Mathematics
Use a graph paper for this question. Take 2 cm = 1 unit along 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 ABCD D'C'B' 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) Join the points ABCD D'C'B'A.
Hence, the figure formed is a boat.
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Related Questions
On a graph, plot A(4, 6) and B(2, 3). Find the image of A when reflected in the line y = 0, name it A'. Find the co-ordinates of B', the image of B when reflected in the line AA'.
Give a geometrical name for the figure AB'A'B. Calculate the area of the figure AB'A'B.
Use graph paper for this question. Take 1 cm = 1 unit on both x and y axes.
(i) Plot the following points on your graph sheets : 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 the points A, B, C, D, E, E', D', C', B' and A in order.
(iv) Name the closed figure formed.
The distance of the point P(-3, -4) from the x-axis is :
3 units
4 units
5 units
none of these
The distance of the point A(-6, 8) from the y-axis is :
8 units
10 units
6 units
none of these