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.

Reflection

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Answer

From graph paper,

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. Model Paper 2, Concise Mathematics Solutions ICSE Class 10.

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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