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Use the graph to answer the question. Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at 11 comma 3, 11 comma 6, 7 comma 6, 7 comma 3, 9 comma 1. Determine the line of reflection.

Sagot :

Answer:

x = 4

Step-by-step explanation:

To determine the line of reflection, we can refer to the picture. We can see that ABCDE is reflected horizontally. So, the line of reflection must be a vertical line, which is placed at the center between the ABCDE and A'B'C'D'E'. Therefore the line will be:

[tex]\boxed{x=a}[/tex]

where, a is the middle between the x-values of A and A', or B and B', or C and C', etc.

To find the middle point, we can use this formula:

[tex]\boxed{(x_m,y_m)=\left(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} \right)}[/tex]

Since we only need the x-value, then:

[tex]\begin{aligned}x_{mid}&=\frac{x_A+x_{A'}}{2}\\\\&=\frac{-3+11}{2}\\\\&=4\end{aligned}[/tex]

Hence the line of reflection is x = 4

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