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If two angles are superimposed perfectly, what can be said about their sizes?
- a)The angles are different in size.
- b)One angle is twice the size of the other.
- c)The angles are equal in size.
- d)The angles are complementary.
Correct answer is option 'C'. Can you explain this answer?
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If two angles are superimposed perfectly, what can be said about their...
If two angles are superimposed perfectly, with their vertices and arms aligning exactly, the angles are equal in size because the amount of rotation needed to form them is the same.
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If two angles are superimposed perfectly, what can be said about their...
Understanding Superimposed Angles
When two angles are superimposed perfectly, it means they overlap completely without any gaps or misalignment. This situation leads to a very specific conclusion about their sizes.
Key Points about Superimposed Angles:
- Definition of Superimposition: Superimposing angles involves placing one angle directly on top of another so that their vertices and arms coincide perfectly.
- Conclusion on Sizes: If two angles are perfectly superimposed, it indicates that their measurements are identical. Therefore, we conclude that they are equal in size.
- Why Option 'C' is Correct: The correct answer is option 'C' because:
- If one angle is larger than the other, they cannot completely overlap.
- If one angle is smaller, again, they cannot align perfectly.
- Thus, the only possibility for complete superimposition is that both angles are the same size.
Other Options Explained:
- Option 'A' (Different Sizes): This is incorrect because different sizes cannot overlap perfectly.
- Option 'B' (One Angle Twice the Size of the Other): This is also incorrect for the same reason as option 'A'; they would not align.
- Option 'D' (Complementary Angles): This option is incorrect as well. Complementary angles add up to 90 degrees but do not imply equality.
Conclusion:
In summary, when two angles are perfectly superimposed, they are equal in size, making option 'C' the correct choice. Understanding this concept helps in the study of geometry and the properties of angles.
When two angles are superimposed perfectly, it means they overlap completely without any gaps or misalignment. This situation leads to a very specific conclusion about their sizes.
Key Points about Superimposed Angles:
- Definition of Superimposition: Superimposing angles involves placing one angle directly on top of another so that their vertices and arms coincide perfectly.
- Conclusion on Sizes: If two angles are perfectly superimposed, it indicates that their measurements are identical. Therefore, we conclude that they are equal in size.
- Why Option 'C' is Correct: The correct answer is option 'C' because:
- If one angle is larger than the other, they cannot completely overlap.
- If one angle is smaller, again, they cannot align perfectly.
- Thus, the only possibility for complete superimposition is that both angles are the same size.
Other Options Explained:
- Option 'A' (Different Sizes): This is incorrect because different sizes cannot overlap perfectly.
- Option 'B' (One Angle Twice the Size of the Other): This is also incorrect for the same reason as option 'A'; they would not align.
- Option 'D' (Complementary Angles): This option is incorrect as well. Complementary angles add up to 90 degrees but do not imply equality.
Conclusion:
In summary, when two angles are perfectly superimposed, they are equal in size, making option 'C' the correct choice. Understanding this concept helps in the study of geometry and the properties of angles.
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If two angles are superimposed perfectly, what can be said about their sizes?a)The angles are different in size.b)One angle is twice the size of the other.c)The angles are equal in size.d)The angles are complementary.Correct answer is option 'C'. Can you explain this answer?
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