There was this warm up. SEE ANSWERS BELOW
Geometry Name __________________
Warmup Date:
Arrange each set of statements in order (number them: 1 for first statement, 2 for second, etc.). Then write the conditional that follows from the logical chain.
1. If it is cold, then birds fly south.
If the days are short, then it is cold.
If it is winter, then the days are short.
2. If you go to a movie, then you will spend all your money.
If you clean your room, then you will go to the movie.
If you cannot buy gas for the car, then you will be stranded.
If you spend all of your money, then you cannot buy gas for the car.
3. If quompies plaun, the romples gleer.
If ruskers bleer, then homblers frain.
If homblers frain, then quompies plaun.
In Set #1, if birds are not flying south right now, then what can you conclude?
In Set #2, if you can buy gas for the car, then what can you conclude?
ANSWERS:
Warmup with ANSWERS Date: Oct 6 & 7, 2011
Arrange each set of statements in order (number them: 1 for first statement, 2 for second, etc.). Then write the conditional that follows from the logical chain.
1. 3 .If it is cold, then birds fly south.
2. If the days are short, then it is cold.
1. If it is winter, then the days are short.
Conclusion: If it is winter, then birds fly south.
2. 2. If you go to a movie, then you will spend all your money.
1. If you clean your room, then you will go to the movie.
4. If you cannot buy gas for the car, then you will be stranded.
3. If you spend all of your money, then you cannot buy gas for the car.
Conclusion: If you clean your room, then you will be stranded.
3. 3. If quompies plaun, the romples gleer.
1. If ruskers bleer, then homblers frain.
2. If homblers frain, then quompies plaun.
Conclusion: If ruskers bleer, then the romples gleer.
In Set #1, if birds are not flying south right now, then what can you conclude?
Conclusion: if birds are not flying south right now, then it is not winter.
In Set #2, if you can buy gas for the car, then what can you conclude? If you can buy gas for your car then you are outside the yellow circle.
If you are outside the yellow circle you are either inside the green circle
or outside the green circle. This means you may or may not be stranded.
In Set #3, last night you heard the quompies plaun. What can you conclude?
Conclusions : the romples gleer.
This was followed by Chapter 2 review part 3 SEE ANSWERS BELOW
Ch 2 Review part III. Name:
Date:
Each of the following statements can be written as: If you are a genius, then you are left-handed. a. All geniuses are left-handed. b. You are left-handed if you are a genius. c. You are a genius only if you are left-handed. d. Being a genius implies you are left-handed. e. You are left-handed when you are a genius. |
5. Write each of the following as a conditional statement.
a. All cross country runners are strong.
b. You are amusing if you make me laugh.
c. It rains only if it is cloudy.
d. Scoring a B on a test implies that you passed.
e. We eat out when it is Friday evening.
6. a. Write the converse of the statement. It rains only if it is cloudy.
b. Is the converse a true statement?
c. True or false? It rains if and only if it is cloudy. Justify your answer.
7. Rewrite the Euler diagram as an if-then statement. |
8. Consider the statement: Beebles have no teeth.
- Write the statement in if-then form.
- Illustrate the statement with an Euler diagram.
- Write the inverse of the statement.
- Assuming the given statement is true, what, if anything, can you conclude if you know Fang has teeth?
9. For each Statement 1 below, draw an Euler Diagram. Given that Statement 1 is true, what, if anything, can be concluded from the statement 2? If no conclusion can be made, answer “no conclusion.”
a. Statement 1: If an angle measures more than 90o, then it is not acute.
Statement 2: 
b. Statement 1: All 45o angles are congruent.
Statement 2: 
c. Statement 1: If you are always right, then people will listen to you.
Statement 2: If you are a teenager, then you are always right.
5a. B, A, C
b. I will hang my umbrella in the classroom closet.
Ch 2 review part III>
5. a. If you are a X-country runner, then you are strong
b. If you make me laugh, then youa re amusing.
e. If it rains, then it is cloudy.
d. If you score a B on a test, then you pass.
e. If it is Friday, then we eat out.
6. a. If it is cloudy, then it rains.
b. No the converse is not true. It can be cloudy without rain.
c. False. For the biconditional to be true, both the original statement and its converse must be true.
7. If you have some presents, then it is your birthday.
8. a. If you are a Beeble, then you have no teeth.
8b.
c. If you are not a Beeble, then you have teeth.
d. Fang is not a Beeble.
9. a. 
is not acute.
is not acute. b. angles A and B may or may not be 45 degree angles.
c. Then people will listen to you.
Because if you are a teenager, then you are always right. If you are always right, then people will listen to you.
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.