Trai

1. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
Bellwork
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 1

2. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
4.4 Prove Triangles Congruent by SAS
Pencil Demonstration.
2. Side­Angle­Side
(SAS)
*2 sides and the INCLUDED angle
If 2 sides & the included angle of one Δ are ≅ to the 2 sides and included angle
of another Δ, then the Δ’s are ≅ .
W
X
Y
M
N
P
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 2

3. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 3

4. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
Side­Side­Angle
(SSA)
*** No conclusion can be made from S­S­A
Make triangle
3. Hypotenuse­Leg
* Hypotenuse, leg, right
http://www.youtube.com/watch?v=wvYaFaMAwcc&feature=related
30
°
30
°
If the hypotenuse and a leg of a right Δ are ≅ to the hypotenuse and a leg
of a 2nd right Δ , then the 2 Δs are ≅ .
A
E F
≅ HL
C B D
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 4

5. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 5

6. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
HW pg. 243
#3­21
mult. of 3,
25, 26, 34
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 6

7. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
4.5 Prove Triangles Congruent by ASA & AAS
4. Angle­Side­Angle
(ASA)
*2 angles and the INCLUDED side
If 2 angles & the included side of one Δ are @ to the 2 angles and included side
of another Δ, then the Δ’s are @ .
Y M
W X
N
P
5. Angle­Angle­Side
(AAS or SAA)
*2 angles and the NON included side
If 2 angles and the non­included
side of one Δ are @ to the 2 angles and non­included
side of another Δ,then the Δ’s are @ .
A
B
C D
E
F
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 7

8. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 8

9. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
Other Scenarios
1. Angle­Angle­Angle
(AAA)
*** This scenario only proves that 2 triangles are similar.
*** No triangle congruency can be determined.
2. Side­Side­Angle
(SSA)
*** No conclusion can be made from S­S­A
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 9

10. 4.4 & 4.5 Triangle Congruence Theorems
October 17, 2013
HW pg. 252 #3­18
mult. of 3, 31 & 32
HW pg. 243 #3­21
multiples of 3, 25, 26, 34, pg. 252 #3­18
multiples of 3, 31 & 33 10