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DAILY LESSON PLAN
SCHOOL:
ILIGAN CITY NATIONAL HIGH
SCHOOL
GRADE
LEVEL:
Grade 8
STUDENT TEACHER: Mae L. Pioquinto
LEARNING
AREA:
Mathematics
TEACHING DATES: February 19, 2024 QUARTER: Q
I. OBJECTIVES
At the end of the lesson, the student will be able to:
Solve corresponding parts of congruent triangles
Appreciate the congruent triangles in real life situation.
A. Content Standards
The learner demonstrates understanding of key concepts of axiomatic structure of
geometry and triangle congruence.
B. Performance Standards
The learner is able to communicate mathematical thinking with coherence and
clarity in formulating, investigating, analyzing, and solving real - life problems
involving congruent triangles using appropriate and accurate representations.
C. Learning Competencies Solves Corresponding Parts of Congruent Triangles M8GE-IIIf-
II. CONTENT Geometry
III. LEARNING
PROCESS
Teacher’s guide, Learner's material
A. References
Mathematics 8 Quarter 3: Module 3
B. Learner’s Material
IV. PROCEDURES
Facilitator’s Activity Learner’s Activity
Project Method Drill:
Adding Integers
Subtracting Integers
A. Reviewing the previous
lesson or presenting the
new lesson
Question:
Can you still recall and name the parts of a
triangle?
What about finding parts of another triangle?
Yes, ma’am. The different parts of
a triangle include the three sides
and three angles.
To find corresponding parts in
another triangle, I would look for
matching angles and sides. For
example, if ∠A in one triangle is
congruent to ∠X in another
triangle, and side AB is congruent
The learners will have an activity called
“fact or bluff”. In this activity, the teacher
will present a statement then the task of each
group is to tell if the statement is a fact or a
bluff. The first group who will say “ ay okay”
will be the one to answer and the group
representative will answer it by clicking the
icon, “check” for the fact and “x” for bluff.
The group who can answer correctly will
receive 5 points.
N A W
O T R
- If angle N is equal to 55 then angle R is
also 55? Fact or Bluff
- According to triangle sum theorem the
sum of the interior angles of a triangle is
200? Fact or Bluff
- If two triangles have the same markings
therefore they are congruent? Fact or Bluff
∆BOE ≅ ∆XTE
Fact or Bluff
Questions:
- What is your strategy each group in order
to answer the question?
to side XY, then I can conclude
that these triangles share
corresponding parts.
G1: FACT
G2: BLUFF
G3: FACT
G4: BLUFF
- Teamwork and collaboration
B. Establishing a purpose
for the lesson
Question:
How will you determine if the triangles are
congruent?
Two triangles are congruent if
they meet one of the following
criteria. : All three pairs of
corresponding sides are equal. :
Two pairs of corresponding sides
and the corresponding angles
between them are equal. : Two
pairs of corresponding angles and
the corresponding sides between
3x-
the angles?
What is CPCTC?
Yes, CPCTC is an acronym for
Corresponding Parts of Congruent Triangles
are Congruent. It means that once two
triangles are proven to be congruent, then the
three pairs of sides that correspond must be
congruent and the three pairs of angles that
correspond must be congruent.
For example: Solve for x
Z
B
C
A X Y
Solution:
3x-10 = 2x-
3x-2x = -5+
X=
Checking:
3x-10 = 2x-
Example 2:
Given: ∆ABC ≅ ∆ADC
Find: y
Solution:
Since 𝐀𝀀
3y = 18 Definition of Congruent Segments
y = 18 ÷ 6
y = 6
Example 3:
Given that
∆MYX ≅ ∆JAN
, the
corresponding parts, particularly, the angles
Congruent Sides
CPCTC means Corresponding
Parts of Congruent Triangles are
Congruent.
(The students taking notes)
are congruent. By CPCTC, we can say that
∠M ≅ ∠J, ∠Y ≅ ∠A and ∠X ≅ ∠N. To find
∠X, we need to focus on ∆MYX. We know
that ∠M = 40 ° and since ∠Y ≅ ∠A, we can
say that ∠Y = 70 °.
∠M + ∠Y + ∠X = 180 ° Angle Sum Theorem
40 ° + 70 ° + ∠X = 180 °
110 ° + ∠X = 180 °
∠X = 180 ° - 110 °
∠X = 70 °
Example 4:
∆JOY is congruent to ∆FUL. Find the value
of n and ∠L.
Solution:
We know that when
JOY
FUL, the
corresponding angles ∠U and ∠O are
congruent. Thus, they have the same
measures.
2n+10 = 70 Substitute 𤀀∠ U = 2n+
and m ∠ O = 70
2n = 70-
n = 60 ÷ 2
n = 30
To find ∠L, we note that it corresponds to
∠Y. To come up with a total measure of 180 °
in∆JOY, ∠Y must be 50 °. Since ∠Y ≅ ∠L,
we can conclude that ∠L = 50 °.
E. Developing Mastery Using the groups we had on the first activity,
let’s do the activity Figuring It Out.
Given the following figures, find the value of
the indicated variable.
- ∆ABC ≅ ∆ADC. Find h.
Given ∆ABC ≅ ∆ADC
So, 𝐀𝀀
5h - 7 = 3h+
5h - 3h = 21+
2h = 28
h = 28 ÷ 2
corresponding parts are presented.
H. Evaluating Learning BLANK SPACES BETWEEN US
Directions: Complete the flowchart below on
a separate sheet of paper to summarize what
you have learned about solving
corresponding parts of congruent triangles.
I. Additional activities for
application and
remediation
Activity: Thinking It Over
Directions: Determine whether each
statement is true or false. Check the box of
your answer. If true, support it. If false, give
a counterexample. Write your answer on a
separate sheet of paper.
A. If two triangles are congruent, their
perimeter are equal.
True False _____________
B. If two triangles have the same perimeter,
they are congruent.
True False _____________
