Question

Statement: If a polygon is a parallelogram, then it is not a trapezoid.
What is the contrapositive of the following statement?
A If a polygon is a parallelogram, then it is a trapezoid.
B If a polygon is a trapezoid, then it is not a parallelogram.
C If a polygon is not a parallelogram, then it is a trapezoid.
D If a polygon is not a trapezoid, then it is a parallelogram.

Answer 1

Answer:

I think it is C but I'm not completely sure about the answer

Step-by-step explanation:

Answer 2

The contrapositive is:

If a polygon is not a parallelogram, then it is a trapezoid.

Assume the following conditional statement:

If $p \to q$

It means:

If p, then q

The contrapositive is gotten by negating p and q

i.e.

If $\lnot p \to \lnot q$

The above means:

If not p, then not q

The conditional statement from the question is:

If a polygon is a parallelogram, then it is not a trapezoid.

The keywords to negate are:

is a parallelogram

is not a trapezoid

When negated, they become:

is not a parallelogram

is a trapezoid

Read more at:

https://brainly.com/question/5306301