Geometry
Chapter 3: Parallel and Perpendicular lines
Name____________________________________
Period__________________________________
Assignment
Score
Day
Topic
1
3.1 Identify pair of lines and angles.
What are parallel lines? Parallel line postulate? What are skew lines? What are parallel planes? What are perpendicular
lines? Perpendicular postulate? What is a transversal? Sketch two lines and a transversal through them and identify:
corresponding angles, alternate interior angles, alternate exterior angles, consecutive (same side) interior angles.
3.1 Workbook.
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2
3.2 Use parallel lines and transversals.
a) Corresponding angles postulate: if two parallel lines are cut by a transversal, then the pairs of corresponding angles
are ≅.
b) Alternate interior angles theorem: If two parallel lines are cut by a transversal, then the pairs of alternate interior
angles are ≅.
c) Alternate exterior angles theorem: If two parallel lines are cut by a transversal, then the pairs of alternate exterior
angles are ≅.
d) Consecutive (same side) interior angles theorem: If two parallel lines are cut by a transversal, then the pairs of
consecutive interior angles are supplementary.
3.2 Workbook.
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3
3.3 Prove lines are parallel. What makes lines parallel?
a) Corresponding angles converse: write the converse of the corresponding angles theorem.
b) Alternate interior angles converse: write the converse of the alternate interior angles theorem.
c) Alternate exterior angles converse: write the converse of the exterior angles theorem.
d) Consecutive interior angles converse: write the converse of the consecutive interior angles theorem.
e) Transitive property of parallel lines: if two lines are parallel to the same line, then they are parallel to each other.
3.3 Workbook.
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4
3.4 Find and use slopes of lines.
3.4 Workbook.
What is slope? What is the slope formula? Identify: negative slope, positive slope, zero slope, undefined slope. How are 1-31 all
the slopes of parallel lines related? How are the slopes of perpendicular lines related?
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5
3.5 Write and graph equations of lines.
How to write an equation of a line? Ways of writing a general equation of a line:
Slope-intercept form: 𝑦 = 𝑚𝑥 + 𝑏, where m is slope and b is y-intercept.
Standard form: 𝐴𝑥 + 𝐵𝑦 = 𝐶, where A and B are not both zero.
How to find x-intercept? How to find y-intercept?
3.5 Workbook.
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6
3.6 Prove theorems about perpendicular lines.
a) If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular (⊥).
b) If two lines are⊥, then they intersect to form four right angles.
3.6 Workbook.
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c) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
d) Perpendicular transversal theorem: if a transversal is ⊥ to one or two parallel lines, then it is ⊥ to the other.
e) Lines⊥ to a transversal theorem: in a plane, if two lines are ⊥to the same line, then they are parallel to each other.
f) Shortest distance from a line to a point: it is the length of the ⊥segment from the point to the line.
g) Shortest distance between two parallel lines: it is the length of any ⊥segment joining them.
7
Chapter 3 review.
Chapter 3 practice test.
pp. 202-205
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Page 206 1-25
Total points
8
Chapter 3 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
/28
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