Question

1. what is the result of a 90 - degree clockwise rotation followed by a reflection over the x - axis? only reflection rotation and reflection translation only rotation

Explanation:

Step1: Analyze rotation

A 90 - degree clockwise rotation changes the coordinates of a point \((x,y)\) to \((y, - x)\).

Step2: Analyze reflection over x - axis

Reflection over the x - axis changes the coordinates of a point \((x,y)\) to \((x, - y)\).

Step3: Combine the two transformations

Let's assume a point \((x,y)\). After a 90 - degree clockwise rotation, it becomes \((y, - x)\). Then, after reflection over the x - axis, it becomes \((y,x)\).
If we consider a rotation of 270 - degree counter - clockwise (equivalent to 90 - degree clockwise rotation followed by reflection over x - axis in terms of transformation composition), we can also think of it as a rotation and reflection combination.

Answer:

Rotation and reflection