Here is a possible response from the contestant applying triangle congruence: For my kite design, I have used two congruent right triangles to form the basic kite shape. The two triangles share one side in common which forms the diagonal crosspiece of the kite. To show that the triangles are congruent, I will label the corresponding parts. Triangle ABC is congruent to triangle DEF. Specifically, side AB is congruent to side DE, side BC is congruent to side EF, and angle B is congruent to angle E since they are both right angles. By using congruent right triangles, it ensures that the kite will maintain its symmetrical shape when flying. The pull of the string will

1. Direction: Supply the missing word to complete each statement.
1. In every triangle, the sum of the measures of the three
interior _______is 180º.
2. If two angles are vertical angles, then they are_______________.
3. If two angles form a linear pair then they are ________________.
angles
congruent
supplementary

3. Direction: Put the jigsaw piece in the space where it fits
as quickly as you can. The first group to complete the
activity wins the game, followed by the second and
third groups, who are declared first, second, and third
placers, respectively.

4. So, what’s the main idea of this game?
The idea of “congruence”.

5. Activity 1

6. Guide Questions:
1. What have you seen in the picture? What do they have
in common?
2. Why are there triangles in the structures? Are the
triangles congruent?
3. Why are the bridges and buildings stable?
4. When do we say that two triangles are congruent?

7. Triangle is the most stable shape and
the congruence is needed to create even
surfaces. They are crucial in the construction
of large buildings and bridges.

8. MELC for Week 6
Illustrates Triangle Congruence
(M8GE-IIIf-1)

9. Discussion:
Figure 1

10. Example 1
Figure 2

11. Example 1
Figure 3

12. Guide Questions:
1. What can you say about the shape and size of the first
figure? second figure? and 3rd figure?
2. Among the given figures, which pair of triangles are
congruent?
3. Can we consider figure 3 as congruent triangles?
4. How can we ensure that the triangles are of the same
shape and size?

13. In figure 3, if triangles ABC and
TSR can match up their
vertices by flipping and rotating
the figures until they overlap
exactly then you will notice the
corresponding sides and the
corresponding angles that
overlapped are congruent.

15. Corresponding Parts

16. Congruent Parts

17. Group Activity
The class will be divided into three groups. Each
representative will be asked to report their assigned
output. Please be guided by the rubric for grading.
Time limit: 2 minutes

18. Rubric for Grading

19. Activity 2
Direction: Mark the angles and sides of each pair of
triangles to indicate that they are congruent.

20. Activity 2
Direction: Mark the angles and sides of each of pair of
triangles to indicate that they are congruent.

21. Activity 2
Direction: Mark the angles and sides of each of pair of
triangles to indicate that they are congruent.

22. Questioning:
1. Can you name the corresponding sides?
Corresponding angles?
2. How many pairs of corresponding parts are congruent
if two triangles are congruent?
3. Where do you see congruent triangles?

23. Congruent Triangles
Two triangles are congruent
if and only if all their corresponding
parts are congruent.

24. Assessment
Directions: Show that the legs of the swing are congruent triangles. Complete the list of
corresponding congruent parts and name the congruent triangles.

25. We can assume the triangle as symbolism for foreign policy or
perhaps globalization effort. If two triangles are congruent, two
countries may have the same foreign policy/ globalization effort. On
the larger scale, if congruent triangles exist, several nations share the
same policies /globalization efforts.

26. In the present situation, if nations only share the same vision,
caring for each other, worldwide production of vaccines can be
shared. The SARS-COVID can be defeated, and all things will go back
normally. The economy will be back to stability, and peace among
nations is achievable, “NO WAR, NO VIOLENCE, and NO HUNGER.”

27. Agreement
Show how triangle congruence works in the situation below.
Assume that you are one of the contestants.
Situation:
In the upcoming City Festival, there will be a contest on kite
flying. As a contestant, you are to submit the design of your kite and
an instruction guide on how to make and fly a kite. You will also
submit the mechanics on how you came up with your design.