Question

Which biconditional is not a good definition?
A. Two angles are supplementary if and only if the sum of their angles measure 180.
B. Two angles are vertical angles if and only if they are nonadjacent and are formed by two intersecting lines.
C. Two angles from a linear lair if and only if the angles are adjacent.
D. The sum of two angles is 90 if and only if they are complementary

Answer 1

B?

Answer 2

@mathmate

Answer 3

@agent0smith

Answer 4

D

Answer 5

It's not D, it's B

Answer 6

;/

Answer 7

prove

Answer 8

Are you sure it's b? I was also thinking c

Answer 9

I think c

Answer 10

It's not d complementary angles equal 90 degrees

Answer 11

They dont have to be complementary to make 90 degrees

Answer 12

And its not c because they dont have to be adjacent to form a linear pair

Answer 13

I can only choose one

Answer 14

im torn between a and b but i think b is the best because it's more specific

Answer 15

It says which is not a good definition meaning which one is also reversible

Answer 16

Bioconditional must have the conditional and the converse be true in order for bioconditional to be true. One of these must have a false of the conditional/converse or both for it to not be a good definition. Which do you think sounds wrong?

Answer 17

I'm stuck between b and c

Answer 18

Well lets look at B first....The Vertical Angle Theorem states that two vertical angles created by two intersecting lines are congruent to one another.

Answer 19

`B. Two angles are vertical angles if and only if they are nonadjacent and are formed by two intersecting lines.`

Now vertical angles are across from each other they can not meet at all only at their angle point....and they are infact made by two intersecting lines...so the conditional is true.....`If two angles are vertical, then they are nonadjacent and area formed by two intersecting lines`.

Answer 20

Now the converse is stated as `If two angles are nonadjacent and are formed by two lines, then they are vertical angles.` Now vertical angles never touch but only by their angle point and they are made by two intersecting lines so they are in fact vertical angles....This would mean the converse and conditional are true. So B would not be the answer.

Answer 21

Do you understand?

Answer 22

So it's c?

Answer 23

Yes :) But lets see why.

Answer 24

`C. Two angles from a linear lair if and only if the angles are adjacent. `

Now the converse states `If the angles are adjacent, then the two angles form a linear line` Angles CAN form a linear line if adjacent but not always. Linear Pairs can be either supplementary or adjacent so C is not true

Answer 25

Hope I was helpful :)

Answer 26

Thank you

Answer 27

np :)