Chapter 2: Q1. (page 71)
Name or state the postulate, property, definition or theorem that justifies the statement.
If , then .
Short Answer
The property that justifies the statement is Property of algebra.
Chapter 2: Q1. (page 71)
Name or state the postulate, property, definition or theorem that justifies the statement.
If , then .
The property that justifies the statement is Property of algebra.
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Get started for freeState the converse of each conditional. Is the converse true or false?
If today is Friday, then tomorrow is Saturday.
Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.
If points D, E, and F are collinear, then .
Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.
only if .
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)
Copy everything shown and write a two-column proof.
Given:
Prove:
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