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

Question

asked Feb 14, 2019 103k views

2 Answers

Ghassan Zein · Answer 1 · 2019-02-21T10:12:27+0000

Answer:

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

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).