Question

Write the following statement as a conditional statement.

Stars have ten vertices.


A) If a figure has ten vertices, then it is a star.

B) A figure is a star, if and only if, it has ten vertices.

C) Star are figures with ten vertices.

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

Answer 1

The correct option is D.

Explanation:

The given statement is "Stars have ten vertices".

If a complete statement has two sub statements p and q, then the conditional statement is "If p, then q", where p is a hypothesis and q is a conclusion.

In the given statement,

p = A figure is a star.

q = It has ten vertices

So, the conditional statement of the given statement is

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

Therefore the correct option is D.

Answer 2

A) If a figure has ten vertices, then it is a star. This is the correct conditional statement.

Conditional statement can be simplified as : if a, then b. Here 'a' is one condition and 'b' is second condition. So, based on this, option A is correct.