Mathematics
Use graph paper for this question.
Take 1 cm = 1 unit on both the axes.
(i) Plot the following points on your graph sheet:
A(-4, 0), B(-3, 2), C(0, 4), D(4, 1) and E(7, 3)
(ii) Reflect the points B, C, D and E on the x-axis and name them as B', C', D' and E' respectively.
(iii) Join A, B, C, D, E, E', D', C', B' and A in order.
(iv) Name the closed figure.
Reflection
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Answer
(i) The point A(-4, 0), B(-3, 2), C(0, 4), D(4, 1) and E(7, 3) are plotted on the graph below :
(ii) From graph, on reflecting B, C, D on x-axis we get,
B(-3, -2) ⇒ B'(-3, -2)
C(0, 4) ⇒ C'(0, -4)
D(4, 1) ⇒ D'(4, -1).
(iii) Points A, B, C, D, E, E', D', C', B' and A are joined in order.
(iv) The closed figure formed is a nonagon and resembles a fish.
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Related Questions
The point (-3, 0) on reflection in a line is mapped as (3, 0) and the point (2, -3) on reflection in the same line is mapped as (-2, -3).
(i) Name the mirror line.
(ii) Write the coordinates of the image of (-3, -4) in the mirror line.
Use graph paper for this question.
Take 2 cm = 1 unit on both the axes.
(i) Plot the points A(0, 4), B(2, 2), C(5, 2) and D(4, 0), E(0, 0) is the origin.
(ii) Reflect B, C, D on the y-axis and name them as B', C' and D' respectively.
(iii) Join the points ABCDD'B'C' and A in order and give a geometrical name to the closed figure.
Use graph paper for this question (take 2cm = 1 unit along both x and y axis). ABCD is a quadrilateral whose vertices are A(2, 2), B(2, -2), C(0, -1) and D(0, 1).
(i) Reflect quadrilateral ABCD on the y-axis and name it as A'B'CD.
(ii) Write down the coordinates of A' and B'.
(iii) Name two points which are invariant under the above reflection.
(iv) Name the polygon A'B'CD.
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'.