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Lelechka [254]
3 years ago
9

C

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

(a)\ (-7,-3)\ \&\  (7,-3)

Step-by-step explanation:

Given

Options a, b and c

Required

Points that are reflections across y-axis

The rule of reflection across the y-axis is:

(x,y) \to (-x,y)

Testing the given options:

(a)\ (-7,-3)\ \&\  (7,-3)

Rule: (x,y) \to (-x,y)

(-7,-3) \to (-(-7),-3)

(-7,-3) \to (7,-3)

This is true, because the actual reflection equals the given reflection

(b)\ (-5,4)\ \&\  (5,-4)

Rule: (x,y) \to (-x,y)

(-5,4) \to (-(-5),4)

(-5,4) \to (5,4)

This is not true, because the actual reflection does not equal to the given reflection

(c)\ (1,-8)\ \&\ (1,8)

Rule: (x,y) \to (-x,y)

(1,-8) \to (-1,-8)

This is not true, because the actual reflection does not equal to the given reflection

Hence

(a)\ (-7,-3)\ \&\  (7,-3) is a reflection of each other across y axis

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