explanation:
Let us revise the reflection on the axes
If point (x , y) reflected across the x-axis , then its image is (x , -y) , the rule of reflection is rx-axis (x , y) → (x , -y)
If point (x , y) reflected across the y-axis , then its image is (-x , y) , the rule of reflection is ry-axis (x , y) → (-x , y)
In Δ LMN
∵ L = (-4 , 2)
∵ M = (-5 , 4)
∵ N = (-2 , 3)
In ΔL'M'N'
∵ L' = (-4 , -2)
∵ M' = (-5 , -4)
∵ N' = (-2 , -3)
The signs of y-coordinates of the vertices of Δ LMN are changed, that means Δ LMN are reflected across the x-axis
∵ The y-coordinate of L is 2 and the y-coordinate of L' is -2
∵ The y-coordinate of M is 4 and the y-coordinate of M' is -4
∵ The y-coordinate of N is 3 and the y-coordinate of N' is -3
∴ Δ LMN is reflected across the x-axis
∴ The image of point (x , y) is (x , -y)
The rule of the reflection is rx-axis(x, y) → (x, –y)
