1. CPCTC

2. ΔABC = ΔXYZ What You'll Learn
Congruent Triangles
What You'll Learn
You will learn to identify corresponding parts of congruent
triangles
If a triangle can be translated, rotated, or reflected onto another triangle, so
that all of the vertices correspond, the triangles are _________________.
congruent triangles
The parts of congruent triangles that “match” are called ______________.
congruent parts
The order of the ________ indicates the corresponding parts!
ΔABC = ΔXYZ
vertices

3. These relationships help define the congruent triangles.
In the figure, ΔABC 
ΔFDE. A
As in a mapping, the order of the _______ indicates the corresponding parts.
vertices C B
Congruent Angles
Congruent Sides
A  F
AB  FD F E D
B  D
BC  DE
C  E
AC  FE
These relationships help define the congruent triangles.

4. If the _________________ of two triangles are congruent, then
Congruent Triangles
Definition of
Congruent
Triangles
If the _________________ of two triangles are congruent, then
the two triangles are congruent.
corresponding parts
If two triangles are _________, then the corresponding parts
of the two triangles are congruent.
congruent

5. ΔRST  ΔXYZ ΔRST  ΔXYZ. Find the value of n.
Congruent Triangles
ΔRST  ΔXYZ. Find the value of n. T S R Z X Y
40°
(2n + 10)°
50°
90°
ΔRST  ΔXYZ
identify the corresponding parts
corresponding parts are congruent
S  Y
50 = 2n + 10
subtract 10 from both sides
1 - 28
40 = 2n
divide both sides by 2
20 = n