Download GCh 1 Smartboard Notes.notebook

GCh 1 Smartboard Notes.notebook
August 15, 2014
Linear Pair ­
a pair of adjacent angles whose noncommon sides are opposite rays
Finding Missing Angle Measures
Problem 3
I Do
∠KPL and ∠JPL are a linear pair, m∠KPL = 2x + 24, and m∠JPL = 4x + 36. What are m∠KPL and m ∠JPL?
If two angles form a linear pair then they are supplementary.
D
2 column Proof
Flowchart Proof
2
1
A
Statements B
1 and 2 form a L.P. (Given)
C
Reasons
1 and 2 form a L.P. are supp (
)
(Linear Pair postulate)
Given
are supp Linear Pair postulate
Assignment:
Def. of supp.(definition of supplementary)
(Def. of supplementary)
1.5 #4-26 evens & p. 41 16­25 (Mid Chapter Quiz) Assignment:
Warm up
1.5 #4-26 evens & p. 41 16­25 (Mid Chapter Quiz) B
Find the m∠AOB and m∠BOC.
(2x + 40)
A
O
(x ­ 10)
C
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GCh 1 Smartboard Notes.notebook
August 15, 2014
We Do
Getting Ready for Word Problems
∠DEF and ∠FEG are complementary. m∠DEF = 3x ­ 4 and m∠FEG = 5x + 6. Find the measures of both angles.
Getting Ready for Word Problems
1) The measure of an angle is 40 + 2x. Represent the supplement of this angle in terms of x.
I Do
An angle measures 12 degrees less than three times its supplement. Find the measure of the angle. __________
Let the angle =
the supplement =
2) The measure of an angle is 8x ­ 20. Represent the complement of this angle in terms of x.
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GCh 1 Smartboard Notes.notebook
August 15, 2014
Check
We Do
The supplement of an angle is equal to four times the
complement of the angle. Find the measure of the angle.
JK bisects ∠LJM, m∠LJK = (4x + 6)°, and m∠MJK = (7x – 12)°. Find m∠LJM.
Let the angle =
the complement =
the supplement =
Assignment:
1.5 Worksheet
An Angle bisector is a ray that divides an angle into two congruent angles.
Monday we will be doing Constructions. Bring your Compass and Straightedge please.
We Do KM bisects ∠JKL. If m∠JKL = 72, what is m∠JKM?
AY is the angle bisector of ∠XAZ, so ∠XAY ∠YAZ
I Do
Problem 4
Using an Angle Bisector to Find Angle Measures
You Do LM bisects ∠JLN. If m∠JLM = 42, what is m∠JLN?
AC bisects ∠DAB. If m∠DAC n = 580, What is m∠DAB?
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GCh 1 Smartboard Notes.notebook
August 15, 2014
Warmup
Name ________________________ 1. True or False?
Per # ______ Date _________
# 1.5 p. 37 4-26 evens
What kind of angle does # 7 describe?
how to teach constructions on smartboard
http://www.youtube.com/watch?v=­t98KlREcL4
MCQ p. 41 16­25
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