Respuesta :
Given:
The triangle ABC is at A = ( - 1, 5 ) B = ( 1, 1 ) C = ( 2, 3 ), and if the triangle is reflected across the line x = 4.
Required:
To find the new position of point C'.
Explanation:
The coordinate point of C is (2,3).
Now, we should reflect point C with respect to the line x=4, let the reflected point coordinates be (h,k).
Since C is reflected with respect to line x= 4 which is parallel to y-axis, So the y -coordinate will be same.
Moreover, the midpoint of C and reflected point (h,k) lies on line 4.
Therefore,
[tex]\begin{gathered} \frac{h+2}{2}=4 \\ \\ h+2=8 \\ \\ h=8-2 \\ \\ h=6 \\ \\ k=3 \end{gathered}[/tex]Therefore the reflected point is (6,3)
Final Answer:
The coordinate point os c' is
[tex](6,3)[/tex]