Mathematics, 04.02.2020 06:07 ajahbraun

Coplanar lines are parallel if and only if they do not intersect. write a definition based on the given biconditional. a. parallel lines are coplanar. b. parallel lines do not intersect. c. if coplanar lines are parallel, then they do not intersect. d. parallel lines are coplanar lines that do not intersect.

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Answer from: rasv4799

I thought about this question thoroughly... I believe your correct answer for this question is "D. Parallel are coplanar lines that do not intersect." The choices "A." and "B." have part of the definition, but they are incomplete. Choice "C." is a conditional (If- then statements), but not a definition. That leaves you with answer "D." Hope this helps you understand!

Answer from: sugarpiegiselle6915

D. Parallel lines are coplanar lines that do not intersect.

Step-by-step explanation:

We are given that a bi-conditional statement

Coplanar lines are parallel if and only if thet do not intersect.

We have to write a definition of coplanar lines based on the given bi-conditional statement.

It means if coplanar lines are parallel then they do not intersect and if they do not intersect then coplanar lines are parallel.

We know that definition of coplanar lines

Two lines are parallel if they are coplanar lines and do not intersect .

Coplanar lines:coplanar lines are that lines which lie in the same plane.

A. Parallel lines are coplanar.

In this option only gives parallel lines are coplanar it define only one conditional statement but not define second part of statement.Hence, it is false.

B.Parallel lines do not intersect.

In this option define only second part of statement but not define first part of statement. Hence, it is false.

C.If coplanar lines are parallel, then do not intersect.

In this option statement is one conditional but not bi conditional .It means the result is true from one side not both side.Hence, option is false.

D. Parallel lines are coplanar lines that do not intersect.

In this option the information is complete . It means parallel lines are coplanar and they do not intersect because it is not necessary that coplanar lines are parallel .if coplanar lines parallel then they do not intersect. But if coplanar lines do not intersect then the lines are parallel.Hence, this information is complete to define on the given biconditional. Therefore, option D is true.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

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