1. Table of Contents Date: 10/19 Topic: Congruent Triangles
Description: Making congruency statements using corresponding parts of congruent triangles.
Page: 17

2. Chapter 4 Section 3

3. Congruent Polygons Congruence Statement
Question, Topics and Vocabulary
Problems, Definitions and Work
Congruent Polygons
Two polygons are _____________ if and
only if their _______________________
___________________.
Congruence Statement
List corresponding vertices in the _______________________.
Valid statement using triangles above:

4. Example 1:
a) Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement.

5. Example 1:
b) The support beams on the fence form congruent triangles. In the figure ∆ABC is congruent to ∆DEF, which of the following congruence statements correctly identifies corresponding angles or sides?
MULTIPLE CHOICE
a) Angle ABC is congruent to angle EFD
b) Angle BAC is congruent to angle DFE
c) Side BC is congruent to side DE
d) Side AC is congruent to side DF

6. CPCTC If two polygons are _____________, then their
CPCTC
If two polygons are _____________, then their
______________________________________
_________________________________.
We say:

7. Example 2:
a) In the diagram, ∆ITP congruent to ∆NGO. Find the values of x and y.

8. Example 2:
b) In the diagram, ∆FHJ is congruent to ∆HFG. Find the values of x and y.

9. BRAIN BREAK!

10. Third Angles Theorem If two angles of one triangle are _______________
Third Angles Theorem
If two angles of one triangle are _______________
to two angles of a second triangle, then the
________________ of both triangles are
_________________.

11. Example 3:
ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If Angle IJK is congruent to angle IKJ and measure of angle IJK = 72, find measure of angle JIH.

13. Reflexive Property of Triangle Congruence
Reflexive Property of Triangle Congruence
Symmetric Property of Triangle Congruence
Transitive Property of Triangle Congruence

14. Summary!
1. In the diagram, ∆LMN ≅ ∆RST. Find the values of x and y.

15. Summary!
2. If triangle FGH is congruent to triangle JKI, name the corresponding angles.

16. Summary!
3. If ∆RPG is congruent to ∆FAS. Name all of the congruent corresponding sides and corresponding angles.

17. Summary!
4. Complete the congruence statement ∆VUT ≅ ___________________.