Congruence and congruent triangles - Congruence

Intro Lesson

• a)

  1. Similar tirangles VS. Congruent triangles
  2. Ways to prove congruency:
  • SSS
  • SAS
  • ASA
  • AAS

• a)

  
  
  

• b)

  
  
  

• c)

  
  
  

• a)

  m$\angle\ G$ = ?

• b)

  m$\angle\ R$ = ?

• c)

  SR = ?

• d)

  $\overline{HK}$ = ?

• e)

  Find m$\angle\ R$.

• a)

  
  
  Given: $\overline{AC}$$\cong$$\overline{BD}$, $\overline{AD}$$\cong$$\overline{BC}$, $\angle\ CAD$$\cong$$\angle\ CBD$, $\angle\ ADC$$\cong$$\angle\ BCD$
  Prove: $\triangle\ ACD$$\cong$$\triangle\ BDC$

• b)

  Given: $\overline{XC}$$\cong$$\overline{ZC}$
  $\overline{CY}$ bisects $\overline{XZ}$
  Prove: $\triangle\ XCY$$\cong$$\triangle\ ZCY$
  
  

• a)

  Given: $\overline{AC}$$\cong$$\overline{BD}$, $\overline{AD}$$\cong$$\overline{BC}$, $\angle\ CAD$$\cong$$\angle\ CBD$, $\angle\ ADC$$\cong$$\angle\ BCD$
  Prove: $\triangle\ ACD$$\cong$$\triangle\ BDC$
  
  

• b)

  Given: $\overline{XC}$$\cong$$\overline{ZC}$
  $\overline{CY}$ bisects $\overline{XZ}$
  Prove: $\triangle\ XCY$$\cong$$\triangle\ ZCY$