1. Congruence and triangles
Chapter 4 Section 4.2
Congruence and triangles

2. Warm-Up

3. Congruent Figures
Two geometric figures are congruent if the have exactly the same size and shape
When figures are congruent
Corresponding angles are
Corresponding sides are
Are these two  ?

4. Writing congruence statements
When writing a congruence statement it is important that the pieces correspond in the statement just like in the picture.

5. A M T C D N

7. Third Angle Theorem
If two angles of a triangle are congruent to two angles of another triangle, then the third angles are also congruent

8. Proving Figures Are Congruent
To prove two geometric figures congruent
Must show all corresponding

9. Determine If the Figures Can Be Proven Congruent
Given
DEG  FGE
Given
D  F
Right Angle Thm
DGE  FEG
Third Angle Theorem
Reflexive

10. Determine If the Figures Can Be Proven Congruent
Given
N  R
Given
P  T
M  Q

11. Determine If the Figures Can Be Proven Congruent
Given
X  Z
Given
XYW  ZYW
Right Angle Thm
XWY  ZWY
Third Angle Theorem
Reflexive

12. Use the given information to find the values of x and y

13. Use the given information to find the values of a and b