Transcript Congruent Triangles Day 2 ASA AAS

CCGPS Analytic Geometry
(8-20-13)
UNIT QUESTION: How do I prove
geometric theorems involving lines,
angles, triangles and parallelograms?
Standards: MCC9-12.G.SRT.1-5, MCC9-12.A.CO.6-13
Today’s Question:
What does it mean for two triangles
to be congruent?
Standard: MCC9-12.G.SRT5, CO.7-8
Challenge of the Day
1. Name the type of angles.
a)
b)
1
2
1
2. Solve for x.
a)
4x+22
10x-10
b) A and B are complementary.
A  7 x  1
B  4x  1
2
Homework Review
Before we start…let’s get a few things straight
C
A
Y
B
X
INCLUDED SIDE
Z
Angle-Side-Angle (ASA)
Congruence Postulate
Two angles and the INCLUDED side
Angle-Angle-Side (AAS)
Congruence Postulate
Two Angles and One Side that is
NOT included
}
NO BAD
WORDS
Your Only Ways
To Prove
Triangles Are
Congruent
Ex 1
In ΔDEF and ΔLMN , D  N , DE  NL and
E  L. Write a congruence statement.
 DEF   NLM
ASA
by ____
Ex 2
What other pair of angles needs to be marked so
that the two triangles are congruent by AAS?
D
E  N
L
M
F
E
N
Ex 3
What other pair of angles needs to be marked so
that the two triangles are congruent by ASA?
D
D  L
L
M
F
E
N
Determine whether each pair of triangles is congruent by
SSS, SAS, ASA, or AAS. If it is not possible to prove that
they are congruent, write not possible.
Ex 4
G
K
I
H
J
ΔGIH  ΔJIK by AAS
Determine if whether each pair of triangles is congruent by
SSS, SAS, ASA, or AAS. If it is not possible to prove that
they are congruent, write not possible.
Ex 5
B
A
C
D
E
ΔABC  ΔEDC by ASA
Determine if whether each pair of triangles is congruent by
SSS, SAS, ASA, or AAS. If it is not possible to prove that
they are congruent, write not possible.
Ex 6
E
A
C
B
D
ΔACB  ΔECD by SAS
Determine if whether each pair of triangles is congruent by
SSS, SAS, ASA, or AAS. If it is not possible to prove that
they are congruent, write not possible.
Ex 7
J
T
K
L
V
Not possible
U