Question

C

Answer 1

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