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

If a figure is a cube, then it has eight vertices.

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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

[tex]p\Rightarrow q[/tex]

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

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

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