Question

HIGH POINT QUESTION

A shape is rotated 180 degrees about the origin and then its image is reflected in the Y-axis. Describe fully the single transformation that would have the same result as the two transformations described above.

Answer 1

Reflection in the x-axis

Explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.