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Given that the triangle ABC is at A = ( 5, 5 ) B = ( 2, 8 ) C = ( 9, 7 ), and if the triangle is reflected across the line y = 3, find the new position of point C'.

Given that the triangle ABC is at A = ( 5, 5 ) B = ( 2, 8 ) C = ( 9, 7 ), and if the-example-1

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Answer:

A. (9, -1)

Explanation:

Given the triangle ABC, the coordinate of point C is:


C=(9,7)

We want to reflect C across the line y=3.

Comparing the y-coordinate of C and the given line:


\begin{gathered} 3+x=7 \\ 3+4=7 \\ \implies x=4 \end{gathered}

Since the point and its image must be the same distance from the line of reflection, the y-value of the image point, C' will be:


3-4=-1

Thus, the new position of C' will be:


C^(\prime)=(9,-1)

Option A is correct.

User HadleyHope
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