Question

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

Explanation:

Step1: Identify the coordinates of C

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

Step2: Use the reflection formula for reflection over the line y = k

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

Step3: Calculate the new y - coordinate

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

Answer:

(-3, 5)