Chapter 2: Q6. (page 71)
Name or state the postulate, property, definition, or theorem that justifies the statement.
There is a line through F and H.
The postulate that justifies the statement is the postulate 6 which states that through any two points there exist exactly one line.
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Consider the following statements:
Reflexive Property: Robot A is as rusty as itself.
Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.
Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.
A relation such as “is as rusty as” that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?
a. Is rustier than
b. Has the same length as
c. Is opposite (for rays)
d. Is coplanar with (for lines)
Provide a counterexample to show that each statement is false.
Statement: If a four-sided figure has four congruent sides, then it has four right angles.
Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.
If Pam lives in Chicago, then she lives in Illinois.
Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If 
, then
State which postulate, definition, or theorem justifies the statement about the diagram.
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