Question

1) Draw the reflection of y = -x of (AABC).+Ila comBWhat is the rule of y = -X(x,y) →What are the coordinates ofAB'C'

Answer 1

The coordinates of the image is;

`\begin{gathered} A^(\prime)=(2,1) \\ B^(\prime)=(4,1) \\ C^(\prime)=(4,4) \end{gathered}`

The image is graphed below;

Step-by-step explanation:

We want to find and draw the reflection of y = -x;

with rule;

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

Firstly, let us write out the coordinates of the preimage points;

`\begin{gathered} A=(-1,-2) \\ B=(-1,-4) \\ C=(-4,-4) \end{gathered}`

Applying the reflection rule above;

`\begin{gathered} (x,y)\rightarrow(-y,-x) \\ A(-1,-2)\rightarrow A^(\prime)(2,1) \\ B(-1,-4)\rightarrow B^(\prime)(4,1) \\ C(-4,-4)\rightarrow C^(\prime)(4,4) \end{gathered}`

Therefore, the coordinates of the image is;

`\begin{gathered} A^(\prime)=(2,1) \\ B^(\prime)=(4,1) \\ C^(\prime)=(4,4) \end{gathered}`

The image is graphed below;