5. If the figure is a rectangle, then the figure has four sides.
Converse:
___________________________________
____
Truth Value of Conditional:
_________________________
Truth Value of Converse:
___________________________
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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 : ?
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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 ?
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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
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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
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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.
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ganeshie8 (ganeshie8):
is the converse also true ?
OpenStudy (anonymous):
false
ganeshie8 (ganeshie8):
right !
OpenStudy (anonymous):
beacause it could be a square
OpenStudy (anonymous):
right?
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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
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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
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ganeshie8 (ganeshie8):
try something like this :
A quadrilateral is a square `if and only if` it has four congruent sides and four congruent angles