Upload
anna-carmela-lavin
View
57
Download
2
Embed Size (px)
Citation preview
Ms. Anna Carmela Lavin
TRIANGLE
Characteristics
• Has three sides and
three angles
• The three angles
sums up to 180𝟎
Name the Corresponding
sides and angles
Answer:
According to side 1. 𝑫𝑬 ≅ 𝑨𝑩2. 𝑩𝑪 ≅ 𝑬𝑭3. 𝑨𝑪 ≅ 𝑫𝑭
Answer:
According to angles 1. < 𝑨 ≅ < 𝑫2. < 𝑩 ≅< 𝑬3. < 𝑪 ≅ < 𝑭
KEY WORDS
1.TRIANGLE
2. CORRESPONDING
3. CONGRUENT
Congruence
of a Triangle
}Ways to prove that Triangles are Congruent
SSS CONGRUENCE POSTULATE
Three sides of one triangle are
congruent to the three sides of another
triangle
R
PS
Q
U
T
ΔSTUΔPQR
Congruent or Not
Congruent
P
S
T
G
L
M
Congruent or Not
ΔLGMΔPST
Not Congruent
Congruent or NotD
E
G
F
ΔDEF ΔGEFCongruent
SAS CONGRUENCE POSTULATE
If two sides and the included angle of
one triangle are congruent to two sides
and the included angle of another
triangle
Congruent or Not
ΔABC ΔDEF
Congruent
Congruent or Not
ΔAPQ ΔBQP
Not Congruent
Congruent or Not
ΔMPN ΔQSR
Congruent
ASA CONGRUENCE POSTULATE
If two angles and the included side of
one triangle are congruent to the two
angles and the included side of another
triangle
Congruent or Not
ΔPQR ΔTSRCongruent
Congruent or Not
Congruent
Congruent or Not
ΔABC ΔDEF
Not Congruent
SAA THEOREM
If the two angles and the nonincluded
side of one triangle are congruent to
two angles and the nonincluded side of
another
Congruent or Not
Not Congruent
Congruent or Not
Congruent
Congruent or Not? Explain
Not Congruent
Congruent or Not? Explain
Congruent by SAA
Congruent or Not? Explain
Congruent by ASA
Congruent or Not? Explain
Congruent by SAS
Congruent or Not? Explain
Not Congruent
Congruent or Not? Explain
Not Congruent
Algebraic Application
L
M N
G F
H
800
(2x)0
Congruent or Not? Why?
Find x?
L
MN
X
Y
Z
510
(4x)0
Algebraic Application
650
Congruent or Not?
Find x?
Algebraic Application
(4x-2) cm
22 cm
Congruent or Not?
Find x?
Algebraic Application
N
M
K
J
500
Congruent or Not?
Find x and y?
y
12
x+9
Algebraic Application
L
M N
S R
Q
2x+11
3x+9
y+100
(2y− 40)0
Congruent or Not?
Find x and y?
Something to think
1. Are all isosceles congruent?
2. Are all right triangles congruent?
3.Are all equilateral triangles congruent?
4. Can congruence be determined without measurements?
Activity
Congruent or Not?
Find x and y?
3𝑥 600
Activity
N
M
K
J
L
GIVEN: ∆𝑱𝑳𝑲 ≅ ∆𝑵𝑳𝑴
IF m< 𝑱𝑲𝑳 = 𝟔𝟔𝟎, then m< 𝑵𝑴𝑳 = ?
IF MN=15 in, then KJ = ?