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DIA [1.3K]
3 years ago
9

What are the true and false statements for If two planes intersect, then their intersection is a line. Include converse, inverse

and contrapositive.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer and Step-by-step explanation:

Solution:

Statement:

If two planes intersect  their intersection is a line.

Suppose that

P =if two planes intersect.

q = then their intersection is line.

¬p = if two planes do not intersect.

¬q = then their intersection is not a line.

Converse:

If two planes intersect their intersection is a line.

P → q

Inverse:

If two planes do not intersect, then their intersection is not a line.

¬p → ¬q

Contrapositive:

If two planes intersection is not a line, then they do not intersect.

¬q → ¬p

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