Proving Triangles Congruent - PowerPoint PPT Presentation

1 / 21
About This Presentation
Title:

Proving Triangles Congruent

Description:

Proving Triangles Congruent Prepared by Sonalisha Behera Khulna Buda Guided by Mr. Jitendra Nayak TGT(Mathematics) Two geometric figures with exactly the same size ... – PowerPoint PPT presentation

Number of Views:1060
Avg rating:3.0/5.0
Slides: 22
Provided by: jnvdeogar
Category:

less

Transcript and Presenter's Notes

Title: Proving Triangles Congruent


1
Proving Triangles Congruent
Prepared by Sonalisha Behera Khulna Buda
Guided by Mr. Jitendra Nayak TGT(Mathematics)
2
The Idea of a Congruence
Two geometric figures with exactly the same
size and shape.
3
Corresponding Parts
In Lesson 4.2, you learned that if all six pairs
of corresponding parts (sides and angles) are
congruent, then the triangles are congruent.
?ABC ? ? DEF
4
Do you need all six ?
NO !
5
Side-Side-Side (SSS)
6
Side-Angle-Side (SAS)


B

E






F
A



C
D
  1. AB ? DE
  2. ?A ? ? D
  3. AC ? DF

?ABC ? ? DEF
included angle
7
Included Angle
The angle between two sides
? H
? G
? I
8
Included Angle
Name the included angle YE and ES ES and
YS YS and YE
? E
? S
? Y
9
Angle-Side-Angle (ASA)


B

E






F
A



C
D
  1. ?A ? ? D
  2. AB ? DE
  3. ? B ? ? E

?ABC ? ? DEF
included side
10
Included Side
The side between two angles
GI
GH
HI
11
Included Side
Name the included angle ?Y and ?E ?E and
?S ?S and ?Y
YE
ES
SY
12
Angle-Angle-Side (AAS)


B

E






F
A



C
D
  1. ?A ? ? D
  2. ? B ? ? E
  3. BC ? EF

?ABC ? ? DEF
Non-included side
13
Warning No SSA Postulate
There is no such thing as an SSA postulate!
E
B
F
A
C
D
NOT CONGRUENT
14
Warning No AAA Postulate
There is no such thing as an AAA postulate!
E
B
A
C
F
D
NOT CONGRUENT
15
The Congruence Postulates
16
Name That Postulate
(when possible)
SAS
ASA
SSA
SSS
17
Name That Postulate
(when possible)
AAA
ASA
SSA
SAS
18
Name That Postulate
(when possible)
Vertical Angles
Reflexive Property
SAS
SAS
Reflexive Property
Vertical Angles
SSA
SAS
19
HW Name That Postulate
(when possible)
20
HW Name That Postulate
(when possible)
21
Lets Practice
Indicate the additional information needed to
enable us to apply the specified congruence
postulate.
For ASA
?B ? ?D
For SAS
?A ? ?F
For AAS
Write a Comment
User Comments (0)
About PowerShow.com