Class 9 Exam > Class 9 Questions > Which of the following statements is incorrec...
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Which of the following statements is incorrect ?
- a)Two squares having the same side length are congruent
- b)Two rectangles having the same area are congruent
- c)Two circles having the same radius are congruent
- d)Two lines having same length are congruent
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the following statements is incorrect ?a)Two squares having t...
2 rectangles having same area may differ in their lengths. So they will not be congruent
Most Upvoted Answer
Which of the following statements is incorrect ?a)Two squares having t...
Explanation:
Congruent figures are those figures which have the same shape and size.
- Two squares having the same side length are congruent: This statement is correct because squares have equal sides and angles. Therefore, if two squares have the same side length, then they will be equal in size and shape. Hence, they will be congruent.
- Two rectangles having the same area are not necessarily congruent: This statement is correct because rectangles can have different dimensions but the same area. For example, a rectangle with dimensions 2 x 6 has the same area as a rectangle with dimensions 3 x 4. Therefore, two rectangles having the same area are not necessarily congruent.
- Two circles having the same radius are congruent: This statement is correct because all circles have the same shape, and the radius determines the size. Therefore, if two circles have the same radius, they will be equal in size and shape. Hence, they will be congruent.
- Two lines having the same length are congruent: This statement is correct because lines have only length and no width. Therefore, if two lines have the same length, they will be equal in size and shape. Hence, they will be congruent.
Conclusion:
Hence, option 'B' is incorrect because two rectangles having the same area are not necessarily congruent.
Congruent figures are those figures which have the same shape and size.
- Two squares having the same side length are congruent: This statement is correct because squares have equal sides and angles. Therefore, if two squares have the same side length, then they will be equal in size and shape. Hence, they will be congruent.
- Two rectangles having the same area are not necessarily congruent: This statement is correct because rectangles can have different dimensions but the same area. For example, a rectangle with dimensions 2 x 6 has the same area as a rectangle with dimensions 3 x 4. Therefore, two rectangles having the same area are not necessarily congruent.
- Two circles having the same radius are congruent: This statement is correct because all circles have the same shape, and the radius determines the size. Therefore, if two circles have the same radius, they will be equal in size and shape. Hence, they will be congruent.
- Two lines having the same length are congruent: This statement is correct because lines have only length and no width. Therefore, if two lines have the same length, they will be equal in size and shape. Hence, they will be congruent.
Conclusion:
Hence, option 'B' is incorrect because two rectangles having the same area are not necessarily congruent.
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Community Answer
Which of the following statements is incorrect ?a)Two squares having t...
Yaa b is correct answer because 2 rectangles having same area may differ in their lengths...soo they will not be congruent
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Which of the following statements is incorrect ?a)Two squares having the same side length are congruentb)Two rectangles having the same area are congruentc)Two circles having the same radius are congruentd)Two lines having same length are congruentCorrect answer is option 'B'. Can you explain this answer?
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