Answer:
The single transformation that maps a onto c is the reflection of the triangle a about the line y = -x
Step-by-step explanation:
To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;
Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)
Also, when we rotate a point, (x, y), 90° clockwise, we have;
Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)
Therefore, the rotation of the point (x, -y), 90° clockwise will give
Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)
Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.
