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Let's solve the problems step by step based on the questions shown in the image:

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### 1. Tentukan bayangan titik \( A(2, -5) \) oleh pencerminan terhadap garis \( y = -x \)
- **Solution**: The reflection of a point \( (x, y) \) over the line \( y = -x \) is given by swapping and negating both coordinates: \( (-y, -x) \).

  So for \( A(2, -5) \):
  \[
  \text{Reflection of } A(2, -5) \text{ over } y = -x = (5, -2)
  \]

  **Answer**: The reflection of point \( A(2, -5) \) is \( (5, -2) \).

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### 2. Berapakah hasil refleksi atau pencerminan bidang datar dari titik \( (3, 5) \) terhadap sumbu y?
- **Solution**: The reflection of a point \( (x, y) \) over the \( y \)-axis is done by changing the sign of the \( x \)-coordinate while keeping the \( y \)-coordinate the same. So for \( (3, 5) \):
  \[
  \text{Reflection over } y \text{ axis} = (-3, 5)
  \]

  **Answer**: The reflection of point \( (3, 5) \) over the \( y \)-axis is \( (-3, 5) \).

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### 3. Bayangan titik \( A(2, 5) \) yang direfleksikan terhadap sumbu y adalah
- **Solution**: Similar to question 2, the reflection over the \( y \)-axis is achieved by changing the sign of the \( x \)-coordinate:
  \[
  \text{Reflection of } A(2, 5) \text{ over the } y \text{ axis} = (-2, 5)
  \]

  **Answer**: The reflection of point \( A(2, 5) \) over the \( y \)-axis is \( (-2, 5) \).

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Would you like further details on any of the solutions, or do you have any questions? Here are some related questions to expand your understanding:

1. How do you reflect a point over the line \( y = x \)?
2. What is the reflection of point \( (4, -3) \) over the \( x \)-axis?
3. How do you find the reflection of a point over a generic line \( y = mx + c \)?
4. What is the reflection of point \( (-2, -3) \) over the origin?
5. Can a reflection result in the same point in any scenario?

**Tip**: When reflecting over the \( y = -x \) line, always remember to swap and negate the coordinates!

1. Tentukan bayangan titik A(2, -5) oleh pencerminan terhadap garis y = -x
2. Berapakah hasil refleksi atau pencerminan bidang datar dari titik (3, 5) terhadap sumbu y?
3. Bayangan titik A(2, 5) yang direfleksikan terhadap sumbu y adalah?

Learn how to reflect points over the line y = -x and the y-axis with detailed solutions. This problem explores geometric reflections and is suitable for students in Grades 7-9.

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