Triangles congruent by SAS and HL proofs - Congruence

Intro Lesson

• a)

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

• a)

  Given: R is the midpoint of $\overline {MP}$.
  R is the midpoint of $\overline {NQ}$.
  Prove: $\triangle MRN$$\cong$$\triangle PRQ$
  
  

• b)

  Special case for right triangle:
  Given: $\triangle ABC$ is an isosceles triangle.
  D is the midpoint of $\overline {AC}$.
  Prove: $\triangle ABD$$\cong$$\triangle CBD$.
  
  

• a)

  Given: R is the midpoint of $\overline {MP}$.
  R is the midpoint of $\overline {NQ}$.
  Prove: $\triangle MRN$$\cong$$\triangle PRQ$
  
  

• b)

  Special case for right triangle:
  Given: $\triangle ABC$ is an isosceles triangle.
  D is the midpoint of $\overline {AC}$.
  Prove: $\triangle ABD$$\cong$$\triangle CBD$.
  
  

• a)

  
  
  

• b)