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The point (-7,4) is reflected over the line x=-3. Then the resulting point is reflected over the line y=x. Where is the point located after both reflections

Answer :

sqdancefan

Answer:

  (4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

  (-3, 4) = (A +A')/2

  2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

The reflection over the line y=x simply interchanges the two coordinate values:

  A'' = (4, 1)

${teks-lihat-gambar} sqdancefan
adioabiola

The point (-7,4) upon reflection over the lines x = -3 and y = x would be at point; (4,1).

According to the question;

  • We are required to determine where the point is located after both reflections.

For the first reflection;

  • The first reflection is over the vertical line defined at, x=-3. Consequently, the y-coordinate remains constant.

However, the x-coordinate of P' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

  • (-3, 4) = (P +P')/2

  • 2(-3, 4) -P = P' = (-6-(-7), 8 -4) = (1, 4)

For the second reflection;

  • The reflection over the line y=x simply interchanges the x- and y- coordinate values:

Ultimately, the point P'' = (4, 1)

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