DETAILED LESSON PLAN
DLP No.: 12
Learning Area: Mathematics
Grade Level: 8
Quarter: 3 Duration: 60 minutes
Learning
Competency/ Solves corresponding parts of congruent triangles.
Code: M8GE-IIIf-1
ies:
Key

Two triangles are congruent if and only if their corresponding parts are congruent.
Concepts / 
Suggested steps in solving problems involving corresponding parts of congruent
Understandi
triangles:
ngs to be
1. Read and understand the problem.
Developed:
2. Find the corresponding parts.
3. Solve the prroblem.
4. Check the result.
1. Objectives
Illustrate how corresponding parts of congruent triangles are congruent and can be used
Knowledge
to solve problems.
Skills
Solve corresponding parts of congruent triangles.
Attitudes
Use initiative in doing the activity.
Values
Shows cooperation in working with the group.
2. Content/
Solving Corresponding Parts of Congruent Triangles
Topic
3LearningRe
sources/M
LM in Math 8, Worktext page 104 – 105,metacards, cartolina
aterials/Eq
uipment
4. Procedures(indicate the steps you will undertake to teach the lesson and indicate the no. of minutes each
step will consume)
Preparation
A. Routinary Activities:
5minutes
1. Prayer
2. Checking of attendance and physical arrangement
B. Review on corresponding parts of congruent triangles through this illustration below:
Given: ∆HEY ≅ ∆KAT



Let student volunteer to name the congruent triangles given. ∆HEY ≅ ∆KAT
Use markings to label the corresponding congruent parts.Red Markings denote
answer.
Give the pairs of corresponding angles and sides of the triangles above.<H≅<K,
̅̅̅̅ ≅ ̅̅̅̅
̅̅̅̅ ≅ ̅̅̅̅
̅̅̅̅ ≅ 𝐾𝑇
̅̅̅̅
<E≅<A, <Y≅<T, 𝐻𝐸
𝐾𝐴, 𝐸𝑌
𝐴𝑇, 𝐻𝑌
Note: It is important to list the letters of the vertices in the correct order
whenever you write a congruence statement.
Presentation
25 minutes
Group Activity:
Divide the class into 5 groups. Let them refer to the figure given in answering the
questions below:
1. Given: ∆ 𝑈𝐵𝐷 ≅ ∆𝐷𝐼𝑅, ̅̅̅̅
𝑈𝐵 = 28, ̅̅̅̅
𝐵𝐷 = 36, ̅̅̅̅
𝑈𝐷 = 43,and ̅̅̅̅
𝐷𝑅 = 2x + 3.
U
43
28
D
36
2x + 3
R
I
B
1. Observe the given triangles, are they congruent?Yes.
2. Write the given measurements in the figure.Red label denotes answer.
3. Name three pairs of congruent angles.<D≅<U, <I≅<B, <R≅<D
̅̅̅ ≅ ̅̅̅̅
4. Name threepairs of congruent sides.𝑅𝐼
𝐷𝐵, ̅̅̅
𝐼𝐷 ≅ ̅̅̅̅
𝐵𝑈, ̅̅̅̅
𝑅𝐷 ≅ ̅̅̅̅
𝐷𝑈
̅̅̅. How about the measure of 𝐷𝐼
̅̅̅ ?36, 28
5.Find the measure of 𝐼𝑅
6. Solve for the value of x.
2x + 3 = 43
2x = 43 -3
2x = 40
x = 20
(Note: Checking of answers is drawn by lot. Every group is given one question).
7. Give another example to strengthen their understanding.
Refer to the figure at the right,
B
∆ BET ≅∆ RUY
̅̅̅̅ and 𝑅𝑈
̅̅̅̅
Find 𝑈𝑌
8+y
2y + 2 = 7y – 38
y=8
UY = 10
RU = 16
Practice
10minutes
U
Y
E
2y + 2
7y - 38
18 - y
T
R
Seatwork:
A. Given ∆PJM ≅ ∆PJO. Find the measure of each of the following:
O
10.5
P
.
420
7
a.
b.
c.
d.
e.
m∠JPM
m∠POJ
m∠PJO
̅̅̅̅
𝐽𝑀
̅̅̅̅
𝑃𝑂
J
1100
M
5. Assessment (indicate whether it is thru Observation and/ or Talking/conferencing to learners and/or
Analysis of Learner’s Products and/or Tests)
Written Test
15minutes
Answer Worksheet 44.0 Test A, B & C #1 – 3 of the Worktext on pp. 104 – 105.
6. Assignment (indicate whether it is for Reinforcement and/or Enrichment and/or Enhancement of the
day’s lesson or Preparation for a new lesson)
Enrichment
Refer to Worksheet 44.0 Test C #4-5 of the Worktext on page 105.
3minutes
7. Wrapup/Concludi
Close the period by wrapping – up the day’s lesson.
ng Activity
2minutes
Prepared by:
Name: Miraflor B. Meca
School: Estefa O. Monte MNHS
Position/Designation: MT I
Division: Danao City
Contact Number: 09336247332
Email address: miraflor.meca@deped.gov.ph