Chapter 4 Congruent Triangles Objective: 1) To recognize  figures & their corresponding parts.

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Presentation transcript:

Chapter 4 Congruent Triangles Objective: 1) To recognize  figures & their corresponding parts

R P Q A B C A  P B  Q C  R AB  PQ BC  QR CA  RP If ABC  PQR then find the corresponding parts CPCTC Theorem C C PT C orresponding arts ongruent riangles ongruent in are

ΔABC  ΔPQR AB  PQ BC  QR CA  RP B C A Q R P A  P B  Q C  R

ΔABC  ΔADC AB  AD BC  DC CA  CA B C A A  A B  D C  C D

ΔABC  ΔEBD AB  EB BC  BD CA  DE B C A A  E B  B C  D D E

Theorem If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are also congruent. Given:  B   E  A   D then:  C   F A B C D F E

A C B P R Q ΔABC  ΔPQR A  P 20 AB  PQ 4 BC  QR 8 ? ? ? ? R = 180 – (20 +52) =

In the diagram,  TJM   PHS. Complete the statement. 1.  P  3. m  M = m  S 2. m  P = 5. MT = 73  T cm m  J =

Find the value of x. ΔABC  ΔDEF 70  C   E

Write a congruence statement for these figures that can be proved congruent. ΔGDE  ΔEFG ΔYXW  ΔYZW