Question

Write the following statement as a conditional statement. Stars have ten vertices. If a figure has ten vertices, then it is a star. A figure is a star, if and only if, it has ten vertices. Star are figures with ten vertices. If a figure is a star, then it has ten vertices.

Answer 1

If a figure is a star, then it has ten vertices

Answer 2

The correct option is D) If a figure is a star, then it has ten vertices.

Explanation:

Consider the provided statement.

Stars have ten vertices.

If a statement has two sub statements p and q, then the conditional statement is "If p, then q",

The symbol representation of a conditional statement, is
`p\rightarrow q`, where p is a hypothesis and q is a conclusion.

In the given statement: "Stars have ten vertices"

p = "A figure is a star",

q = "A figure has 10 vertices".

Then the conditional statement
`p\rightarrow q` is "If a figure is a star, then it has ten vertices."

Hence, the correct option is D) If a figure is a star, then it has ten vertices.