Triangle $$ A B C $$ has its vertices at points $$ A(5,5), B(2,8) $$, and $$ C(9,7) $$. If the triangle is reflected across the line $$ y=3 $$, find the coordinates of $$ C $$. Select one: a. $$ (9,1) $$ b. $$ (7,-1) $$ c. $$ (9,-1) $$ d. $$ (-2,-1) $$

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We start with point $$ C(9,7) $$ and reflect it across the horizontal line $$ y=3 $$. The reflection of a point across a horizontal line keeps the $$ x $$-coordinate unchanged, while the $$ y $$-coordinate changes according to the distance from the line.

1. The vertical distance between $$ C $$ and the line $$ y=3 $$ is:
   $$
   7 - 3 = 4.
   $$

2. Reflecting $$ C $$ across $$ y=3 $$ means the point will be $$ 4 $$ units on the opposite side of the line. Therefore, the new $$ y $$-coordinate is:
   $$
   3 - 4 = -1.
   $$

3. The $$ x $$-coordinate remains the same:
   $$
   9.
   $$

Thus, the reflected point is:
$$
(9, -1).
$$

The correct answer is option c.
The coordinates of $$ C $$ after reflection are $$ (9, -1) $$.

Triangle \( A B C \) has its vertices at points \( A(5,5), B(2,8) \), and \( C(9,7) \). If the triangle is reflected across the line \( y=3 \), find the coordinates of \( C \). Select one: a. \( (9,1) \) b. \( (7,-1) \) c. \( (9,-1) \) d. \( (-2,-1) \)

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