Mathematics
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.
Reflection
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Answer
(i) The point A(0, 4), B(2, 2), C(5, 2) and D(4, 0), E(0, 0) are plotted on the graph below :
(ii) From graph, on reflecting B, C, D on y-axis we get,
B(2, 2) ⇒ B'(-2, 2)
C(5, 2) ⇒ C'(-5, 2)
D(4, 0) ⇒ D'(-4, 0).
(iii) Hence, the figure formed is a heptagon/septagon.
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Related Questions
Given two points P and Q, and that (1) the image of P on reflection in y-axis is the point Q and (2) the mid point of PQ is invariant on reflection in x-axis. Locate (i) the x-axis (ii) the y-axis and (iii) the origin.
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 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.
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.