Answer:Based on the given information, two transformations were used on quadrilateral PQRS. Let's analyze each transformation step by step:
1. First transformation: (x,y) -> (x + 1, y - 2)
This transformation involves shifting the x-coordinate of each point one unit to the right and shifting the y-coordinate two units downwards.
2. Second transformation: (x + 1, y - 2) -> (x + 1, 2 - y)
This transformation involves keeping the x-coordinate the same and reflecting the y-coordinate across the x-axis. In other words, the y-coordinate is inverted.
Therefore, the two transformations used on quadrilateral PQRS are:
- A translation of one unit to the right and two units downwards.
- A reflection across the x-axis, resulting in an inversion of the y-coordinate.
It is important to note that the order in which the transformations are applied matters. In this case, the translation is applied first, followed by the reflection.
Explanation: