The document discusses various concepts of congruence in geometry, specifically focusing on line segments, angles, and triangles. It includes examples of items that can be compared for similarity and provides a problem involving the correspondence of angles and sides in congruent triangles. The purpose is to enhance understanding of congruence relationships among geometric figures.

1. OBJECT MATCH
CHALLENGE

2. Biscuits in the same packet

3. A ladder and a pillow in the same storage
room.

4. Sheets of the same letter-pad

5. A tennis racket and a computer monitor on
the same table.

6. Congruence among Line Segments
If two line segments have the same length, they are congruent

7. Congruence of Angles
If two angles have the same measure, they are congruent

8. Congruence of Triangles
Corresponding Sides: AB and EF, BC and
FG, AC and EG
Corresponding Angles: A and E,
B and F, C and G
Corresponding Vertices: A and E, B and F,
C and G

9. Problem:
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to
(i) E (ii) EF (iii) F (iv) DF

10. Applications