91Ó°ÊÓ

If two lines intersect, then they intersect in exactly one point by the Line Intersection Postulate (Postulate 2.3 ). Do the two lines have to be in the same plane? Draw a picture to support your answer. Then explain your reasoning.

Your friend claims that even though two planes intersect in a line, it is possible for three planes to intersect in a point. Is your friend correct? Explain your reasoning.

In Exercises \(25-32\) , name the property of equality that the statement illustrates. $$\text { If }\mathrm{AB}=\mathrm{LM}, \text { then } \mathrm{LM}=\mathrm{AB}$$

Your friend claims that by the Plane Intersection Postulate (Post. 2.7), any two planes intersect in a line. Is your friend’s interpretation of the Plane Intersection Postulate (Post. 2.7) correct? Explain your reasoning.

In Exercises \(33-36,\) rewrite the statements as a single bi conditional statement. (See Example \(5 . )\) If a polygon has three sides, then it is a triangle. If a polygon is a triangle, then it has three sides.

In Exercises \(33-36,\) rewrite the statements as a single bi conditional statement. (See Example \(5 . )\) If a polygon has four sides, then it is a quadrilateral. If a polygon is a quadrilateral, then it has four sides.

In Exercises \(31-34\) , decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. Explain your reasoning. Each time you clean your room, you are allowed to go out with your friends. So, the next time you clean your room, you will be allowed to go out with your friends.

Name three points that are not collinear.

Solve the equation. Tell which algebraic property of equality you used. $$ 3 \mathrm{x}=21 $$

In Exercises \(39-44\) , create a truth table for the logical statement. (See Example \(6 .\) ) $$ \sim p \rightarrow q $$