ICSE Class 10 Mathematics
Question 2 of 4
Long Answer Questions 1 (Graph-based) — Question 2
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Question Plot points A(0, 3), B(4, 0), C(6, 2) and D(5, 0). Reflect the points as given below and write their coordinates :
(a) Reflect A on x-axis to A’.
(b) Reflect B on y-axis to B’.
(c) Reflect C on x-axis to C’.
(d) D remain invariant when reflected on the line whose equation is ............... .
(e) Join the points A, B, C, D, C’, B, A’, B’ and A to form a closed figure. Name the closed figure BCDC’.
The graph is shown below:
(a) Coordinates of A' = (0, -3).
(b) Coordinates of B' = (-4, 0).
(c) Coordinates of C' = (6, -2).
(d) From graph,
D lies on x-axis.
∴ It is invariant in the line x-axis or y = 0.
D remain invariant when reflected on the line whose equation is y = 0.
(e) From graph,
BCDC' is a concave quadrilateral.