Question

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Answer 1

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.