why inverse of a conditional statement seems to be TRUE?
Consider following conditional statment:
If two points are distinct, then there is exactly one line that passes through them.
Inverse is as follows:
If two points are not distinct, then it is not true that there is exactly one line that passes through them.
According to high school geometry book, inverse is always FALSE but in above example inverse seems to be TRUE. If both points are same, then, more than one line can pass through them.
> According to high school geometry book, inverse is always FALSE
It seems that either high school geometry book is incorrect, or you have misinterpreted what it said.
conditional: TRUE
converse: TRUE if exactly one line passes through two points, then they are distinct
contrapositive: TRUE if not exactly 1 line passes through two points, then they are not distinct
inverse: TRUE.if two points are not distinct, then its not true that exactly one line passes through them
Incredible excellent answers in such a short time.
Genuis minds!
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if two points are distinct, then they are the same points
point a = 3,3
point b = 3,3
there can be many lines that pass through
so any line going through 3,3 is true.
the inverse would be a mirror line on the opposite quardant, thus it will not pass through