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Home » 14. A(4, 1), B(2, 3) and C(5, 6) are the vertices of a figure which is symmetrical about x = 7. Complete the figure and give the geometrical name of the figure if any.
14. A(4, 1), B(2, 3) and C(5, 6) are the vertices of a figure which is symmetrical about x = 7. Complete the figure and give the geometrical name of the figure if any.
CBSE | Class 10 | Class 10 | Frank | Maths | Symmetry
14. A(4, 1), B(2, 3) and C(5, 6) are the vertices of a figure which is symmetrical about x = 7. Complete the figure and give the geometrical name of the figure if any.

Solution:-

Steps for marking the points on graph:

1. As per the given data plot the points A(4, 1), B(2, 3) and C(5, 6) on the graph.

2. Condition given the question, a figure which is symmetrical about x = 7.

3. So, point symmetric to A(4, 1) about x = 7 is D(10, 1)

4. Point symmetric to B(2, 3) about x = 7 is E(12, 3)

5. Point symmetric to C(5, 6) about x = 7 is F(9, 6)

5. Now join AB, AC, BC, AD, DE, DF, EF and CF

Therefore, the obtained figure is a trapezium ADCF with two equal scalene triangles i.e.\Delta ABC and \Delta DEF are attached to it.

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