My answer page for p 240:1-9
First off: mistake on last post concerning 0B final. It is NOT early. It's on Monday, December 17.
Second: we have a test next block! Study for it! Your study guide is attached below if you lost it. Conjectures through 27 are attached on the previous post. No need to write up C-20,28, or 29. The review assignment HW #12 is p 224:20, pp 256-7: 9-11, 13-21, 27-29, 31-32. 31 and 32 are mini-proofs. From 9-21, there are 4 Cannot Be Determined responses.
There is not much in the review about the first part of the unit. Study your returned quiz and the worksheet we did in class today on triangle inequalities.
Attached below are the two practice worksheets that we did in class today, along with the answers. Also attached is the proof of the Perpendicular Bisector Theorem (FITB) with answers on second page.
I am also attaching the answers to most of the review assignment.
Make sure you know the parts of the isosceles triangle, as well as all the named parts on C-23 - An exterior angle of a triangle is equal to the sum of its two remote interior angles.
Conjectures 17-19, 21-27 are attached on various posts below.
I will have an early study session on Friday (8:10 am) and am available during A&E today (Nov 29). Come if you want help with your proofs on the review.
Welcome back! Hope your Thanksgiving break was good and good for you!
And now we are on the home stretch for this semester... 6 more blocks of class before finals start.
First things first: you have a unit test on Friday or Monday, Nov 30, Dec 3, about 70 points. Wed-Thurs block is a review day to review the unit and work on "mini-proofs".
0B final is on Friday, Dec 14. Other finals are the following Mon-Wed. Review lists and assignments will go out next week, probably on Tues-Wed, Dec 4-5. No exemptions from the final; the final is 20% of the semester grade.
HW #11, due Wed-Thurs, is p 240:1-9. For each problem: copy and label sketch, copy given, write "show" from the question, and then do a 5-6 step mini-proof. Pay attention to the hints where lines need to be added to the sketch. Three of the questions can be answered "cannot be determined". At whatever point you realize that, you can quit working on that problem and just write "CBD".
I am attaching copies of everything we did in class related to triangle congruence and proofs based on corresponding parts of congruent triangles. The only proof not contained here is the proof that I wrote on the white board for you to do that was not a fill-in-the-blank. (There is a question just like it on the unit review.)
It's late on Friday and Ms. Bogart is headed home. Quizzes are posted. I just wanted to make sure that I had attachments here for absentees.
There is no homework. But if you were not here, we did p 236:4-17 in class. Might want to get together with a friend.
We also did the attached worksheet (with answers).
And I am offering another couple of practice worksheets if you need them.
Happy Thanksgiving! Ms. Bogart
It's getting closer to the end of the semester!
We had a quiz in class today worth 22 pts. Come during advisory as soon as possible to make up.
The unit test over Triangles, Congruence, and Deductive Reasoning is Nov 30 - Dec 3 (Fri, Mon after break).
Aspire interim is December 5.
Finals begin Dec 14. Our final is comprehensive for the entire semester. Topic lists/study guides and assignments will be passed out on December 7th and 10th.
Today in class we practiced applying skills from C-17-23. You need to get all of these written up in your Geometric Truth. They are attached to previous posts if you scroll down.
We checked HW #9 and the warm-up.
And then we worked on investigating, questioning, discussing, sketching Triangle Congruence Shortcuts SSS, SAS, ASA, and SAA.
We learned that SSA and AAA combinations do not work.
Shortcuts are guarantees that all corresponding sides and angles will be congruent (all 6 parts of a triangle) if only three parts are congruent. We examined all possibilities and determined that these 4 work.
HW #10 - pp 230-231: 1-2, 4-10, 12-20. Four of these can be answered as "cannot be determined". On 18-20, you may use rigid transformations to say why the figures are congruent.
Write out congruence statements for most problems (state which triangles are congruent and why).
Write up C-24-25 from pp 228-9, using sketches from p 227. The fill in the blank should be obvious.
The online textbook can be very helpful in this chapter.
password: 5 digit lunch code (yours)
pin #: 72703A
Attached: worksheet and answers from class.
Quiz next block over 4.1-3 (HW #7-9). This is not a difficult quiz. There will be a review worksheet for warm-up next time. There are no complicated "find the angle" problems on the quiz. There are no proofs or actual vocabulary. We will work more on the Triangle Inequalities before the quiz. There is a find-the-angles sketch on the quiz where isosceles is important. The quiz is 22 pts.
In class today we did a fill-in-the-blank proof of C-23: An exterior angle of a triangle has a measure that is the sum of its remote interior angles (pp 222-3).
We also figured out the triangle inequality rules: The sum of the side lengths of the two shorter sides of a triangle must be greater than the length of the longest side.
The largest angle in a triangle is opposite the longest side; the smallest angle is opposite the shortest side.
We did p 175:1-2 (constructions) to discover the Triangle Congruence Shortcuts SSS and SAS (not on the homework or the quiz next time.)
HW #9 - pp 223-4: 1-9, 12, 16-19 and p 208:10-11.
Hint on p 208: 10 - You do not need to construct a triangle with these angles. You can add them on a ray; the leftover angle on the line will be the correct measure.
Today was the real beginning of our Triangle Unit (AKA delving into deductive proof).
We started with a sketch of a triangle with a line through one vertex that is parallel to the opposite side. Students discussed a plan for explaining why this could lead to The sum of the angles of a triangle is 180 degrees. We then created a deductive proof of the Triangle Sum Theorem from what students shared.
Then we did patty paper investigations for C-18-19: If a triangle is isosceles then its base angles are congruent. And 19 is the converse: if a triangle has two equal angles, then it is isosceles.
We wrote up C17-19 in GT. See attachment for both of these pages.
A grade was taken on HW #7; then we shared answers and discovered a new idea: an exterior angle of a triangle is the sum of the two angles on the other side.
We then practiced explaining deductively: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent. An exterior angle of a triangle is the sum of its two remote interior angles.
HW #8: p 214: 1-10, 14-15, p 224: 10-11.
You can also write up more Geometric Truth from the attachment below that has definitions for triangle angles and C-22 - Triangle Exterior Angle Theorem.
All but 2nd period got to view their tests. Make-ups need to be taken ASAP.
Today was our test over Rigid Transformations, 60 points. If you missed class today, you need to contact me ASAP if you have not taken your test yet. Students should be able to see their scores in the next block.
We also started our Triangle Unit today, doing an investigation to "discover" that the sum of the angles of a triangle is 180 degrees. (Surprise.)
Homework 7 is due for the next block, p 207:2-9. You may use a calculator. Show work on paper for numbers you put in your calculator (so that you can understand your mistakes later).
Grades were taken on HW #6 worksheet unit review for 5 pts in 1st, 3rd, about half of 0B, and most of 6th. If yours did not get graded, be ready to show it to me on Wed-Thurs in class.
Scroll down to next post for more information from Block 29 and its attachments.
This is just extra practice.
Unfortunately, the answers show.
We are back on our normal schedule! Today was the last block of content for the transformation unit. Our focus today: finding lines of symmetry (reflection line) in a geometric figure, interpret rotational symmetry in a polygon (point symmetry) in terms of degrees of rotation before a figure coincides with its original (reading and investigation on pp 318-320 in textbook, problems 1-5 on p 320).
We also spent time figuring out if two figures are congruent by describing a sequence of rigid transformations (isometries) that could map one exactly on top of the other. The activity is attached below.
A grade was taken over HW #5 (answers on next blog post). Students viewed the 18 pt quiz or made it up.
There was an exit ticket done in class and turned in: a brief review of transformations in the coordinate plane.
Students received Test Topics and a review worksheet (HW #6). There is no textbook review for the test.
Transformation Unit Test - 60 pts, NEXT BLOCK!!