Answer:
The image triangle NPQ is triangle KLM
Step-by-step explanation:
The vertices of triangle NPQ are at:
N(-7,-6), P(-4,-3) an Q(-4,-6).
The rule for the translation is:
[tex](x,y)\to(x+8,y+1)[/tex]
This implies that:
[tex]N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)[/tex]
[tex]P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)[/tex]
[tex]Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)[/tex]
Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)
This coincides with K(1,-5),L(4,-2), and M(4,-5)
Hence the image triangle NPQ is triangle KLM
