Question The point $$ A(-5,-8) $$ is reflected over the point $$ (-6,-3) $$ and its image is point $$ B $$. What are the coordinates of point $$ B $$ ?

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The coordinates of point $$ B $$ are $$ (-7, 2) $$. To find the coordinates of point $$ B $$ after reflecting point $$ A(-5,-8) $$ over the point $$ (-6,-3) $$, we can use the reflection formula. The reflection formula states that if a point $$ P(x,y) $$ is reflected over a point $$ Q(a,b) $$ to get a new point $$ R(x',y') $$, then the coordinates of point $$ R $$ can be found using the following formulas: $$ x' = 2a - x $$ $$ y' = 2b - y $$ Given that point $$ A(-5,-8) $$ is reflected over the point $$ (-6,-3) $$ to get point $$ B $$, we can substitute the coordinates of point $$ A $$ and the point of reflection into the reflection formula to find the coordinates of point $$ B $$. Substitute the coordinates of point $$ A(-5,-8) $$ and the point of reflection $$ (-6,-3) $$ into the reflection formula: $$ x' = 2(-6) - (-5) = -12 + 5 = -7 $$ $$ y' = 2(-3) - (-8) = -6 + 8 = 2 $$ Therefore, the coordinates of point $$ B $$ are $$ (-7, 2) $$.

Question The point \( A(-5,-8) \) is reflected over the point \( (-6,-3) \) and its image is point \( B \). What are the coordinates of point \( B \) ?

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Question The point \( A(-5,-8) \) is reflected over the point \( (-6,-3) \) and its image is point \( B \). What are the coordinates of point \( B \) ?

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