|
Some of the questions in this course may be answered by recording an audio file. If you chose to record the answer, click on the Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.)
Recording Audio Alert: The latest version of Java must be installed on your computer in order to record audio. If you are having difficulty, please go to: www.java.com and click on " Free Java Download." For Windows users, you will then click on "Agree & Start Free Download." For other operating systems, click on the "All Java Downloads" link to find your specific instructions. You may need to restart (close and re-open) your browser to enable the Java installation in your browser.
Inductive Reasoning
|
|
|
| |
| 1) In your own words define “Inductive Reasoning”. |
|
4000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| Select the term that best fits the description for the next two problems. |
|
|
| |
| |
|
| |
|
| For the next four problems, make a conjecture based on the given information. |
|
|
| |
| 4) “Allen studied for his geometry test. There are 20 questions on the test and he has answered the first 14 correctly.” |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 5) Make a conjecture based on the given information. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 6) Make a conjecture about the given information and the figure below. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 7) Make a conjecture about the given information and figure shown below. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the next four problems, select True or False. |
|
|
| |
| 8) All parallelograms are rectangles. |
|
|
|
| |
|
| 9) All right angles measure 90 degrees. |
|
|
|
| |
|
| 10) If an angle is obtuse, then it measures 120 degrees. |
|
|
|
| |
|
| 11) If an angle measures 120 degrees, then it is an obtuse angle. |
|
|
|
| |
|
| 12) At least one of the four previous problems is a false statement. State the number of the problem that is false statement, and then give a counterexample to show that the statement is false. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the next two problems, make a statement of negation. |
|
|
| |
| |
|
| |
|
| |
| Select the term that best fits the description for the next seven problems. |
|
|
| |
| 15) an “if-then” statement |
|
|
|
| |
|
| 16) the “if” part of a conditional statement |
|
|
|
| |
|
| 17) the “then” part of a conditional statement |
|
|
|
| |
|
| 18) an if-then statement that is formed by interchanging the hypothesis and the conclusion |
|
|
|
| |
|
| 19) a statement of what a thing is not |
|
|
|
| |
|
| 20) the negation of the converse |
|
|
|
| |
|
| 21) a denial of a statement |
|
|
|
| |
|
| For the next three questions, use the given statement to decide if the changed statements are an inverse, a converse, or a contrapositive. |
 |
|
| |
| 22) Given “k implies m”, what is? |
 |
|
|
| |
|
| 23) Given “k implies m”, what is? |
 |
|
|
| |
|
| 24) Given “k implies m”, what is? |
 |
|
|
| |
|
| For the next three problems, use the given true statement to decide if the changed statements are an inverse, a converse, or a contrapositive. Assume that a tomato is green until it ripens, at which point it is then red. |
 |
|
| |
| 25) If a tomato is ripe, then it is red. |
|
|
|
| |
|
| 26) If a tomato is not red, then it is not ripe. |
|
|
|
| |
|
| 27) If a tomato is not ripe, then it is not red. |
|
|
|
| |
|
| 28) Are any of the three previous statements false? State yes or no. If “yes”, then state the number of the problem which has a false statement and give a counterexample. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the next three problems, use the given true statement to decide if the changed statements are an inverse, a converse, or a contrapositive. |
 |
|
| |
| 29) If Nicholas is not wagging his tail, then he is not ready to play. |
|
|
|
| |
|
| 30) If Nicholas is ready to play, then he wags his tail. |
|
|
|
| |
|
| 31) If Nicholas is not ready to play, he does not wag his tail. |
|
|
|
| |
|
| 32) Are any of the three previous statements false? State yes or no. If “yes”, then state the number of the problem which has a false statement and give a counterexample. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the next three questions, use the statement given below to rewrite the statements as directed. |
 |
|
| |
| 33) State the converse of the given statement. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 34) State the inverse of the given statement. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 35) State the contrapositive of the given statement. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
| Select the term that best fits the description for the next four problems. |
|
|
| |
| 36) a mathematical statement that is accepted as true but remains unproven |
|
|
|
| |
|
| 37) the meaning of a term or idea |
|
|
|
| |
|
| 38) a term for which there is a clear idea of what it is, but it does not have a definition |
|
|
|
| |
|
| 39) a mathematical statement that can be proven to be true |
|
|
|
| |
|
| 40) In your own words define “Deductive Reasoning”. |
|
4000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| For the next three problems, look through the unit content area for a good description of the term. You may research the term online. |
|
|
| |
| 41) A “point” is considered to be an undefined term that is accepted as true. Give a good description of a point. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 42) A “line” is considered to be an undefined term that is accepted as true. Give your own description of a line. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| 43) A “plane” is considered to be an undefined term that is accepted as true. Give a good description of a plane. Make sure you describe a plane, not just a part of one. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the next three problems, use the law of syllogism to write a true conclusion about the given statements. |
|
|
| |
| 44) What is a conclusion for the given statements? |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 45) What is a conclusion for the given statements? |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 46) What is a conclusion for the given statements? |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 47) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
|
| No offline activities found |
0 Hour(s) & 0 Minute(s)
|
|
|
Attachments |
|