lesson 4 2 triangle congruence sss sas asa aas
Download
Skip this Video
Download Presentation
Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS

Loading in 2 Seconds...

play fullscreen
1 / 11

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS - PowerPoint PPT Presentation


  • 221 Views
  • Uploaded on

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS. Vocab SSS (side-side-side) congruence Included angle SAS (side-angle-side) congruence. Draw the following figures using a ruler. Draw a triangle, measure its lengths

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 ' Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS' - tocho


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
lesson 4 2 triangle congruence sss sas asa aas
Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS

Vocab

SSS (side-side-side) congruence

Included angle

SAS (side-angle-side) congruence

draw the following figures using a ruler
Draw the following figures using a ruler
  • Draw a triangle, measure its lengths
  • Draw another triangle in a different “manner” using the same length sides.
  • Are the 2 triangles different? Are they the same shape, same size?

They’re

Congruent!

sss congruence
SSS congruence
  • If 3 sides are congruent to other 3 sides

→ ∆’s congruent bySSS (side-side-side)

Rule

draw the following figures using a ruler1
Draw the following figures using a ruler
  • A triangle with a 900 angle. Measure only the 2 sides that touch the 900
  • Draw another triangle in a different “manner” using the 2 measured lengths and 900 angle between them
  • Are the 2 triangles different? Are they the same shape, same size?

They’re

Congruent!

sas congruence
SAS congruence
  • If 2 sides and the included angle between them are congruent to other 2 sides and the included angle

→ ∆’s congruent by SAS (side-angle

side) Rule

→ Look for SAS – list S or A in order

8

8

750

750

12

12

examples
Examples
  • In ∆VGB, which sides include B?

2. In ∆STN, which angle is included between

and ?

3. Which triangles can you prove congruent? Tell whether you would use the SSS or SAS Postulate.

Y

A

P

X

B

slide7

D

4. What other information do you need to prove ∆DWO∆DWG?

5. Can you prove ∆SED ∆BUT from the information given? Explain.

O

G

W

U

T

D

E

S

B

proving congruence in s
Proving Congruence in ∆’s
  • Go in a circle around triangle naming markings or measures in order (S or A)
  • ∆’s congruent if :
    • SSS : all 3 sides
    • SAS : an angle between (included) 2 sides
    • ASA : a side between 2 angles
    • AAS : a side after 2 angles

NEW ONES!

hints
Hints
  • Use facts/rules to find any missing angle or side measures first
    • Is a side congruent to itself?
    • Can you use any angle facts to find missing angle measures?
    • Look for parallel lines
slide11

Which side is included between R and F in∆FTR?

  • 2. Which angles in ∆ STU include ?
  • Tell whether you can prove the triangles congruent by ASA or
  • AAS. If you can, state a triangle congruence and the postulate
  • or theorem you used. If not, write not possible.
  • 3.
  • 4.
  • 5.

Q

H

G

P

I

R

P

L

Quiz

Tomorrow!

4-1, 4-2

4-3

Y

A

A

B

C

X

ad