Question

Can you please help me? I need the whole question answered as son as possible. Thank you!

Answer 1

Reflection across the y-axis and translation 2 units down

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:

`(x,y)\rightarrow (-x,y)`

Hence,

• 
  `A(-1,3)\rightarrow A'(1,3);`
• 
  `B(1,0)\rightarrow B'(-1,0);`
• 
  `C(2,3)\rightarrow C'(-2,3);`
• 
  `D(1,4)\rightarrow D'(-1,4).`

2. Translate quadrilateral A'B'C'D' 2 units down. This translation has the rule:

`(x,y)\rightarrow (x,y-2)`

Hence,

• 
  `A'(1,3)\rightarrow A''(1,1);`
• 
  `B'(-1,0)\rightarrow B''(-1,-2);`
• 
  `C'(-2,3)\rightarrow C''(-2,1);`
• 
  `D'(-1,4)\rightarrow D''(-1,2).`