Chapter 2: Q7 (page 49)
Use the conditional: If and intersect, then and intersect.
The measure of is 108. is the bisector of , and is the bisector of . Find the measure of .
Short Answer
The required measurement is .
Chapter 2: Q7 (page 49)
Use the conditional: If and intersect, then and intersect.
The measure of is 108. is the bisector of , and is the bisector of . Find the measure of .
The required measurement is .
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Get started for freeState the hypothesis and the conclusion of each conditional.
Combine the conditionals in Exercises 5 and 6 into a single biconditional.
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 the converse of each conditional. Is the converse true or false?
If a number is divisible by 6, then it is divisible by 3.
Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If , then
What can you conclude if the following sentences are all true?
(4) s or r
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