Question

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4). What is the rule for the reflection? rx-axis(x, y) → (–x, y) ry-axis(x, y) → (–x, y) rx-axis(x, y) → (x, –y) ry-axis(x, y) → (x, –y

Answer 1

Answer:

b

Step-by-step explanation:

trusss

Answer 2

The rule of reflection is ry-axis (x , y) → (-x , y) ⇒ 2nd answer

Step-by-step explanation:

Let us revise some transformation

• 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)

∵ The first quadrilateral has vertices

   A (-2 , 1) , B (-4 , 1) , C (-4 , 5) , D (-2 , 4)

∵ The second quadrilateral has vertices

    A' (2 , 1) , B' (4 , 1) , C' (4 , 5) , D' (2 , 4)

- The x-coordinates of point A' , B' , C' , D' have the same values

   and opposite signs of the x-coordinates of points A , B , C , D

∴ A' , B' , C' , D' are the images of A , B , C , D after reflection

   across the y-axis

∴ The rule of reflection is ry-axis (x , y) → (-x , y)

The rule of reflection is ry-axis (x , y) → (-x , y)

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