Question

just need this cheeked
Find the if then form hypothesis conclusion converse invers and contrapositive of the statement:Two angles are complementary if the sum of their measures is 90

Answer 1

if then form-Two angles are complementary if the sum of their measures is 90

hypothesis-the sum of their measure is 90

conclusion-two angles are complementary

converse-if the sum of their measures is 90,then two angles are complementary

inverse-if the sum of their measures is not 90, then the two angles are not complementary

contrapositive-two angles are complementary, then the sum of their measure is not 90

Answer 2

@jim_thompson5910

Answer 3

how far did you get

Answer 4

i have my answers above

Answer 5

oh sry, thought those were answer choices

one sec

Answer 6

Two angles are complementary if the sum of their measures is 90

is equivalent to saying

IF the sum of their measures is 90, THEN two angles are complementary

Answer 7

so the original IF..., THEN... form is

If the sum of their measures is 90, then two angles are complementary

Answer 8

The hypothesis is always first, so

Hypothesis: the sum of their measures is 90

the conclusion comes after

Conclusion: two angles are complementary

Answer 9

with me so far?

Answer 10

yup i got it so far

Answer 11

ok when dealing with something like If P, then Q, the converse of that is If Q, then P

Answer 12

here I'll write out all the basic forms


Original: If P, then Q

Converse: If Q, then P

Inverse: If not P, then not Q

Contrapositive: If not Q, then not P

Answer 13

so the converse- if tow angles are complementary then the sum of their measures is 90

inverse- if the sum of their measures is not 90 then two angles are not complementary

conterapositive- if their is not 90 then the two angles are not complementary

Answer 14

everything looks good except for the contrapositive

Answer 15

you forgot to flip things

Answer 16

ooh i would switch them haha

Answer 17

yes lol

Answer 18

could you help me understand why this stamen is valid?

Answer 19

this is known to be a definition, which is something we set up to be true according to these rules

Answer 20

so because of this, the two are equivalent

ie...if the angles are complementary, then they add to 90 degrees

or if the angles add to 90 degrees, then they are complementary

so the two are interchangeable

Answer 21

ooh ok thanks so much for the help :)

Answer 22

you're welcome