Mathematics

Use a graph sheet for this question. Take 1cm = 1 unit along both x and y-axes.

(i) Plot the points : A(0, 5), B(3, 0), C(1, 0) and D(1, -5).

(ii) Reflect the points B, C and D on the y-axis and name them as B', C' and D' respectively.

(iii) Write down the coordinates of B', C' and D'.

(iv) Join the points A, B, C, D, D', C', B', A in order and give a name to the closed figure ABCDD'C'B'.

Reflection

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Answer

Parts (i) and (ii) are solved in the graph below:

Use graph paper for this question (take 2cm = 1 unit along both x and y axis). (i) Plot the points : A(0, 5), B(3, 0), C(1, 0) and D(1, -5). (ii) Reflect the points B, C and D on the y-axis and name them as B', C' and D' respectively. (iii) Write down the coordinates of B', C' and D'. (iv) Join the points A, B, C, D, D', C', B', A in order and give a name to the closed figure ABCDD'C'B'. Reflection, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

(iii) From graph we get,

The coordinates of B', C' and D' are (-3, 0), (-1, 0) and (-1, -5) respectively.

(iv) From graph we get,

The closed figure (ABCDD'C'B') formed is a heptagon/septagon (i.e., a polygon with seven sides).

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