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

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.