Question

Statement: Vertical angles are congruent.

Conditional Statement: If two angles are congruent, then they are vertical.

Converse Statement: If two angles are vertical, then they are congruent.

Inverse Statement: If two angles are not congruent, then they are not vertical.

Now what is the Contrapositive statement?

Answer 1

@StudyGurl14 Are you able to help with this one?

Answer 2

contrapositive is the negation of the converse

Answer 3

I thought thats what Inverse is? Like how I said for my inverse statement... If two angles are NOT congruent, then they are NOT vertical. @StudyGurl14

Answer 4

inverse is the negation of the conditional

Answer 5

conditional: if p then q
converse, if q then p
inverse, if not p, then not q
contrapositive: if not q, then not p

Answer 6

@StudyGurl14 Ohhh Okay thank you! That makes sense and which of the forms of four forms above will always be logically equivalent?

Answer 7

@StudyGurl14 Okay that really helps now. Im going to add that into my notes for suture reference. Im just confused as to which one would always be logically equivalent?

Answer 8

*future

Answer 9

Are you talking about this particular situation, or all statements in general?

Answer 10

Which of the forms of four forms above will always be logically equivalent?
Yeah all statements in general :) @StudyGurl14

Answer 11

If I'm understanding your question correctly, I believe the conditional and contrapositive will always be logically equivalent to each other

Answer 12

@StudyGurl14 Okay thank you so much! I really appreciate it!

Answer 13

Anytime :)