Mrs. Marques's Amazing Geometry Class Blog
Today I passed out your Chapter 2 exams and we did section 3.1 in your books.
Homework: pg. 176: 13-47 odd Test Corrections: due October 11th. NO LATER! Remember, in order to get credit your explanation must include why those are the correct answers.
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While the actual test will be short answer, I have provided a link for a multiple choice practice exam. Exam is going to be September 28th for A Day and September 29th for B Day. Be sure to study! Note: A mistake was caught on #4. The last line of the truth table should have said that both p and q are false. Complete the table accordingly. Another mistake was caught on the bonus. The answer should be 73 degrees and not 5. Not sure where the 5 came from.
Objective: I can use angle relationships to prove concepts. Homework: pg 157: 9-15, odd, 21, 23, 25, 29 Notes for today: To lessen the confusion, I have summarized what some of the major theorems we discussed are. Complement Theorem: If you know that two angles form a right angle, then you can say that they are complementary or equal to 90 degrees... Which one you use will depend on what you need it for. These angles MUST be adjacent to each other to use the complements theorem. Definition of Complementary: If you are given that two angles equal 90 degrees, then you can conclude they are complementary. You may also conclude that if two angles are complementary, then they are equal to 90 degrees. These angles DO NOT have to be adjacent to each other. Congruent Complements: If you have three angles, and two of them are complementary to the same angle (must have already proven they are complementary), then they are congruent to each other. Another Case of Congruent Complements: If you have two pairs of complementary angles and you have been given (must have stated somewhere in the proof that they are complementary) that an angle from each pair is congruent to each other, then the other two angles must also be congruent to each other. Example: Angle 1 and angle 2 are complementary. Angle 3 and angle 4 are complementary. If angle 1 and angle 3 are congruent to each other, then angle 2 and angle 4 are also congruent based on the congruent complements theorem. Supplement Theorem: If you are given that two angles are a linear pair, then you can conclude that they are supplementary or are equal to 180 degrees. Again, which one you want to conclude will depend on what you need it for. These angles MUST be adjacent to each other to use this theorem. Definition of Supplementary Angles: If you are given that two angles equal 180, then you can conclude that they are supplementary. Vice versa, if two angles are supplementary, then you can conclude that they are equal to 180 degrees. These angles DO NOT have to be adjacent to each other. **If two adjacent angles form a straight angle, then you can conclude that they are supplementary based on definition of linear pair. You may need this for question 15. Congruent Supplement Theorem: If you have three angles, and two of them are supplementary to the third angle (must be stated in the proof somewhere that they are supplementary), then they are congruent to each other. Another Case of Congruent Supplements: If you have two pairs of supplementary angles and you have been given (must have stated somewhere in the proof that they are supplementary) that an angle from each pair is congruent to each other, then the other two angles must also be congruent to each other. Example: Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. If angle 1 and angle 3 are congruent to each other, then angle 2 and angle 4 are also congruent based on the congruent supplement theorem. Definition of Linear Pair: If two adjacent angles form a line, then you can conclude that they are supplementary or equal to 180 degrees Objective:
I can use the Segment Addition Postulate and other properties to prove statements. Homework: pg 147: 5, 9, 9-15 odd Important Notes: Paragraph Proof quiz next class A Day Exam: Sept 28 B Day Exam: Sept 29 I know you may have an APUSH exam that same day but we will spend at least an entire class period reviewing. Objective:
I can write a 2-column proof. Homework: pg. 140:17-33 odd, 37 and read through postulates and theorems in 2.7 and 2.8. YOU DO NOT HAVE TO HAVE THEM MEMORIZED :) Note: the book adds extra steps that I do not require you to do. I allow you to do the basic mental math without having to write it down whereas the book shows what is being added, subtracted, etc... Try not to follow the back of the book answers too much. Paragraph Proof quiz next class NObjective: I can write a paragraph proof and identify postulates that prove a statement as true.
Homework: pg 131: 19-29 odd, 30, 31, 35-41, 45 *** Note about proofs! Just because you don't get the exact answer in the back of the book, does not mean that you are wrong. If you think yours is right but is different from the book, I'd like to discuss it in class. #30 Sample Answers: Notice I have written two correct ways of doing the proof. On any chapter test, you will be allowed to correct and explain any incorrect answer for up to half credit per point you missed!
Directions:
**If you need help understanding what you did wrong, use your resources! Ask your classmates, ask me, refer to your textbook, or even use the internet. There is no reason for you to be stuck! Objectives:
To determine the difference between inductive and deductive reasoning. To determine if an argument is valid using Law of Detachment and Law of Syllogism. Homework: pg. 122: 11-21 odd, 29-41 odd, 45 We also took a mini quiz today over Section 2.1 and 2.2 September 6th and 7th:
Topic: Section 2.3- Conditional Statements Homework: pg 112: 23-31 odd, 39-51 odd, 59, 61, 67
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