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Perry High School
Kevin M. Bond, PHD
Geometry: Week 7 Monday: 2.6 – Proving Statements about Angles
Tuesday: 2.6 – Work Day
Wednesday: Review Day 1
Thursday: Review Day 2
Friday: Exam 2
Next Week: Debrief, Exam 2 round 2, Start Chapter 3
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Perry High School
Kevin M. Bond, PHD
Monday: Mindfulness Training
This week: Body and Sound Meditation
http://marc.ucla.edu/mpeg/Body-Sound-
Meditation.mp3
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Perry High School
Kevin M. Bond, PHD
Debrief 2.5
Mindfulness Exercise
Questions on 2.5?
#18
Mixed Review, p. 107: Evens
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Perry High School
Kevin M. Bond, PHD
2.6: Congruence of Angles
Goals
•More working with
congruence, angles,
and proofs.
•Mathematical Literacy
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Perry High School
Kevin M. Bond, PHD
Construction Review
5 Minutes
• Copy a segment
• Copy an angle
• Bisect a segment
• Bisect an angle
What property let’s us
make reliable copies?
Challenge
• Construct a rectangle.
• Bisect an angle in this
rectangle.
• Bisect the opposite
side of the bisected
angle.
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Perry High School
Kevin M. Bond, PHD
Theorem 2.2, Page 109
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Perry High School
Kevin M. Bond, PHD
Reading Proofs
2.6: Page 109+
Example 1, 2
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Perry High School
Kevin M. Bond, PHD
Right Angle Congruence Theorem All right angles are
congruent
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Perry High School
Kevin M. Bond, PHD
Congruent Supplements Theorem
If two angles are
supplementary to the
same angle (or to
congruent angles)
then they are
congruent.
If m∡1+m ∡ 2 = 180
AND
m ∡ 2+m ∡ 3 = 180
THEN
∡ 1 is congruent to ∡ 3
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Perry High School
Kevin M. Bond, PHD
Congruent Complements Theorem If two angles are
complementary to the
same angle (or to
congruent angles) then
they are congruent.
If m ∡ 4+m ∡ 5 = 90
AND
m ∡ 5+m ∡ 6 = 90
THEN
∡ 4 is congruent to ∡ 6
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Perry High School
Kevin M. Bond, PHD
Linear Pair Postulate
If two angles form a
linear pair, then they
are supplementary.
Notice how we have
been using this all
along.
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Perry High School
Kevin M. Bond, PHD
Vertical Angles Theorem
Vertical angles are
congruent.
Previously we said
“Trust us” on this one,
now you can prove it
using the linear pair
postulate.
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Perry High School
Kevin M. Bond, PHD
2.6 Practice
Day 1 (Today)
Read 2.6, p.109
Guided Practice 1-9
Mixed Review 38-45
Day 2 (Tomorrow)
2.6, p. 113
12-22 all
23-28 all
33-36 all
Show when completed
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Perry High School
Kevin M. Bond, PHD
Tuesday: Mindfulness Training
This week: Body and Sound Meditation
http://marc.ucla.edu/mpeg/Body-Sound-
Meditation.mp3
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Perry High School
Kevin M. Bond, PHD
2.6 Work Day
Day 1 (Yesterday)
Read 2.6, p.109
Guided Practice 1-9
Mixed Review 38-45
Day 2 (Today)
2.6, p. 113
12-22 all
23-28 all
33-36 all
Show when completed
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Perry High School
Kevin M. Bond, PHD
Wednesday:
Mindfulness Training
This week: Body and Sound Meditation
http://marc.ucla.edu/mpeg/Body-Sound-
Meditation.mp3
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Perry High School
Kevin M. Bond, PHD
Debrief 2.6
Mindfulness Exercise
Questions on 2.6?
24, 26
Don’t forget – lecture notes, to include homework and videos, are
available online:
• http://faculty.perry.k12.ok.us/geometry-bond-kevin-lesson-plans/
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Perry High School
Kevin M. Bond, PHD
Chapter 2 Review
Day One (Today)
Chapter Review, p. 118
• Vocabulary
• Examples and Problems 1-21
Day Two (Tomorrow)
Chapter Test (review), p., 121
1-19
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Perry High School
Kevin M. Bond, PHD
Thursday:
Mindfulness Training
This week: Body and Sound Meditation
http://marc.ucla.edu/mpeg/Body-Sound-
Meditation.mp3
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Perry High School
Kevin M. Bond, PHD
Alice in Wonderland
Secrets of Alice in Wonderland
https://www.youtube.com/watch?v=7xnSCNSyTho
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Perry High School
Kevin M. Bond, PHD
Chapter 2 Review
Day One (Yesterday)
Chapter Review, p. 118
• Vocabulary
• Examples and Problems 1-21
20, 21
Day Two (Tomorrow)
Chapter Test (review), p., 121
1-19
Extra Practice: p122: 1-17
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Perry High School
Kevin M. Bond, PHD
Friday: Mindfulness Training
STOP Meditation
• Stop what you are doing; put things down for a
minute
• Take a few deep breaths
• Observe your experience
• Proceed
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Perry High School
Kevin M. Bond, PHD
http://faculty.perry.k12.ok.us/geometry-
bond-kevin-lesson-plans/
