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Home » 10. Take a graph paper and mark the points A(2, 0), B(2, 8) and C(5, 4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.
10. Take a graph paper and mark the points A(2, 0), B(2, 8) and C(5, 4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.
CBSE | Class 10 | Class 10 | Frank | Maths | Symmetry
10. Take a graph paper and mark the points A(2, 0), B(2, 8) and C(5, 4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.

Solution:-

Steps for marking the points on graph:

1. As per the given data plot the points A(2, 0), B(2, 8) and C(5, 4) on the graph.

2. Join AB and BC.

3. Condition given the question, taking AB as the line of symmetry.

4. So, point D symmetrical about AB is a point with vertices x = -1 and y = 4 (because from point A to C in vertices x there are 3 units and in y there are 4 units)

5. Now plot point D(-1, 4)

6. Join BD.

Therefore, the obtained figure is an arrow.

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