40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Question

30-11-2021
Mathematics

Answered

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40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Sagot :

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lena3056 lena3056 · Answer 1 · 2021-12-01T00:02:45-05:00

a) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.

b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.

c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.

I hope this helps!! Or some at least. :)

Good luck!

Sagot :

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