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How do you construct a point symmetric to a given point with respect to a line?
- a)Draw a line through both points
- b)Draw a line perpendicular to the line at the given point
- c)Measure the distance from the line to the point
- d)Extend the line to find the reflection
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How do you construct a point symmetric to a given point with respect t...
Understanding Point Symmetry
To construct a point symmetric to a given point with respect to a line, it’s crucial to follow the correct steps. Here's a detailed explanation of the process:
Step A: Draw a Line Through Both Points
- This step is not necessary for finding the symmetric point. Instead, we focus on the line of reflection.
Step B: Draw a Line Perpendicular to the Line at the Given Point
- This is the correct answer.
- The perpendicular line will help locate the point directly opposite the original point relative to the line.
- By ensuring the line is perpendicular, you guarantee that the distance from the original point to the line is equal to the distance from the line to the symmetric point.
Step C: Measure the Distance from the Line to the Point
- While measuring distance is essential, it is part of the process after establishing the perpendicular.
- This measurement will help in locating the symmetric point correctly.
Step D: Extend the Line to Find the Reflection
- Extending the line is not needed unless you are looking for a visual aid. The perpendicular drawn will naturally lead to the symmetric point below or above the original point.
Conclusion
In summary, the critical step is to draw a perpendicular line from the original point to the line of reflection. This method ensures that the symmetric point is accurately located, maintaining equal distances on both sides of the line. Following this systematic approach will yield the correct reflection of the point.
To construct a point symmetric to a given point with respect to a line, it’s crucial to follow the correct steps. Here's a detailed explanation of the process:
Step A: Draw a Line Through Both Points
- This step is not necessary for finding the symmetric point. Instead, we focus on the line of reflection.
Step B: Draw a Line Perpendicular to the Line at the Given Point
- This is the correct answer.
- The perpendicular line will help locate the point directly opposite the original point relative to the line.
- By ensuring the line is perpendicular, you guarantee that the distance from the original point to the line is equal to the distance from the line to the symmetric point.
Step C: Measure the Distance from the Line to the Point
- While measuring distance is essential, it is part of the process after establishing the perpendicular.
- This measurement will help in locating the symmetric point correctly.
Step D: Extend the Line to Find the Reflection
- Extending the line is not needed unless you are looking for a visual aid. The perpendicular drawn will naturally lead to the symmetric point below or above the original point.
Conclusion
In summary, the critical step is to draw a perpendicular line from the original point to the line of reflection. This method ensures that the symmetric point is accurately located, maintaining equal distances on both sides of the line. Following this systematic approach will yield the correct reflection of the point.
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Community Answer
How do you construct a point symmetric to a given point with respect t...
To find a point symmetric to a given point with respect to a line, you draw a line perpendicular to the line of symmetry at the given point. The intersection helps determine the reflected point.
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How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer?.
How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer?.
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How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of How do you construct a point symmetric to a given point with respect to a line?a) Draw a line through both pointsb) Draw a line perpendicular to the line at the given pointc) Measure the distance from the line to the pointd) Extend the line to find the reflectionCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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