Use Congruent Triangles
4.6
Example: What triangles can you show are congruent in order to prove the statement.
What postulate or theorem would you use?
A
B
C
D
T
S
Q
R
V
U
W
Example: Proof
GIVEN:
see diagram
PROVE:
S
T
V
U
Example:
Given:
,
F
G
J
H
K
Pro
2.3 ~ Deductive Reasoning
mm; uses facts, denitions, accepted properties and the laws of
logic to form a logical argument. Q
Wism If theSe Pe 0D
If hypothesis p, then conclusion q. Statements
are true, (lbe, r
If hypothesis 9,, then conclusion
Identify Pairs of Lines and Angles 3.1
Two lines that dont intersect are either parallel
lines or skew lines.
- Parallel lines coplanar and do not intersect
I Skew lines not coplanar and do not intersect
Parallel planes are two planes that do not in
Prove Triangles Congruent by ASA & AAS
Postulate 21: Angle-Side-Angle (ASA)
Congruence Postulate
If two angles and the included side of one
triangle are congruent to two angles and the
included side of a second triangle, then the
two triangles are congrue
Prove Triangles Congruent by 555 4.3
Postulate 19:
If three sides of one triangle are congment to three sides of a second triangle, then
the two triangles are congruent. L.
Example: Prove the triangles are congruent.
. _ K N
Given: KL E M, KM 2