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Question

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.
  1. Only Statement-2
  2. Only Statement-1
  3. Both Statement-1 and Statement-2
  4. Neither Statement-1 nor Statement-2

A
Both Statement-1 and Statement-2
B
Neither Statement-1 nor Statement-2
C
Only Statement-1
D
Only Statement-2
Solution
Verified by Toppr

From the given two statements, correct statement is:
"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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Similar Questions
Q1
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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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.
Reason: Two Δs are congruent if two sides and the included angle of the one triangle are equal to the corresponding two sides and included angle of the other triangle.

Two statements A and R are given above. Which of the following statements is correct?

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Q3
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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Q4

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent."

Is the statement true? Why?

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Q5
Question 3
‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, than the two triangles must be congruent’. Is the statement true? Why?
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