Question

Identify the converse of this statement: If a shape has 3 sides, then it's a triangle. Question 8 options: If a shape is a triangle, then it has 3 sides. If a shape is a triangle, then it doesn't have three sides. If a shape doesn't have 3 sides, then it's a triangle. If a shape isn't a triangle, then it doesn't have three sides.

Answer 1

First option: If a shape is a triangle, then it has 3 sides.

Explanation:

Statement:

If p, then q.

Converse: Switch p and q.

If q, then p.

Statement:

If a shape has 3 sides, then it's a triangle.

p = a shape has 3 sides

q = it's a triangle

For the converse, switch p and q.

If a shape is a triangle, then it has 3 side.

Answer:

First option: If a shape is a triangle, then it has 3 sides.

Answer 2

The converse would be the first option because the converse of a statement is the "flipped" version of the original statement.