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ICSE Class 10 Mathematics Question 12 of 28

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Question 61

ABC is a triangle as shown in the figure below.

ABC is a triangle as shown in the figure below. Maths Competency Focused Practice Questions Class 10 Solutions.

(a) Write down the coordinates of A, B and C on reflecting through the origin.

(b) Write down the coordinates of the point/s which remain invariant on reflecting the triangle ABC on the x-axis and y-axis respectively.

Answer

(a) From figure,

On reflecting in origin A, B and C becomes A', B' and C'.

Coordinates of A' = (-4, -5), B' = (0, -3) and C' = (-3, 0).

Hence, on reflecting A, B and C in origin the coordinates are (-4, -5), (0, -3) and (-3, 0) respectively.

(b) Point C(3, 0) lies on x-axis.

∴ It remains invariant on reflecting in x-axis.

Point B(0, 3) lies on y-axis.

∴ It remains invariant on reflecting in y-axis.

Hence, the invariant point for x-axis is point C and for y-axis is point B.