Answer:
The △PQR is reflected across the y-axis and option 2 is correct.
Step-by-step explanation:
1. The reflection across the x-axis is defined as
[tex](x,y)\rightarrow (x,-y)[/tex]
2. The reflection across the y-axis is defined as
[tex](x,y)\rightarrow (-x,y)[/tex]
3. The reflection across the y=x is defined as
[tex](x,y)\rightarrow (y,x)[/tex]
4. The reflection across the y=-x is defined as
[tex](x,y)\rightarrow (-y,-x)[/tex]
It is given that the vertices of △PQR are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of △P′Q′R′ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .
The relation between prerimage and image is defined as
[tex](x,y)\rightarrow (-x,y)[/tex]
Therefore the △PQR is reflected across the y-axis and option 2 is correct.
