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notka56 [123]
3 years ago
12

XYZ is reflected across the line x = 3. What is the reflection image of Z?

Mathematics
2 answers:
vodomira [7]3 years ago
6 0
Z will be at (3,4) because it’s on the reflection line so it stays the same
Novosadov [1.4K]3 years ago
6 0

Answer:

The coordinates of reflection image of Z are (3,4).

Step-by-step explanation:

If a figure reflected across the line x = a, then

(x,y)\rightarrow (-x+2a,y)

XYZ is reflected across the line x = 3, so the reflection rule can be defined as

(x,y)\rightarrow (-x+6,y)

From the given figure it is clear that the coordinates of Z are (3,4). The coordinates of reflection image of Z are

Z(3,4)\rightarrow Z'(-3+6,4)

Z(3,4)\rightarrow Z'(3,4)

Therefore the coordinates of reflection image of Z are (3,4).

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