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Mathematics 20 Online
OpenStudy (anonymous):

5. If the figure is a rectangle, then the figure has four sides. Converse: ___________________________________ ____ Truth Value of Conditional: _________________________ Truth Value of Converse: ___________________________

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

statement : if p, then q converse : if q, then p

ganeshie8 (ganeshie8):

just switch the condition and conclusion

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

statement : If `the figure is a rectangle`, then `the figure has four sides`. converse : ?

ganeshie8 (ganeshie8):

you simply need to switch the highlighted parts

ganeshie8 (ganeshie8):

can you try ?

OpenStudy (anonymous):

Truth Value of Conditional: Truth Value of Converse:

OpenStudy (anonymous):

@ganeshie8 How about that

ganeshie8 (ganeshie8):

have u finished writing out converse ?

ganeshie8 (ganeshie8):

statement : If `the figure is a rectangle`, then `the figure has four sides`. converse : ?

OpenStudy (anonymous):

yea

ganeshie8 (ganeshie8):

good, what did you get for converse ?

OpenStudy (anonymous):

If the figure haves four sides, then the figure is a rectangle. this

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

perfect !

ganeshie8 (ganeshie8):

is the given statement true ?

ganeshie8 (ganeshie8):

statement : If `the figure is a rectangle`, then `the figure has four sides`.

ganeshie8 (ganeshie8):

if it is a rectangle, then it must have four sides for sure right ?

OpenStudy (anonymous):

true

OpenStudy (anonymous):

yes of course

ganeshie8 (ganeshie8):

so we say the truth value is "true"

ganeshie8 (ganeshie8):

what about the truth value of converse ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

converse : If the figure haves four sides, then the figure is a rectangle.

ganeshie8 (ganeshie8):

is the converse also true ?

OpenStudy (anonymous):

false

ganeshie8 (ganeshie8):

right !

OpenStudy (anonymous):

beacause it could be a square

OpenStudy (anonymous):

right?

ganeshie8 (ganeshie8):

perfect !!

OpenStudy (anonymous):

thx

ganeshie8 (ganeshie8):

it could be a kite or a parallelogram or a trapezoid also

OpenStudy (anonymous):

true

ganeshie8 (ganeshie8):

it could be any quadrilateral, need not be just a rectangle

ganeshie8 (ganeshie8):

your logic is correct !

OpenStudy (anonymous):

heres my second question Rewrite the definition as a biconditional. 6. Squares have four congruent sides and four congruent angles. Biconditional: ____________________________________ ______________________

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

looks tricky

OpenStudy (anonymous):

yea it is lol

ganeshie8 (ganeshie8):

try something like this : A quadrilateral is a square `if and only if` it has four congruent sides and four congruent angles

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

thats the biconditional ^^

OpenStudy (anonymous):

ok thx @ganeshie8

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