Question

14. The triangle ABC, where A is (2, 6), B is
(-3, 5) and C is (4, 7), is reflected in the
y-axis to triangle A'B'C'. Triangle A'B'C' is
then reflected in the origin to triangle
A"B"C".
(i) Write down the co-ordinates of A”, B"
and C".
(ii) Write down a single transformation
that maps triangle ABC onto triangle
A"B"C".
and (5
(54)​

Answer 1

Step-by-step explanation:

(i) Reflection in y-axis is given by My (x, y) = (-x, y) ∴ A’ = Reflection of A (2, 6) in y-axis = (-2, 6) Similarly, B’ = (3, 5) and C’ = (-4, 7) Reflection in origin is given by MO (x, y) = (-x, -y) ∴ A” = Reflection of A’ (-2, 6) in origin = (2, -6) Similarly, B” = (-3, -5) and C” = (4, -7)

(ii) A single transformation which maps triangle ABC to triangle A”B”C” is reflection in x-axis

Answer 2

Hope it will help you....