Write a proof.
Download
1 / 5

EXAMPLE 1 - PowerPoint PPT Presentation


  • 136 Views
  • Updated On :

Write a proof. GIVEN. KL NL , KM NM. PROVE. KLM NLM. Proof. KL NL and KM NM. It is given that. LM LN . By the Reflexive Property,. So, by the SSS Congruence Postulate,. KLM NLM. EXAMPLE 1. Use the SSS Congruence Postulate. DFG HJK.

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 'EXAMPLE 1' - kat


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
Slide1 l.jpg

Write a proof.

GIVEN

KL NL,KM NM

PROVE

KLMNLM

Proof

KL NL andKM NM

It is given that

LM LN.

By the Reflexive Property,

So, by the SSS Congruence Postulate,

KLMNLM

EXAMPLE 1

Use the SSS Congruence Postulate


Slide2 l.jpg

DFGHJK

SideDG HK, SideDF JH,andSideFG JK.

So by the SSS Congruence postulate, DFG HJK.

for Example 1

GUIDED PRACTICE

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION

Three sides of one triangle are congruent to three sides of second triangle then the two triangle are congruent.

Yes. The statement is true.


Slide3 l.jpg

ACBCAD

2.

GIVEN :

BC AD

ACBCAD

PROVE :

It is given that BC AD By Reflexive property

AC AC, But AB is not congruent CD.

PROOF:

for Example 1

GUIDED PRACTICE

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION


Slide4 l.jpg

for Example 1

GUIDED PRACTICE

Therefore the given statement is false and ABC is not

Congruent to CAD because corresponding sides

are not congruent


Slide5 l.jpg

3.

QPTRST

GIVEN :

QT TR , PQ SR, PT TS

PROVE :

QPTRST

It is given that QT TR, PQ SR, PT TS.So by

SSS congruence postulate, QPT RST. Yes the statement is true

PROOF:

for Example 1

GUIDED PRACTICE

Decide whether the congruence statement is true. Explain your reasoning.

SOLUTION


ad