Conditional Statements
What is the converse of:
If it is cold, then it is snowing.
What is...
If it is snowing, then it is cold.
What property says...
if a=b and b=c, then a=c.
What is...
Transitive Property.
Decide if the following statement is true always, sometimes, or never.
Two angles that are vertical are nonadjecent.
What is...
always.
What does the Vertical Angle Theorem state?
What is...
If two angles are vertical angles, then they are congruent.
Construct a conditional statement from the given.
I studied for 3 hours and I got an A on the test.
What is...
If I study for 3 hours, then I will get an A on the test.
Choose the property that justifies the following.
-3x+5+2x=12 and x=4
-3(4)+5+2x=12
What is...
Substitution Property.
Decide if the following statement is true always, sometimes, or never.
If two angles form a linear pair, then they are supplementary angles.
What is...
always. This is the Supplement Theorem.
What does the Segment Addition Postulate state?
What is...
If B is between A and C, then AB + BC = AC.
OR
If AB + BC = AC, then B is between A and C.
Construct an inverse from the given conditional statement...
If it is a ripe banana, then it is yellow.
What is...
If it is not a ripe banana, then it is not yellow.
What property justifies the following statement...
If AB=CD and CD=EF, then AB=EF.
What is...
Transitive Property.
Decide is the following statement is true always, sometimes, or never.
A line contains 3 or more points.
What is...
sometimes.
Make a conjecture given that BD is an angle bisector of angle ABC.
What is...
angle ABD is equal in measure to angle CBD.
What type of related conditional statement is the statement formed by negating the converse of the conditional statement?
What is...
Contrapositive Statement.
What property justifies the following...
3 (4x + 1) = 15
12x + 3 = 15
What is...
Distributive Property.
Decide if this statement is true always, sometimes, or never.
Two angles that form a linear pair are congruent...
What is...
sometimes.
Construct a contrapositive for the following statement...
I went to the dentist, so I do not get cavities.
What is...
If I get cavities, then I did not go to the dentist.
What is the next statement and reason in this proof?
9 + (2x) + 3 = (8)
What is...
12 + 2x = 8 CLT