Question

10.Reflections can happen across more than just the x or y axis. Another common line of reflection is y=x. The rule forthat reflection is:(x,y) - (y,x)Using the rule, find the reflection of line PQ with points P(-3, 4) and Q(6, 10) overy=xP’ ( , )Q’ ( , )

Answer 1

$\begin{gathered} \\ P^{\prime}(4,-3)andQ^{\prime}(10,6) \end{gathered}$

Explanation

Step 1

the rule for the reflection in the line y=x is given by:

$(x,y)\rightarrow(y,x)$

Let

P(-3,4)

Q(6,10)

Step 2

Apply the rule to fin P' and Q

$\begin{gathered} P(-3,4)\rightarrow P^{\prime}(4,-3) \\ Q(6,10)\rightarrow Q^{\prime}(10,6) \end{gathered}$