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Question
The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.
Solution
B = (3, 2), Therefore, reflection of B in the x-axis is B'= (3,-2)
C = (0, 3), Therefore, reflection of C in the line B is C' = (6, 3).
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Use graph sheet to Solution this question. Take 2 cm = 1 unit alogn both the axes.
- Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0)
- Reflect A and B on the x-axis and name them as E and D respectively.
- Reflect B through the origion and name it F. Write down the coordinates of F.
- Reflect B and C on the y-axis and name them as H and G respectively.
- Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.
Use graph sheet for this question. Take 2 cm = 1 unit along the axes.
- Plot A(0, 3), B(2, 1) and C(4, –1).
- Reflect point B and C in y-axis and name their images as B' and C' respectively. Plot and write coordinates of the points B' and C'.
- Reflect point A in the line BB' and name its images as A'.
- Plot and write coordinates of point A'.
- Join the points ABA'B' and give the geometrical name of the closed figure so formed.
