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Chapter 2: Q7. (page 57)
Name the definition or state the theorem that justifies the statement about the diagram.
If , then , , , and are right angles.
The used definition is the definition of congruent angles.
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Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If a number is divisible by 4, then it is divisible by 6.
State the converse of each conditional. Is the converse true or false?
If today is Friday, then tomorrow is Saturday.
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. ? |
State which postulate, definition, or theorem justifies the statement about the diagram.
Justify each statement with a property from algebra or property of congruence .
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