Use graph sheet to answer this question. Take 2 cm = 1 unit along both the axes.
(a) Plot A, B and C where A(0, 4), B(1, 1) and C(4, 0).
(b) Reflect A and B on the x-axis and name them E and D respectively.
(c) Reflect B through the origin and name it F. Write down the coordinates of F.
(d) Reflect B and C on the y-axis and name them H and G respectively.
(e) Join A, B, C, D, E, F, G, H and A in order and name the closed figure formed.
(a) Plot A(0, 4), B(1, 1) and C(4, 0) using the given scale.
(b) Reflection in the x-axis changes (x, y) to (x, −y).
Therefore, E, the reflection of A(0, 4), is E(0, −4).
D, the reflection of B(1, 1), is D(1, −1).
(c) Reflection through the origin changes (x, y) to (−x, −y).
Therefore, F, the reflection of B(1, 1), is F(−1, −1).
(d) Reflection in the y-axis changes (x, y) to (−x, y).
Therefore, H, the reflection of B(1, 1), is H(−1, 1).
G, the reflection of C(4, 0), is G(−4, 0).
(e) On joining A, B, C, D, E, F, G, H and A in order, the closed figure formed is a star.
[Completed graph space]
More ICSE Easy level questions
Use graph paper, taking 2 cm = 1 unit along both axes. (a) Plot A(1, 3), B(1, 2) and C(3, 0). (b) Reflect A and B in the x-axis and name their images E and D. Write their coordinates. (c) Reflect A and B through the origin and name their images F and G. (d) Reflect A, B and C in the y-axis and name their images J, I and H. (e) Join A, B, C, D, E, F, G, H, I and J in order and name the closed figure.
Use a graph sheet for this question. (a) Plot A(0, 3), B(2, 1) and C(4, −1). (b) Reflect points B and C in the y-axis and name their images B′ and C′ respectively. Plot and write the coordinates of B′ and C′. (c) Reflect point A in the line BB′ and name its image A′. (d) Plot and write the coordinates of A′. (e) Join the points ABA′B′ and give the geometrical name of the closed figure so formed.
Use graph sheet for this question. Take 2 cm = 1 unit along both x and y axis. Graphically represent parallelogram OABC, where O(0, 0), A(2, 3), B(5, 3) and C(3, 0). Reflect OABC : (a) on the x-axis and name its image as ODEC. (b) through the origin and name its image as OIJH. (c) on the y-axis and name its image as OFGH.
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