Question

3.1.23Question Help  Suppose line g is the line with equation y=x. Given A(6,−5), B(7,4), and C(−1,−5), what are the coordinates of the vertices of △A′B′C′ for the reflection?

Answer 1

`\begin{gathered} A^(\prime)(-5,6) \\ B^(\prime)(4,7) \\ C^(\prime)(-5,-1) \end{gathered}`

Step-by-step explanation

When a point is reflected over the line y = x, the x and y coordinates change places.

That is the point changes as follows:

`X(x,y)\Rightarrow X^(\prime)(y,x)`

Therefore, the coordinates of the points after the reflection is:

`\begin{gathered} A(6,-5)\Rightarrow A^(\prime)(-5,6) \\ B(7,4)\Rightarrow B^(\prime)(4,7) \\ C(-1,-5)\Rightarrow C^(\prime)(-5,-1) \end{gathered}`