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Standard IX
Mathematics
Question

Assertion :Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Reason: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
Which of the following options hold?
  1. Assertion is correct and Reason is true
  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  3. Assertion is incorrect but Reason is correct
  4. Both Assertion and Reason are incorrect

A
Assertion is incorrect but Reason is correct
B
Both Assertion and Reason are incorrect
C
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
D
Assertion is correct and Reason is true
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Solution
Verified by Toppr

By SAS congurance condition, two triangles are congurent when two sides and included angle of one triangle is equal to two sides and included angle of the other triangle.

So assertion is false because included angle is not mentioned.

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Similar Questions
Q1
Assertion :Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Reason: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
Which of the following options hold?
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Q2
Assertion : Two Δs are said to be congruent if two sides and an angle of the one triangle are respectively equal to the two sides and an angle of the other triangle.
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Q3
Which of the following statements is CORRECT?
Statement-1 : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
Statement-2 : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
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Q4
Assertion: Each angle of an equilateral triangle is 60°.
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(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.
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Q5
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(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.
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