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Nat2105 [25]
3 years ago
7

Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co

ntrapositive.
If a figure is a cube, then it has eight vertices.
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

  • statement p be "A figure is cube.";
  • statement q be "A figure has 8 vertices."

Then the statement  "If a figure is a cube, then it has eight vertices"  can be written as

p\Rightarrow q

Converse (q\Rightarrow p): If a figure has eight vertices, then it is a cube.

Inverse (\neg p\Rightarrow \neg q): If a figure is not a cube, then it has not eight vertices.

Contrapositive (\neg q\Rightarrow \neg p): If a figure has not eight vertices, then it is not a cube.

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