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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Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.
If , then .
State the hypothesis and the conclusion of each conditional.
If 
, then 
is a right angle.
Prove the following statement by filling in the blanks.
If A and B have coordinated a and b, with , and the midpoint M of has coordinate x, then prove .
Proof:
Statement | Reasons |
1. A, M, and B have coordinated a, x, and b respectively; . | 1. ? |
2. | 2. ? |
3. M is the midpoint of . | 3. ? |
4. , or | 4. ? |
5. | 5. ? |
6. ? | 6. ? |
7. | 7. ? |
Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.
only if or .
Provide a counterexample to show that each statement is false.
Statement: If , than .
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