Statements
True or False
Algebra & More
Rules
100
This type of statement contains the words if and then, and also a hypothesis and conclusion.
What is a conditional statement?
100
The statement "If it is Saturday, then tomorrow is Sunday"
What is true?
100
This is the value of x if on segment AC, AC = 30, AB = 2x, BC = 4x.
What is x = 5?
100
This property is illustrated by the statement "For any number c, c = c"
What is the reflexive property?
200
This type of statement contains the words "if and only if".
What is a biconditional statement?
200
The cafeteria has served pizza the last three Fridays, so Jan reasons they will serve pizza this Friday using this type of reasoning.
What is inductive?
200
Angle 1 and 3 are complementary to angle 2. If Angle 1 is 25 degrees, then this is the measure of angle 3.
What is 25 degrees?
200
This theorem confirms that two right angles are congruent.
What is the right angle congruence theorem (theorem 2.3)?
300
This is the contrapositive of the regular statement "If I think, then I am".
What is "If I am not, then I don't think"
300
This conclusion can be drawn based on the following statements "Ian is taller than Chris and Chris is taller than Amanda."
What is "Ian is taller than Amanda"
300
Segment AB is congruent to segment BC, and segment BC is congruent to segment CD. If AB = 2x + 5 and CD = 3x, then this is the value of x.
What is x = 5?
300
This rule is needed to confirm that, for segment ABC, AB + BC = AC.
What is the segment addition postulate?
400
This is the inverse in symbolic notation.
What is "~p ==> ~q"
400
The converse of the statement "If I am driving, then I am in my car"
What is false?
400
Angle 1 is a linear pair with angle 2. Angle 1 is also a linear pair with angle 3. If Angle 1 = 7x and Angle 2 = 2x, then this is the measure of angle 3.
What is 40 degrees?
400
These are the rules needed to find two angles given that they are complementary, angle 1 = 4x, and angle 2 = 5x (hint, there is a given, a definition, simplify, and a property - in that order).
What is given, definition of complementary angles, simplify, and division property. Also, x = 10.
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