Download Questions 4.4

October 23, 2014
Questions 4.4
Quiz Friday 4.1-4.4
• Classify Triangles by Sides
• Classify Triangles by Angles
• Triangle Sum
• Exterior Angle
• Congruence Statements and
Corresponding Parts
• SSS
• SAS
• HL
4.5
Prove Triangles Congruent
by ASA and 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 congruent.
E
If
then
Angle
Side
Angle
A≅ D
AC ≅ DF
C≅ F
ABC ≅ DEF
B
A
D
F
C
Theorem 4.6- Angle-Angle-Side (AAS) Congruence Theorem
If two angles and a non-included side of one triangle are congruent
to two angles and the corresponding non-included side of a second
triangle, then the two triangles are congruent.
E
If
then
Angle
Angle
Side
A≅ D
C≅ F
BC ≅ EF
ABC ≅ DEF
B
A
D
C
F
October 23, 2014
Ex 1) Is it possible to prove the triangles congruent? If so, state the postulate or
theorem you would use.
a)
Y
XYZ, LMN
X
Z
L
N
M
b)
ABC, QRS
S
B
C
R
Q
A
Ex 2) State the third congruence that is needed to prove that
given postulate or theorem.
a) Given: FH ≅ LN,
F≅
L, ? ≅
F≅
L,
? ≅
LMN using the
L
F
?
Use the AAS Congruence Theorem
b) Given: FH ≅ LN,
FGH ≅
M
G
?
Use the ASA Congruence Theorem
H
N
October 23, 2014
Ex 3) Tell whether you can use the given information to determine
whether
B≅
ABC ≅
DEF. Explain your reasoning.
E, AB ≅ DE, BC ≅ EF
Hint: draw a picture
Assignment:
P.252 #3-5, 7-10, 14-17, 33,
36-40 even, 41-43