Download Chapter 4.1 Congruent Figures.notebook

Chapter 4.1 Congruent Figures.notebook
November 22, 2013
D.I.R.T?
Graph the following lines.
1) y = ­3x +7
3) Find the value of x, DO, and OG from the given picture if DO= 2x­11 and OG=x+3 and DG=13.
2) 4x ­ 2y = 8
D
O
G
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
4.1 Congruent Figures
Objective: To recognize congruent figures and their corresponding parts
M.2.B.
Performance Standard 3.4, 3.5 DOK­1
Knowledge MA 3
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
If polygons are congruent, then ALL sides and ALL angles are congruent. You need to code and label all pictures. ORDER MATTERS!!
B
A
E
F
D
C
H
G
ABCD ≅ EFGH
Code and label with tic marks.
List the congruent corresponding parts of the polygons.
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
WYS Ε MKV. List the congruent parts. Use three letters to name each angle.
4
Chapter 4.1 Congruent Figures.notebook
November 22, 2013
Are the following polygons congruent? (Are all sides and all angles congruent?)
A
F
R
M
5
Chapter 4.1 Congruent Figures.notebook
November 22, 2013
Are the following polygons congruent?
165
165
105
105
Code the second picture to make the following polygons congruent.
ABCD FGHE
E
A
130
74
D
B
56
F
100
C
H
G
6
Chapter 4.1 Congruent Figures.notebook
November 22, 2013
G
5
M
∆MAD≅∆OGD
4
D
O
3
A
MA≅______
m<O= _____
DM≅______
AD≅______
OG = ______
7
Chapter 4.1 Congruent Figures.notebook
L
∆LUVΕ∆OEG
G
25
U
November 22, 2013
E
3x+1
y
V
O
Find the value of x and m<O
8
Chapter 4.1 Congruent Figures.notebook
∆JAY Ε ∆BRD
R
A
w
12
8
J
November 22, 2013
2y­1
10
Y
B
x
y+1
z
D
Find x, y, z, and w.
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
The following polygons are congruent. Write a congruence statement and find the following:
G
R
88
S
M
132
O
C
U
___________________
E
L
I
≅_____________________
m<E = __________
Theorem 4.1 If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent.
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
E
B
3
3
4
C
4
D
A
Decide whether the triangles are congruent. Justify your answer.
1. AC = EC 2. AB = ED
3. BC = DC
4. m<A=m<E
5. m<BCA = m<DCE 6. m<B=m<D 7. ∆ ABC ≅ ∆ EDC
1. Given
2. AB = 3 = ED
3. 4.
5.
6.
7.
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Chapter 4.1 Congruent Figures.notebook
\
November 22, 2013
N
J
L
M
K
Can you conclude ∆JKL ≅ ∆MNL? Justify your answer.
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Chapter 4.1 Congruent Figures.notebook
November 22, 2013
Assignment: Pg. 182­185: #3­12, 14­26E, 30­34E, 49, 51
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