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प्रश्न
Locate the points A(1, 2), B(3, 4) and C(5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rhombus ABCD. Measure the diagonals of this rhombus and find whether they are equal or not.
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उत्तर
Given points are A(1, 2), B(3, 4) and C(5, 2).
Location of given points on the graph given below.
To complete the rhombus the fourth point will be (3, 0).
∴ The Length of the diagonals, AC = BD = 4 units and they are equal.
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| Point | (x, y) |
| A | (1, 1) |
| B | (4. 4) |
| C | (8, 4) |
| D | (5, 1) |
Table I
| Point | (0.5x, 0.5y) |
| E | (0.5, 0.5) |
| F | |
| G | |
| H |
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| Point | (2x, 1.5y) |
| J | (2, 1.5) |
| K | |
| L | |
| M |
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