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The reflected points are 

P (4, -7) 

Q (8,1) 

R (-9,-6)

Step-by-step explanation:

Rule of reflection across  x axis is (x,y) -> (x, -y)

For reflection across  x axis the vertices becomes

P(4,7)  ----> (4,-7)

Q(8,-1)-----> (8,1)

R(-9,6)------> (-9,-6)

Rule of reflection across  y axis is (x,y) -> (-x, y)

For reflection across  y axis the vertices becomes

P(4,7)  ----> (-4,7)

Q(8,-1)-----> (-8,-1)

R(-9,6)------> (9,6)


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