Math Problem Statement
Solution
Let's solve the problems step by step based on the questions shown in the image:
1. Tentukan bayangan titik oleh pencerminan terhadap garis
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Solution: The reflection of a point over the line is given by swapping and negating both coordinates: .
So for :
Answer: The reflection of point is .
2. Berapakah hasil refleksi atau pencerminan bidang datar dari titik terhadap sumbu y?
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Solution: The reflection of a point over the -axis is done by changing the sign of the -coordinate while keeping the -coordinate the same. So for :
Answer: The reflection of point over the -axis is .
3. Bayangan titik yang direfleksikan terhadap sumbu y adalah
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Solution: Similar to question 2, the reflection over the -axis is achieved by changing the sign of the -coordinate:
Answer: The reflection of point over the -axis is .
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:
- How do you reflect a point over the line ?
- What is the reflection of point over the -axis?
- How do you find the reflection of a point over a generic line ?
- What is the reflection of point over the origin?
- Can a reflection result in the same point in any scenario?
Tip: When reflecting over the line, always remember to swap and negate the coordinates!
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflection
Coordinate Geometry
Formulas
Reflection over line y = -x: (x, y) → (-y, -x)
Reflection over y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 7-9