Mathematics
Use graph paper for this question (Take 2 cm = 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'C'D'.
(ii) Write down the co-ordinates of A' and B'.
(iii) Name two points which are invariant under the above reflection.
(iv) Name the polygon A'B'C'D'.
Reflection
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Answer
(i) Since, points C and D lie on y-axis, thus they are invariant on reflection in it.
Thus, C' = C = (0, -1) and D' = D = (0, 1).
Reflected quadrilateral A'B'CD is shown in the graph below:
(ii) From graph we get,
The coordinates of A' and B' are (-2, 2) and (-2, -2) respectively.
(iii) From graph we get,
The two points which are invariant under the above reflection are C(0, -1) and D(0, 1).
(iv) From graph we get,
A'B' // D'C' and A'D' = B'C'
The polygon(A'B'C'D') formed is an isosceles trapezium.
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Related Questions
Use a graph paper for this question taking 1 cm = 1 unit along both x and y axes.
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(v) Name a line of symmetry for the figure formed.
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