Mathematics
ABC is a triangle as shown in the figure below.
(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.
Related Questions
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