3. segitiga OPQ dengan titik sudutnya di $$ O(-2,1), P(0,3) $$ dan $$ Q(2,2) $$, tentukan reefleksinya terhadap garis $$ y=-x $$ !

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UpStudy AI · Accepted Answer

1. **Determine the reflection formula:**  
   The reflection of a point $$ (x, y) $$ with respect to the line $$ y = -x $$ is given by  
   $$
   (x, y) \to (-y, -x).
   $$

2. **Reflect each vertex of the triangle:**

- **For point $$ O(-2, 1) $$:**  
     Applying the formula, we get  
     $$
     O' = (-1, 2).
     $$

- **For point $$ P(0, 3) $$:**  
     Applying the formula, we get  
     $$
     P' = (-3, 0).
     $$

- **For point $$ Q(2, 2) $$:**  
     Applying the formula, we get  
     $$
     Q' = (-2, -2).
     $$

3. **Conclusion:**  
   The reflected triangle $$ O'P'Q' $$ with respect to the line $$ y = -x $$ has vertices  
   $$
   O'(-1, 2), \quad P'(-3, 0), \quad Q'(-2, -2).
   $$
The reflected triangle $$ O'P'Q' $$ has vertices at $$ (-1, 2) $$, $$ (-3, 0) $$, and $$ (-2, -2) $$.

segitiga OPQ dengan titik sudutnya di dan , tentukan
reefleksinya terhadap garis !

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segitiga OPQ dengan titik sudutnya di dan , tentukan reefleksinya terhadap garis !