Match each statement with the property of equality, property of congruence, definition, postulate, or theorem that can be used to justify it.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | Definition of a right angle | |
| arrow_right_alt | Congruent complements theorem | |
| arrow_right_alt | Verticle angles theorem | |
| arrow_right_alt | symmetric property of equality | |
| arrow_right_alt | substitution property of equality | |
| arrow_right_alt | definition of a midpoint | |
| arrow_right_alt | definition of congruence | |
| arrow_right_alt | addition property |
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Conditional | arrow_right_alt | p and q
|
Inverse | arrow_right_alt | p or q |
Converse | arrow_right_alt | if p then q
|
Conjunction | arrow_right_alt | if not p then not q |
Contrapositive | arrow_right_alt | if q then p |
Biconditional | arrow_right_alt | if not q then not p |
Disjunction | arrow_right_alt | p if and only if q |

The Venn diagram shows the results of a survey of 250 members of a local health club.
Question: How many members enjoy swimming or tennis?
Drag the properties to the correct location to complete the proof.

Multiplication Property
Substitution
Combine Like Terms
Addition Property
Distributive Property

Reason 5 should be
Reason 8 should be
What would be the values of the p ∨ ~q column?
These answers are in order from top to bottom for the last column of the table.

statement 4
statement 8
reason 2
reason 3
reason 5
reason 6
reason 7