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suppose the equation of line s is y = 2. what are the coordinates of c …

Question

suppose the equation of line s is y = 2. what are the coordinates of c of △abc for r_s?

Explanation:

Step1: Identify coordinates of C

From the graph, the coordinates of point C are (-3, -1).

Step2: Use reflection rule for line y = 2

The formula for reflecting a point (x, y) over the line y = k is (x, 2k - y). Here k = 2, x=-3, y = - 1.

Step3: Calculate new y - coordinate

Substitute x=-3, y=-1, k = 2 into the formula. The new y - coordinate is 2*2-(-1)=4 + 1=5, and the x - coordinate remains the same. So the coordinates of C' are (-3, 5).

Answer:

(-3, 5)