Answer:
Reflection across the y-axis and translation 2 units down
Step-by-step explanation:
Quadrilateral ABCD has vertices at points A(-1,3), B(1,0), C(2,3) and D(1,4).
1. Reflect quadrilateral ABCD across the y-axis. This reflection has the rule:
[tex](x,y)\rightarrow (-x,y)[/tex]
Hence,
- [tex]A(-1,3)\rightarrow A'(1,3);[/tex]
- [tex]B(1,0)\rightarrow B'(-1,0);[/tex]
- [tex]C(2,3)\rightarrow C'(-2,3);[/tex]
- [tex]D(1,4)\rightarrow D'(-1,4).[/tex]
2. Translate quadrilateral A'B'C'D' 2 units down. This translation has the rule:
[tex](x,y)\rightarrow (x,y-2)[/tex]
Hence,
- [tex]A'(1,3)\rightarrow A''(1,1);[/tex]
- [tex]B'(-1,0)\rightarrow B''(-1,-2);[/tex]
- [tex]C'(-2,3)\rightarrow C''(-2,1);[/tex]
- [tex]D'(-1,4)\rightarrow D''(-1,2).[/tex]
