A wise person seeks knowledge and gains understanding from others who are knowledgeable. A person who understands values gaining wisdom from wise counsel.

1. “A wise man will hear
and increase in
learning, And a man of
understanding will
acquire wise counsel.”

2. TRIANGLE
CONGRUENCE
-M8GE-IIId-1

3. Our learning objectives for
today are:
1) Illustrate the corresponding parts of the
congruent triangles.
2) Relate the concept or the importance of
congruent triangle in real life.
3) Draw and show that the two triangles are
congruent.

4. Consider these pictures

6. Example 1

7. Corresponding sides
𝐴𝐵 ≅ 𝐷𝐸
𝐵𝐶 ≅ 𝐸𝐹
𝐴𝐶 ≅ 𝐷𝐹
Corresponding Angles
<A ≅ <D
<B ≅ <E
<C ≅ <F

8. Therefore, we can say that:
Two triangles are
congruent if their vertices
can be paired so that
corresponding sides are
congruent and
corresponding angles are
congruent.

9. Example 2
W

10. Corresponding sides
𝑁𝐸 ≅ 𝑇𝐴
𝑁𝑂 ≅ 𝑇𝑊
𝑂𝐸 ≅ 𝑊𝐴
Corresponding angles
<O ≅ <W
<E ≅ <A
<N ≅ <T
Congruent statement of the triangle
Therefore, OEN ≅ WAT

11. Remember:
Corresponding parts of
congruent triangles are
congruent (CPCTC)

12. Thank You…
Mathematics is not about
numbers, equations,
computations, or algorithms:
it is about understanding.
— William Paul Thurston, American
mathematician

13. Answer the following. (copy and answer).
1)What is congruent triangles?
2.) How many pairs of corresponding parts
are congruent if two triangles are congruent?
3.) If ΔPQR≅ΔLJK, what are the six pairs of
corresponding congruent parts?

14. ASSIGNMENT
A. Where else did you see
congruent triangles? Write as
many as you can.
B. Construct two congruent
triangles and list down the
corresponding parts.