Triangle ABC has vertices A, B and C at points (-3,4), (-3,0) and (-1,3), respectively.
1. First transformation is rotation by 90° anti-clockwise about the origin. This transformation has a rule:
(x,y)→(-y,x).
Then
- A(-3,4)→A''(-4,-3);
- B(-3,0)→B''(0,-3);
- C(-1,3)→C''(-3,-1).
2. Second transformation is translation 2 units to the right with a rule
(x,y)→(x+2,y).
Then,
- A''(-4,-3)→A'(-2,-3);
- B''(0,-3)→B'(2,-3);
- C''(-3,-1)→C'(-1,-1).
Answer: First transformation is rotation by 90° anti-clockwise about the origin, second transformation is translation 2 units to the right.
