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Take 2cm=1 unit along the axes. (a) PlotA (0,3), B(2,1), C(4,-1) (b) Reflect B and C in y axis and name their images as B'and C. Plot and write their coordinates. (c) Reflect point A in line BB' and name its image as A. (d) Plot and write coordinates of A (e) Joint the points A B A' B' and give geometrical name of figure. (5)​

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SiddharthandAl

Answer:

(a) Plotting points A(0,3), B(2,1), and C(4,-1) on the graph with 2cm=1 unit along the axes:

- A(0,3) is 3 units above the x-axis.

- B(2,1) is 2 units to the right and 1 unit above the origin.

- C(4,-1) is 4 units to the right and 1 unit below the origin.

(b) Reflecting points B and C in the y-axis:

- The reflection of B(2,1) is B'(-2,1) as it's mirrored across the y-axis.

- The reflection of C(4,-1) is C'(-4,-1) as well, also mirrored across the y-axis.

(c) Reflecting point A in line BB':

- Since the line BB' is the y-axis, the reflection of point A(0,3) will be (-0,3), which is just A(0,3) itself.

(d) The coordinates of A remain the same, so A(0,3).

(e) Joining the points A, B, A', B' forms a quadrilateral known as a parallelogram.

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