4 4 proving congruence sss sas
Download
Skip this Video
Download Presentation
4-4 Proving Congruence- SSS, SAS

Loading in 2 Seconds...

play fullscreen
1 / 17

4-4 Proving Congruence- SSS, SAS - PowerPoint PPT Presentation


  • 133 Views
  • Uploaded on

4-4 Proving Congruence- SSS, SAS. Congruent. Means that corresponding parts are congruent, Matching sides and angles will be congruent. B. A. C. Y. X. Z. Naming. ORDER MATTERS!!!!. Example 1. If two triangles are congruent… Name all congruent angles Name all congruent sides. R.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '4-4 Proving Congruence- SSS, SAS' - marshall-monroe


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
congruent
Congruent
  • Means that corresponding parts are congruent,
  • Matching sides and angles will be congruent
slide3
B

A

C

Y

X

Z

naming
Naming
  • ORDER MATTERS!!!!
example 1
Example 1
  • If two triangles are congruent…
    • Name all congruent angles
    • Name all congruent sides

R

X

S

T

Y

Z

reminder
Reminder…
  • If two angles of one triangle are congruent to two angles of another triangle then the 3rd angles are congruent
keep in mind
Keep in mind
  • You can flip, turn or slide congruent triangles and they will maintain congruency!!
side side side congruence sss
Side-Side-Side Congruence (SSS)
  • If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent

X

Y

B

A

Z

C

side angle side congruence sas
Side-Angle-Side Congruence (SAS)
  • If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent.

B

D

E

F

C

A

slide11
Given that RQ||TS and RQ TS, Prove

RQ||TS

Given

Alt. int. <‘s are congruent

Given

Reflexive

R

S

SAS

Q

T

slide12
Given: Triangle CDE is an isosceles triangle. G is the midpoint of CE.

Prove:

D

E

C

G

Statement

Reason

  • Given
  • Def. of Isosceles Triangle
  • Midpoint theorem
  • Reflexive property
  • SSS

1

Triangle CDE is isosceles

2

CD = ED

3

CG = GE

4

DG = DG

5

angle side angle congruence asa
Angle-Side-Angle Congruence(ASA)
  • If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
slide15
Given: L is the midpoint of WE and WR||ED

Prove:

E

R

L

D

W

WL___EL. Since vertical angles are _____________,

______________ and by ______

Alternate interior

Congruent

Def. of midpoint thrm

Congruent

=

ASA

angle angle side congruence aas
Angle-Angle-Side Congruence(AAS)
  • If 2 angles and a non-included side of one triangle are congruent to the corresponding 2 angles and side of another triangle, then the 2 triangles are congruent.