Question

Which sequence of transformations maps pre-image ABC to

Answer 1

Triangle ABC was reflected over the y-axis and  then translated 2 units up and 2 units to the right

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated b units up and a units to the right, the new point is A'(x + a, y + b).

Reflection is the flipping of a figure. If a point A(x, y) is reflected along the y axis the new point is A'(-x, y).

Triangle ABC is at A(1, 2), B(4, 6) and C(7, 3). If it is reflected over the y-axis, the new point is A*(-1, 2), B*(-4, 6) and C*(-7, 3). If it is then translated 2 units up and 2 units to the right, the new image is:

A'(1, 4), B'(-2, 8) and C'(-5, 5)

Hence, Triangle ABC was reflected over the y-axis and  then translated 2 units up and 2 units to the right

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