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The contrapositive of "if in a triangle ...

The contrapositive of "if in a triangle ABC, AB = AC then `angleB = angleC`" is

A

If in a triangle ABC, `angleB = angleC` then AB = AC

B

If in a triangle ABC, `AB != AC`, then `angleB != angle C`

C

If in a triangle ABC, `angleB != angleC`, then `AB != AC`

D

If in a triangle ABC, `angleB != angleC`, then `AB = AC`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MATHEMATICAL REASONING [APPENDIX - 4]-Exercise
  1. The converse of "if in a triangle ABC, AB = AC then angleB = angle C" ...

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  2. The inverse of "if in a triangle ABC, AB = AC then angleB = angleC" is

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  3. The contrapositive of "if in a triangle ABC, AB = AC then angleB = ang...

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  4. The converse of "if in a triangle ABC, AB gt AC then angleC gt angleB ...

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  5. The inverse of "if in a triangle ABC, AB gt AC then angleC gt angleB "...

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  6. The contrapositive of "if in a triangle ABC, AB gt AC then angle C gt ...

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  7. The converse of "if a triangle is equilateral then it is isosceles" is

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  8. The inverse of "if a triangle is equilateral then it is isosceles" is

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  9. The contrapositive of "if a triangle is equilateral then it is isoscel...

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  10. The converse of "if a polygon is a square then it is a rectangular" is

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  11. The inverse of "if a polygon is a square then it is rectangle" is

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  12. The contrapositive of "if a polygon is a square then it is a rectangle...

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  13. The converse of the statement "If x in A cup B then x in A or x in B" ...

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  14. The inverse of "if x in A cup B then x in A or x in B", is

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  15. The contrapositive of "if x in A cup B then x in A or x in B", is

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  16. The converse of "if x in A cap B then x in A and x in B", is

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  17. The inverse of ct^(2) "if x in A cap B then x in A and x in B", is

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  18. The contrapositive of "if x in A cap B then x in A and x in B", is

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  19. The converse of "if x^(2) = 1 then x = 1" is

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  20. The inverse of "if x^(2) = 1 then x = 1" is

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