Chapter 2: Q7WE. (page 58)
Name the definition or state the theorem that justifies the statement about the diagram.
If , then .

Short Answer
The used definition is the definition of perpendicular lines.
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Chapter 2: Q7WE. (page 58)
Name the definition or state the theorem that justifies the statement about the diagram.
If , then .

The used definition is the definition of perpendicular lines.
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Copy everything shown and supply missing statements and reasons.
Given:
Prove:

Proof:

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 statement with a property from algebra or property of congruence.
Copy everything shown and write a two-column proof.

Given:
Prove:
Rewrite each pair of conditionals as a biconditional.
If B is between A and C, then .
If , then B is between A and C.
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