Question

geometry unit 2 lesson 6 homework name khloe augustin date 9-9-25 period 5th determine if each statement is true. rewrite each false statement using the word \some\.

	statement	true or false	re-write
1.	all even numbers are composite.	red mark	some even numbers are composite.
2.	all points that lie in the same plane are coplanar.	red mark
3.	all linear pairs are supplementary.	t

write each statement as an if-then statement.

	statement	if-then
4.	all even numbers are composite.
5.	all points that lie in a plane are coplanar.

Explanation:

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 adjacent angles are formed by two intersecting lines. The sum of the measures of a linear pair of angles is always \(180^{\circ}\), and supplementary angles are defined as two angles whose sum is \(180^{\circ}\). So all linear pairs are supplementary, making the statement true.

Question 4:

To convert the statement "All even numbers are composite" to an if - then statement, we identify the hypothesis (the "if" part) as "a number is even" and the conclusion (the "then" part) as "it is composite".

Question 5:

Answer:

True