Chapter 2: Q11. (page 57)
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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State which postulate, definition, or theorem justifies the statement about the diagram.
Justify each step.
Prove the following statements by filling in the blanks.
Given: is the bisector of
Proof:
Statement | Reasons |
1. is the bisector of | 1. ? |
2. ?, or ? | 2. ? |
3. | 3. ? |
4. , or | 4. ? |
5. | 5. ? |
6. | 6. Substitution Prop. (Steps ? and ?) |
Write each biconditional as two conditionals that are converses of each other.
Points lie in one plane if and only if they are coplanar.
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.
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