Question

Conditional Statement HW Question

Answer 1

So remember

If your statement is `If p , then q`

The converse would be
`If q , then p`

And the inverse would be
`If not p , then not q`

And the contrapositive would be
`If not q , then not p`

Answer 2

so "if they have the same length, then two segments are congruent."

Answer 3

our statement is

If `two segments are congruent` then `they have the same length`

Do you see how it fits into
If `P` then `Q`

Answer 4

That's your converse, excellent! What about the inverse now?

Answer 5

"if two segments are not congruent, then they don't have the same length"

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @idekanymore14
so "if they have the same length, then two segments are congruent."
\(\color{#0cbb34}{\text{End of Quote}}\)

and a better way to word it so that people can understand the sentence would be

If two segments have the same length, then they are congruent

Answer 7

Excellent!!

Answer 8

And now finally the contrapositive statement

Answer 9

ok ok "if they don't have the same length , then two segments are not congruent"

Answer 10

Absolutely splendid work there!

Answer 11

Now do you know what congruent means?

Answer 12

ye the same size and shape right ?

Answer 13

Exactly so is our statement true or false?

Answer 14

true

Answer 15

wait the original part right ?

Answer 16

Yes for the original
But it this case it doesn't matter because it's true for all of them
(but it might not always be true for it all)

Answer 17

is that cleaner browser in this pic