Transcript Chapters 4.3-4.5 - Ms. Urquhart's Class Page

Sections 4.3 - 4.5
Triangle Congruence
If 3 sides of one triangle are
congruent to 3 sides of another,
then the 2 triangles are congruent.
SSS:
Decide whether or not the
congruent statement is true by
SSS. Explain your reasoning.
a.
b.

by SSS
Not 
by SSS
If 2 sides and the included angle of a
triangle are congruent to the
corresponding parts of another, then
the triangles are congruent.
SAS:
Decide whether or not the congruent statement is true
by SAS. Explain your reasoning.
c.
d.
No
If 2 angles and the included side
of a triangle are congruent to the
corresponding parts of another,
then the triangles are congruent.
ASA:
Decide whether or not the congruent
statement is true by ASA. Explain your
reasoning.
c.
A
B
E
C
D
d.
If 2 angles and the non- included side
of a triangle are congruent to the
corresponding parts of another, then
the triangles are congruent.
AAS:
Decide whether or not the congruent
statement is true by AAS. Explain your
reasoning.
c.
d.
Yes ASA
NO
 Leg: 2 shorter sides of a right triangle
 Hypotenuse:
Longest side of a right
triangle and opposite the right
angle
If the hypotenuse and a leg of a
right triangle are congruent to
the corresponding parts of
another, then the triangles are
congruent.
HL:
Decide whether there is enough information to
prove that the two triangles are congruent by
using HL theorem.
A)
B) B and  D are both right angles.
C is the midpoint of
BD
.
SSA / ASS
On Your Own 5:
Can the triangles be proven congruent with the
information given in the diagram? If so, state the postulate
or theorem you would use.
1. is TSW  WVT?
2.
3.
Warm Up:
Use the diagram to
name the included
angle between the
given pair of sides.
a.
c.
b.
H
HIG
HGI
On Your Own 2:
Use the diagram to
name the included
angle between the
given pair of sides.
a.
c.
b.
GIJ
HGI
J
EXTRA PRACTICE
Explain how you can prove that the
indicated triangles are congruent using the
given postulate or theorem.
a.
b.
c.
Practice problems
State the third congruence that is needed
to prove that ∆ DEF ∆ ABC, using the
given postulate or theorem.
1.
2.
3.
EB
Tell whether you can use the
given information to show that
∆ JKL  ∆ RST.
4.
5.
6.
7.
NO
Yes AAS
Yes ASA
NO