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QUESTION IMAGE

reflect the triangle across the dashed line and enter the new coordinat…

Question

reflect the triangle across the dashed line and enter the new coordinates.
c(-2,4)
enter the
number that
belongs in the
b(1,3)
green box.
a(-1,1)
a(-1,-1)
b(1,-3)
c(?,)

Explanation:

Step1: Identify the reflection line

The dashed line is the x - axis (since it is horizontal and passes through y = 0). When reflecting a point \((x,y)\) across the x - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the reflection rule to point C

For point \(C(-2,4)\), using the reflection rule across the x - axis \((x,y)\to(x, - y)\), we keep the x - coordinate the same and change the sign of the y - coordinate. So the x - coordinate of \(C'\) is the same as the x - coordinate of \(C\), which is \(-2\).

Answer:

\(-2\)