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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : Two similar triangle are always congruent.
Reason : If the areas of two similar triangles are equal then the triangles are congruent.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, A statement of Assertion (A) i...
Two similar triangles are not congruent generally.
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So, A is incorrect but R is correct.
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Direction: In the following questions, A statement of Assertion (A) i...
Assertion: Two similar triangles are always congruent.
Reason: If the areas of two similar triangles are equal, then the triangles are congruent.
The correct answer is option 'D' - A is false and R is true.
Explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion. When two triangles are similar, their corresponding sides are in the same ratio.
However, similarity does not imply congruence. Two triangles can be similar but not congruent. Congruent triangles have the same shape and size, meaning that all corresponding angles and sides are equal.
The reason given in the statement is true. If the areas of two similar triangles are equal, it implies that their corresponding sides are in the same ratio. However, this does not guarantee that the triangles are congruent. Congruence requires that all corresponding angles and sides are equal.
To illustrate this, consider two triangles ABC and DEF. If triangle ABC is similar to triangle DEF, their corresponding sides are in the same ratio, but the triangles may have different sizes or orientations. It is possible for the areas of these triangles to be equal, but they will not be congruent unless all corresponding angles and sides are equal.
Therefore, the assertion that two similar triangles are always congruent is false. The reason, however, is true as equal areas imply the same ratio of corresponding sides in similar triangles.
Reason: If the areas of two similar triangles are equal, then the triangles are congruent.
The correct answer is option 'D' - A is false and R is true.
Explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion. When two triangles are similar, their corresponding sides are in the same ratio.
However, similarity does not imply congruence. Two triangles can be similar but not congruent. Congruent triangles have the same shape and size, meaning that all corresponding angles and sides are equal.
The reason given in the statement is true. If the areas of two similar triangles are equal, it implies that their corresponding sides are in the same ratio. However, this does not guarantee that the triangles are congruent. Congruence requires that all corresponding angles and sides are equal.
To illustrate this, consider two triangles ABC and DEF. If triangle ABC is similar to triangle DEF, their corresponding sides are in the same ratio, but the triangles may have different sizes or orientations. It is possible for the areas of these triangles to be equal, but they will not be congruent unless all corresponding angles and sides are equal.
Therefore, the assertion that two similar triangles are always congruent is false. The reason, however, is true as equal areas imply the same ratio of corresponding sides in similar triangles.
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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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ample number of questions to practice Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Two similar triangle are always congruent.Reason : If the areas of two similar triangles are equal then the triangles are congruent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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