# Geometry

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The inverse of conditional A is given below. Write conditional A, its converse,and its contrapositive. Explain your reasoning.
If I received a detention,then I did not arrive at school on time.

• Geometry -

If
q=I did not arrive at school on time

the given proposition is therefore:
p->q

contrapositive = ¬q -> ¬p

inverse = ¬p -> ¬q
converse = q -> p

Notes:
1. the inverse of the inverse of A is A itself.
2.the proposition and its contrapositive are logically equivalent.
3.the inverse and the converse are logically equivalent. BUT the proposition and the converse are NOT logically equivalent.

• Geometry -

Des

• Geometry -

Can you explain if you still have problems?
This response answers the question you had in the other post under the name of Cassie.

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