Question

3. Pentagon PENTA with P(0, 2), E(4,6), N(8,-1), T(6, -3), and A(2,-4); reflect across y-axis. /1 a. What is the "arrow rule" to show this transformation? /5 b. What are the vertices of the image after the transformation?

Answer 1

`\begin{gathered} a)X(x,y)\to X^(\prime)(-x,y) \\ b)P^(\prime)(0,2);E^(\prime)(-4,6);N^(\prime)(-8,-1);T^(\prime)(-6,-3);A(^(\prime)-2,-4) \end{gathered}`

Step-by-step explanation

a) The arrow rule is used to represent the transormation of a figure/point on the cartesian plane.

For a reflection across the y axis, the y cordinates of the image stay the same but the x coordinates of the image become the negative inverse.

Therefore, the arrow rule for this transformation is:

`X(x,y)\to X^(\prime)(-x,y)`

b)Therefore, the coordinates of the image of PENTA after the reflection across the y axis is:

`\begin{gathered} P(0,2)\to P^(\prime)(0,2) \\ E(4,6)\to E^(\prime)(-4,6) \\ N(8,-1)\to N^(\prime)(-8,-1) \\ T(6,-3)\to T^(\prime)(-6,-3) \\ A(2,-4)\to A^(\prime)(-2,-4) \end{gathered}`