Math 109
Section 3.2
Corresponding Parts
of Congruent Triangles are Congruent
CPCTC
Corresponding parts
of congruent triangles are congruent
Examples
1)
|
Statement |
Reason |
|
1) |
1) Given |
|
2) |
2) Identity Property |
|
3) |
3) SSS |
|
4) |
4) CPCTC |
2)
|
Statements |
Reason |
|
1) |
1) Given |
|
2) |
2) All right angles are congruent |
|
3) |
3) Definition of a bisector |
|
4) |
4) If two lines intersect, the vertical angles form are congruent |
|
5) |
5) ASA |
|
6) |
6) CPCTC |
3)
|
Statement |
Reason |
|
1) C is the midpoint |
1) Given |
|
2) |
2) Definition of a midpoint |
|
3) |
3) If two lines intersect, the vertical angles form are congruent. |
|
4) |
4) SAS |
|
5) |
5) CPCTC |
, 
Application of Right
Triangles
Right Triangle
Facts
Pythagorean Theorem
In a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
Examples
1)
2)
3)
