Question

Read the statement shown below.

“If the alternate interior angles are congruent, then the lines are parallel.”

What is the inverse of the statement?

If the lines are parallel, then the alternate interior angles are congruent.

If the lines are not parallel, then the alternate interior angles are not congruent.

If the alternate interior angles are congruent, then two given lines have to be parallel.

If the alternate interior angles are not congruent, then the lines are not parallel.

Answer 1

Please help!

Answer 2

If the alternate interior angles are nt congruent then the lines r nt parallel

Answer 3

~(P->Q) = ~P->~Q

Answer 4

If the lines are parallel, then the alternate interior angles are congruent.

Answer 5

Well first find a word in the original statement that you know is 1) a math term, and 2) you know what an opposite to it is.

Answer 6

the question is asking for inverse

Answer 7

So would it be if the lines are not parallel, then the alternate interior angles are not congruent?

Answer 8

nope its If the lines are parallel, then the alternate interior angles are congruent.

Answer 9

Isn't that the Converse?

Answer 10

oh ya.. its If the lines are not parallel, then the alternate interior angles are not congruent.

Answer 11

yes it is converse

remember-
you dont change the order of statements in inverse.
only converse and contrapositive you change the order of statements.

jitesh's answer is correct above

Answer 12

sorry my mistake

Answer 13

it's ok.

Answer 14

Isnt the inverse of add is subtract @ganeshie8

Answer 15

ohh yesssss that inverse is also correct. here this inverse is in logic.. . proofs

Answer 16

Thank You everyone!

Answer 17

np... .