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Chapter 2: Q6CR. (page 67)
Justify each statement with a property from algebra or property of congruence.
Ifthen .
From the property of Algebra, it is proved that .
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State which postulate, definition, or theorem justifies the statement about the diagram.
Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If 
, then B is the midpoint of 
.
Tell whether each statement is true or false. Then write converse and tell whether it is true or false.
Statement: If then
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 鈥渋s as rusty as鈥� 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)
Justify each step.
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