50 POINTS BRAINLIEST IF CORRECT NEED ASAP Given the graph of rectangle QUAD and its reflection. Use the coordinates of the images' vertices, Q and Q' to algebraically find the line of reflection. In your final answer, include all of your work.
![50 POINTS BRAINLIEST IF CORRECT NEED ASAP Given the graph of rectangle QUAD and its reflection Use the coordinates of the images vertices Q and Q to algebraical class=](https://us-static.z-dn.net/files/d9d/2829e74fa9819d8a6246138eca9c6307.jpg)
Answer:
x=1/2
Step-by-step explanation:
Given is the graph of rectangle QUAD and its reflection.
We find that there is a line in the middle which is the line of reflection.
To find the line of reflection:
Take the coordinates of any one vertex
(say)
U(-2,2) and U' = (3,2)
The y coordinate remains the same
Hence the line of reflection can be only a vertical line of the form x =a
Since mirror lies exactly in the middle we find the line of reflection has to pass through mid point of U and U'
Mid point of UU' = (1/2, 2)
Since line of reflection is of the form x=a, and it passes through (1/2,2)
the line of reflection is
[tex]x=\frac{1}{2}[/tex]