Given ABC is at A(2, 4), B(5, 9), C(1, 7), and if the is reflected across the line y = 1, find the new position of B '.Question 43Select one:a.(5, - 7)b.(4, 1)c.(5, - 1)d.(1, - 7)
Question
Given ABC is at A(2, 4), B(5, 9), C(1, 7), and if the is reflected across the line y = 1, find the new position of B '.Question 43Select one:a.(5, - 7)b.(4, 1)c.(5, - 1)d.(1, - 7)
Solution
The reflection of a point across a line y = k involves changing the y-coordinate of the point. The new y-coordinate is given by the formula y' = 2k - y.
Given the point B(5, 9) and the line y = 1, we can find the new position B' as follows:
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Substitute the given values into the formula. The x-coordinate remains the same (5), and the new y-coordinate is y' = 2*1 - 9 = -7.
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Therefore, the new position of B' after reflection is (5, -7).
So, the correct answer is a. (5, -7).
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