Chapter 2, Section 3
Triangle Congruence: ASA and AAS
Theorem Angle-Side-Angle (ASA) Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Ex 1: Given
Write a congruence statement for the triangles above.
Ex 2: Which side is included between [pic] R and [pic]F in [pic]FTR?
Ex 3: Which angles in [pic]STU include [pic]?
Theorem Angle-Angle-Side (AAS) Theorem
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.
Ex 4:
Given:
Write a congruence Statement for the triangles above.
Ex 5:
Can you prove ASA or AAS? If yes, state the triangle congruence and the postulate or theorem you used.
Given: that MNOP is a parallelogram.
Ex 6:
Can you prove ASA or AAS? If yes, state the triangle congruence and the postulate or theorem you used.
2. What are the congruency statement for the following?
3. What about AAA, SSA, and AA? Find an example to support your conclusion?
-----------------------
C
F
A
C
B
D
G
____
______ by _____
M
N
O
Q
R
P
4
4
300
600
G
F
B
C
G
F
DFG
D
A
ABC
G
C
F
B
P
L
A
Y
A
C
X
D
5
A
D
G
B
F
B
C
A
D
A
D
A
B
G
C
F
B
5
420
420
380
1000
D
G
F
B
A
C
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- chapter 8 section 2 photosynthesis
- chapter 8 section 2 photosynthesis answers
- article 2 section 2 of us constitution
- chapter 4 section 2 economics
- article 2 section 2 of the constitution
- article 2 section 3 of the constitution
- section 1 chapter 2 science
- chapter 21 section 3 particles in solution worksheet
- chapter 8 section 8 2 wind
- chapter 9 section 2 organization of american political parties
- chapter 2 the living cell chapter preview 15 2 1
- chapter 6 section 3 pages 184 190