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.
1. Plot A(1, 3), B(1, 2) and C(3, 0).
2. Reflection in the x-axis changes (x, y) to (x, −y).
Therefore, E = (1, −3) and D = (1, −2).
3. Reflection through the origin changes (x, y) to (−x, −y).
Therefore, F = (−1, −3) and G = (−1, −2).
4. Reflection in the y-axis changes (x, y) to (−x, y).
Therefore, J = (−1, 3), I = (−1, 2) and H = (−3, 0).
5. Join A, B, C, D, E, F, G, H, I and J in order, and finally join J to A.
The closed figure has ten sides. Therefore, it is a decagon.
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