Answered

What is the inverse of the following statement?
"If a shape has four sides, then it is not a triangle."
OIf a shape has four sides, then it is a
triangle.
If a shape is not a triangle, then it has four
sides.
OIf a shape does not have four sides, then it
is a triangle.
OIf a shape is a triangle, then it does not have
four sides.

Verified Answer :

GinnyAnswer

To identify the inverse of the given statement, let's follow these steps:

1. Understand the Original Statement:
The original statement is:
``
If a shape has four sides, then it is not a triangle.
`

2. Structure of an Inverse Statement:
The inverse of a statement "If \(\( p \)\), then \(\( q \)\)" is "If not \(\( p \)\), then not \(\( q \)\)".

3. Identify \(\( p \)\) and \(\( q \)\) from the Original Statement:
- \(\( p \)\): A shape has four sides.
- \(\( q \)\): It is not a triangle.

4. Negate Both \(\( p \)\) and \(\( q \)\):
- Not \(\( p \)\): A shape does not have four sides.
- Not \(\( q \)\): It is a triangle.

5. Form the Inverse Statement:
Combining the negated \(\( p \)\) and \(\( q \)\):
`
If a shape does not have four sides, then it is a triangle.
`

Hence, the inverse of the given statement "If a shape has four sides, then it is not a triangle" is:
`
If a shape does not have four sides, then it is a triangle.
`

Correct Option:
`
O If a shape does not have four sides, then it is a triangle.
``

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