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Geometry
Chapter 4: Congruent Triangles
Day
Topic
Name____________________________________
Period__________________________________
Assignment
Score
1
4.1 Apply triangle sum properties.
Classify triangles by sides: scalene, isosceles, equilateral. Classify triangles by angles: acute, right, obtuse, equiangular.
What are interior angles in a triangle and what is the interior angle theorem? What are exterior angles in a triangle and
what is the exterior angle theorem? What is the relationship of the two acute angles in a right triangle?
4.1 Workbook.
1-26 all
p.224 mixed
review 54-63
/4
2
4.2 Apply congruence and triangles.
What does it mean that two figures such as triangles are congruent? How do you write or identify pairs of congruent
corresponding parts?
The third angle theorem: if two angles of one triangle are congruent to two angles of another triangle, then the third
angles are also congruent. Properties of congruent triangles: reflexive, symmetric, transitive.
4.2 Workbook.
1-17 all
p.231 mixed
review 54
/4
3
4.3 Prove triangles congruent by Side-Side-Side or SSS.
SSS congruence postulate: If three sides of one triangle are congruent to three sides of another triangle, then the two
triangles are congruent.
/4
4
4.4 Prove triangles congruent by Side-Angle-Side (SAS) and by Hypotenuse-Leg (HL).
SAS congruence postulate: If two sides and the included angle of one triangle are congruent to two sides and the
included angle of another triangle, then the two triangles are congruent.
HL congruence postulate: If the hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of
another triangle, then the two triangles are congruent.
4.3 Workbook.
1-15 all
p.239 mixed
review 31-37
Quiz 4.1-3 1-6
4.4 Workbook.
1-17 all
p.246 mixed
review 42-48
5
4.5 Prove triangle congruent by Angle-Side-Angle (ASA) or by Angle-Angle-Side (AAS).
ASA congruence postulate: If two angles and the included side of one triangle are congruent to two angles and the
included side of another triangle, then the two triangles are congruent.
AAS congruence postulate: If two angles and a non- included side of one triangle are congruent to two angles and a nonincluded side of another triangle, then the two triangles are congruent.
4.5 Workbook.
1-18 all
p.255 mixed
review 36-43
/4
6
4.6 Use congruent triangles.
When triangles are proven to be congruent then Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
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7
4.7 Use isosceles and equilateral triangles.
What is an isosceles triangle? Name the vertex, base, legs of an isosceles triangle.
Base angle theorem: if two sides of a triangle are congruent, then the angles opposite them are congruent. What is the
converse of the base angle theorem? Conditional Statement 1: if a triangle is equilateral, then it is equiangular.
Converse of Statement 1: if a triangle is equiangular, then it is equilateral. Write the statements as biconditional.
4.6 Workbook .
1-12 all
p.263 mixed
review 41-46
4.7 Workbook.
1-19 all
p.270 mixed
review 52-60
/4
/4
8
4.8 Perform congruence transformations.
What is a transformation of a figure? Three main types of transformation:
a) Translation: it moves every point of a figure the same distance in the same direction. Coordinate notation for a
translation: (𝑥, 𝑦) → (𝑥 + 𝑎, 𝑦 + 𝑏)
b) Reflection: it uses a line of reflection to create mirror image of the original figure. Coordinate notation for
reflection: → (𝑥, 𝑦) → (𝑥, −𝑦) Hint: multiply the y-coordinate by – 1.
c) Rotation: it turns a figure about a fixed point, called the center of rotation. Coordinate notation for rotation:
(𝑥, 𝑦) → (−𝑥, 𝑦) Hint: multiply the x-coordinate by – 1.
9
Chapter 4 review.
Chapter 4 practice test.
Page 286 1-15 all
10 Chapter 4 Exam. You have one shot at it so give it your very best effort.
I still have questions about:
Homework Rubric
Score: 0
I didn’t do the assignment.
Score: 1
I did at least 50% of the
assignment.
I did the assignment by the
end of the chapter.
I showed some work.
I checked some of my
answers with similar
problems in the textbook or
online book.
If I had questions, I didn’t
seek help.
Score: 2
I did at least 75% of the
assignment.
I did the assignment by the
end of the chapter.
I showed most of my work.
I checked most of my
answers with similar
problems in the textbook or
online book.
If I had questions, I sought
help most of the time.
Where can I get help?
My classmates. Form a study group! Get phone numbers or emails so that
you can phone a friend when you are in the hot seat.
My teacher. I’m in the Math Department Office (E200) from 7:00-7:30am
and 1:50-2:30 every day. I also have 3rd period planning so you can get help
from me. I have advisory in F203 and you are encouraged to come and get
help from me during travel days.
Free Tutoring. Let me know if you need a tutor.
4.8 Workbook.
1-21 all
p.279 mixed
review 45-51
Quiz 4.7-.8 1-8
/4
pp. 282-285
1-29 all
/4
Total points
/36
Score: 3
I did 100% of the assignment.
Score: 4
I did 100% of the assignment.
I did the assignment on time.
I did the assignment on time.
I showed all my work.
I checked all my answers with
similar problems in the
textbook or online book.
I showed all my work.
I checked all my answers with
similar problems in the
textbook or online book.
If I had questions, I sought help
all the time.
If I had questions, I sought
help all the time.
I taught the material to a
classmate, friend, or adult.
My parents or other adults. They are smarter than you think! Besides, it
creates good bonding time.
Textbook and its tutorial website, www.classzone.com. Select Little:
Geometry 2007, then choose code (ask me). Go to the online book at the
bottom of the screen and choose the desired chapter. There are lots of
practice problems here.
The World Wide Web. Check out the documents and links at
http://teacher.edmonds.wednet.edu/edmondswoodway/swahbeh