Question

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.

Answer 1

See explanation

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

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