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
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
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. | 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.
Provide a counterexample to show that each statement is false.
Statement: If
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