Mathematics
On a graph paper, plot the triangle ABC whose vertices are at the points A(4, 2), B(4, -1) and C(6, 3). On the same graph, draw the image of the triangle ABC under reflection in the line x = 2. Mark any two points on the graph paper which are invariant under this reflection. Also, write the co-ordinates of points marked.
Answer
From graph paper,
On reflecting A(4, 2), B(4, -1) and C(6, 3) in the line x = 2, we get triangle A'B'C'.
Coordinates of A' = (0, 2), B' = (0, -1) and C' = (-2, 3).
We know that,
Any point on the line is invariant under the reflection in same line.
Let I and J be the points on the line.
From figure,
Coordinates of I = (2, 4) and J = (2, -2).
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