Question

Draw the image of the given figure according to the mapping rule. Describe the mapping in simple terms such as: “right 3, reflect over y-axis”. Then name the type of mapping. (x,y).(-x,-y)

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the coordinates of the given figure

`\begin{gathered} W(-5,-6) \\ X(-5,-1) \\ Y(-2,-1) \\ Z(-4,-2) \end{gathered}`

STEP 2: Apply the transformation rule given to the coordinates

`\begin{gathered} (x,y)\rightarrow(-x,-y) \\ W(-5,-6)\rightarrow W^(\prime)(5,6) \\ X(-5,-1)\rightarrow X^(\prime)(5,1) \\ Y(-2,-1)\rightarrow Y^(\prime)(2,1) \\ Z(-4,-2)\rightarrow Z^(\prime)(4,2) \end{gathered}`

STEP 3: Draw the image

In plain English,

The mapping is a rotation of 180 degree about the origin

One-to-One mapping