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Two right angled triangles are congruent if : 
I. The hypotenuse of one triangle is equal to the hypotenuse of the other. 
II. A side for one triangle is equal to the corresponding side of the other. 
III. Sides of the triangles are equal. 
IV. An angles of the triangle are equal. 
Of these statements, the correct ones are combination of:
  • a)
    I and II
  • b)
    II and III
  • c)
    I and III 
  • d)
    IV only
Correct answer is option 'A'. Can you explain this answer?

Answers

Two right angled triangle are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and a side of one triangle is equal to the corresponding side of the other triangle.

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Two right angled triangle are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and a side of one triangle is equal to the corresponding side of the other triangle.