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cluponka [151]
2 years ago
8

Find the image of A(4, -2) after it is reflected over the line y= 2, then reflected over the line x = 2.

Mathematics
1 answer:
Molodets [167]2 years ago
3 0

Answer:

(0,6)

Step-by-step explanation:

we have the point

A(4,-2)

step 1

Find the image after it is reflected over the line y= 2

The distance of the point A to the line y=2 is equal to 4 units

so

The rule of the reflection is equal to

(x,y) ------> (x,2+4)

A(4,-2) ---> A'(4,6)

step 2

Find the image after it is reflected over the line x= 2

The distance of the point A' to the line x=2 is equal to 2 units

so

The rule of the reflection is equal to

(x,y) ------> (2-2,y)

A'(4,6) ---> A''(0,6)

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