QQuestion
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.
✓Answer
(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]
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