Download WS 2.2

Name
2-2
Class
Date
Practice
Form G
Conditional Statements
Determine if the conditional is true or false. If it is false, find a counterexample.
1. If the figure has four congruent angles, then the figure is a square.
2. If an animal barks, then it is a seal.
Write the converse, inverse, and contrapositive of the given conditional
statement. Determine the truth value of all three statements. If a statement is
false, give a counterexample.
3. If two angles are complementary, then their measures sum to 90.
Converse
T/F
Inverse
T/F
Contrapositive
T/F
4. If the temperature outside is below freezing, then ice can form on the sidewalks.
Converse
T/F
Inverse
T/F
Contrapositive
T/F
5. If a figure is a rectangle, then it has exactly four sides.
Converse
T/F
Inverse
T/F
Contrapositive
T/F
2-3 Biconditionals and Definitions
Each conditional statement below is true. Write its converse. If the converse is also true,
combine the statements as a biconditional. If not, write “Not a biconditional”.
1. If a number is divisible by 2, then the number is even.
q→p_______________________________________________________________________
p↔q_______________________________________________________________________
2. If two angles have the same measure, then the angles are congruent.
q→p_______________________________________________________________________
p↔q_______________________________________________________________________
3. If two numbers are both even, then the sum of the two numbers is even.
q→p_______________________________________________________________________
p↔q_______________________________________________________________________
Write the two statements that form each biconditional.
4. Two lines are perpendicular if and only if they intersect to form four right
angles.
p→q_______________________________________________________________________
q→p __________________________________________________________________________
5. A whole number is an odd number if and only if it is not divisible by 2.
p→q_______________________________________________________________________
q→p __________________________________________________________________________
A good definition should be reversible. Is each statement below a good definition? If not, explain.
6. A cat is an animal with whiskers.
7. A redwood tree is an evergreen tree that grows very tall.
8. A square is a quadrilateral with four congruent angles.
9. A hexagon is a polygon with exactly six sides.