Download Questions 4.3

October 22, 2014
Questions 4.3
4.4
Prove Triangles Congruent
by SAS and HL
included angle
Ex 1) Use the diagram to name the included angle between the given pair
of sides.
A
a) BC and CD
D
b) BA and DA
B
c) AB and BC
C
October 22, 2014
Postulate 20- Side-Angle-Side (SAS) Congruence Postulate
If two sides and the included angle of one triangle are congruent to
two sides and the included angles of a second triangle, then the two
triangles are congruent.
V
If Side
RS ≅ UV
S
Angle
R≅ U
Side
RT ≅ UW
then
RST ≅
U
UVW
R
T
Ex 2) Decide whether enough information is given to prove that the triangles
are congruent using the SAS Congruence Postulate.
a)
ABD,
CDB
R
S
Q
b)
V
T
U
EFH, GHF
F
E
G
c)
H
KLM,
MNK
K
N
L
M
W
October 22, 2014
Right Triangles-
hypotenuse
leg
leg
Theorem 4.5- Hypotenuse-Leg (HL) Congruence Theorem
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse
and a leg of a second triangle right triangle, then the two triangles are
congruent.
Ex 3) Find two triangles that are congruent using HL Congruence Theorem.
B
A
C
D
H
G
F
E
October 22, 2014
Assignment
P.243 #4-8 even, 9-15 all,
20-22 all, 26, 38, 44, 48
Quiz 4.1-4.4 Friday