Hasil pencerminan titik $$ (8,4) $$ terhadap garis $$ \mathrm{x}=3 $$ adalah $$ \ldots $$

Question

UpStudy AI · Accepted Answer

1. Let the original point be $$ P=(8,4) $$ and the mirror line be $$ x = 3 $$.

2. For a reflection across a vertical line $$ x = k $$, the reflection of a point $$(x, y)$$ is given by:
   $$
   (2k - x,\ y)
   $$

3. Here, $$ k = 3 $$ and $$ x = 8 $$, so compute the reflected x-coordinate:
   $$
   2 \times 3 - 8 = 6 - 8 = -2
   $$

4. The y-coordinate remains the same:
   $$
   y = 4
   $$

5. Therefore, the reflected point is:
   $$
   (-2,4)
   $$
The reflected point is $$(-2, 4)$$.

Hasil pencerminan titik terhadap garis adalah