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Intro to G.6. Congruent Triangles. Congruent Figures. Congruent figures are two figures that have the same size and shape. IF two figures are congruent THEN they have the same size and shape. IF two figures have the same size and shape THEN they are congruent. - PowerPoint PPT Presentation
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Intro to G.6
Congruent Triangles
1
Congruent Figures2
Congruent figures are two figures that have the same size and shape.
IF two figures are congruent THEN they have the same size and shape.
IF two figures have the same size and shape THEN they are congruent.
Two figures have the same size and shape IFF they are congruent.
Congruent Triangles - CPCTC
3
If ABC PQR
A
A P B Q C
B PQ BC Q C P
R
R A R
CPCTC: Corresponding Parts of Congruent Triangles are Congruent
Two triangles are congruent IFF their corresponding parts (angles and sides) are congruent.
BC
A
QR
PA ↔ P; B ↔ Q; C ↔ R
Vertices of the 2 triangles correspond in the same order as the triangles are named.
Corresponding sides and angles of the two congruent triangles:
≡
≡
=
=
│
│
Congruent Triangles
____
____
____
AB
BC
AC
ZY
YX
ZX
Lesson 4-2: Congruent Triangles 4
B
A
C
X Y
Z
≡ ≡=
=
│ │
∆ABC ______
A ____ Z
B _____
C ______
Y
X
∆ ZYX
∆ABC ∆XYZ
Note:
ZY
5
When referring to congruent triangles (or polygons), we must name corresponding vertices in the same order.
R
AY
S
UN
S
U
N
R
A
YSUN RAY
Also NUS YAR
Also USN ARY
Example…………
Example ………
6
M
O
N
TA SR
UP
E
1. Pentagon MONTA Pentagon PERSU
2. Pentagon ATNOM Pentagon USREP
3. Etc.
If these polygons are congruent, how do you name them ?