Question

lesson 6 homework
period 5th
determine if each statement is true. rewrite each false statement using the word \some\.

	statement	true or false	re-write
2	all points that lie in the same plane are coplanar.	t	(blank)
3	all linear pairs are supplementary.	t	(blank)

Explanation:

Question 1:

An even number is a number divisible by 2. A composite number is a positive integer greater than 1 that has positive divisors other than 1 and itself. The number 2 is even but it is prime (not composite). So not all even numbers are composite, we rewrite it with "some" to make a true statement.

Question 2:

By definition, coplanar points are points that lie in the same plane. So the statement "All points that lie in the same plane are coplanar" is a direct application of the definition of coplanar, hence it is true.

Question 3:

A linear pair of angles is formed when two lines intersect. The sum of the measures of a linear pair of angles is 180 degrees. Supplementary angles are defined as two angles whose sum is 180 degrees. So all linear pairs are supplementary by definition.

Answer:

False, Re - write: Some even numbers are composite.