Letting the Cat Out of the Bag – Or Should We Say the Triangle?!?

Homework: Read and take notes on sec. 3.1 (p.111-114) 

Sec. 3.1 -- What are Congruent Figures?

Objectives: You will be able to:

·         Identify accurately the corresponding parts of figures.

·         Describe what is meant by congruent figures, congruent triangles,
                      and congruent polygons.

·         State and explain the Reflexive Property.

·         Reflect, rotate and slide figures.

Homework: Do p. 114 #1-5.  Be ready to test on vocab 1-6.
Communicate it!  On a separate sheet of paper, write a paragraph explaining the difference between a reflection, a translation (slide) and a rotation - to hand in!

 Objectives: You will be able to:

·         Identify included angles and included sides.

·         State and apply the three new postulates.

 Triangle Congruence Postulate Activity

 Homework: Read and take notes on section 3.2 and Do p. 120-124 # 3-5, 10-12, 17-18. Be ready to test on vocab 1-7.

Objectives: You will be able to:

• Apply the principle of CPCTC.
• Recognize some basic properties of circles.
• Know and use the formulas to find the circumference and area of a circle.

Homework: Add to notes on 3.3 and Do p. 123 # 22-24, 28 and p. 127-130 # 10, 12, 13, 18 - 20, 23.  Be ready to test on vocab 1-9.

Communicate it!  Write a paragraph explaining what CPCTC means and why it is important to know and use - include examples in your explanation – to hand in!

Sec. 3.4 -- Beyond CPCTC

Objectives: You will be able to:

·         Identify medians and altitudes of triangles.

·         Understand why auxiliary lines are used in some proofs.

·         Write proofs involving steps beyond CPCTC.

Homework: Add to notes on 3.4 and do p. 135-137 # 4, 6, 11-15.  Be ready to test on  vocab 1-16. WORK ON CUMULATIVE REVIEW!! (Box on first page…)

Communicate it!  Write a paragraph explaining the difference between a median and an altitude – in Class!

QUIZ   over sec. 3.1 – 3.4

Objectives: You will be able to:

·         Construct medians and altitudes

Homework: CUMULATIVE REVIEW HOMEWORK DUE TOMORROW!! (Box on first page…)

Midterm Exam Practice Test—Test on Wednesday, October 31

Midterm Exam Practice Test Solutions

Sec. 3.5 -- Overlapping Triangles

Objectives: You will be able to:

·         Recognize overlapping triangles in diagrams.                              

·         Use overlapping triangles in proofs.

Homework: Construct  orthocenters, centroids, incenters, and circumcenters of triangles.  Read 3.5 (p. 138-139) and take notes and Do p. 139-141 # 5, 9-11, 12, 14

Communicate it!  Write a paragraph explaining why rotations, translations and reflections might come in handy when looking at pictures of overlapping triangles – to hand in!

Sec. 3.6 -- Types of Triangles

Objectives : You will be able to:

·         Name the various types of triangles and their parts.

·         Write proofs about the different types of triangles.

Homework: Add to notes on 3.6 and do p. 144-147 # 7-9, 10, 13, 16.  Be ready to test on vocab 1-28.

Communicate it!  Write a paragraph explaining why a triangle can only have one obtuse or one right angle – in Class!!

Sec. 3.7 -- Angle - Side Theorems

Objectives: You will be able to:

·State correctly the four angle side theorems.

·Apply theorems relating the angle measures and side lengths of triangles.

·Prove a triangle is isosceles in two ways.

Homework: Read and take notes on sec. 3.7 (p. 148-152) and do p. 152-155 # 3, 4, 6-10, 15, 18 & 20.  Be ready to test on vocab 1-28.

Communicate it!  Write a paragraph explaining the difference between each of the theorems in this section and give an example of each – to hand in!

 Sec. 3.7 (continued)

 Objectives: same as Tuesday, Nov. 6

 Homework: Reread sec. 3.7 and do p. 152-155 # 11, 12, 16, 17, 21, 24, 25

Communicate it!   Draw the picture from problem #25, then write as many equations as you can using the information in the problem.  Next, write a paragraph verifying you must have two equations in # 25 to solve the problem, but there is more than one pair of equations that will give the same answers – to hand in!

Sec. 3.8 -- The HL Postulate

Objectives: You will be able to :

·State correctly the HL Postulate.

·Use the HL Postulate to prove right triangles congruent.

Homework: Read sec. 3.8 (p. 156-158) an do p. 158-160 # 7, 13-17 & begin work on Practice Test 

Communicate it!  Write a paragraph answering the following question: Can two right triangles that are congruent by the HL postulate only also be congruent by the SAS postulate?  Why or why not? – to hand in! &   Study for QUIZ.