The coordinates of the triangle after reflection over the line x= 1 will be A'(5,0), B' (2,4) and C'(2,0)
The first thing we need to do here is to label the coordinates of the vertices of the triangle
What we need here is to know the coordinates of the points A,B and C on the graph
Let us have our scale as 1 cm representing 1 unit on both axes
We have the coordinates of the vertices as follows;
A = (-3, 0)
B = (0,4)
c = (0,0) ; it is at the origin
Now, we will perform a reflection on these coordinates over the line x= 1
To perform a reflection over the line x = 1,
Matematically given that we want to reflect over a line with equation x = b,
The coordinates of the reflected point will be;
(2b-x, y)
So for A (-3,0); A' will be (2(1)-(-3), 0) = (5,0)
For B (0,4), B' will be (2(1)-0, 4) =(2,4)
C' will be (2(1)-0, 0) = (2,0)
So the coordinates of the reflected image will be;
A'(5,0) , B' (2,4) , C (2,0)
Hence, we proceed to get these points on the graph.
After locating them, we join them together to form a triangle
