NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles...

15
NEVER use SSA to prove triangles are congruent!

Transcript of NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles...

Page 1: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

NEVER use SSA to prove triangles are

congruent!

Page 2: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

CPCTCCorresponding Parts of Congruent Triangles are Congruent

Page 3: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

SSS

Also, make flashcards for:

SAS, ASA, AAS, and HL

Page 4: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Lesson 4-4

• I can use triangle congruence postulates to prove that triangles are congruent

Page 5: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Given

Given TS ≅ TS∆RST ≅ ∆UTS Reflexive

SSS

Page 6: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Given

Given

US ≅ US∆RSU ≅ ∆TSU Reflexive SAS

∠RSU ≅ ∠TSU Def’n of angle bisector

Page 7: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Def’n of angle bisector

Given

Given

Given ∠ABD ≅ ∠CBD∆ABD ≅ ∆CBD ASA

Your turn!

Page 8: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Given

Given BD ≅ BD∆ABD ≅ ∆CBD Reflexive

SSS ∠A ≅ ∠C CPCTC

Page 9: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Given

Given DF ≅ DF∆EDF ≅ ∆GFD

Reflexive

AASCPCTC

∠EDF ≅ ∠GFD DG ≅ FE

AIA

Page 10: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Given

Given CB ≅ CB Reflexive ∆ABC ≅ ∆DBC HL ∠A ≅ ∠D CPCTC

Page 11: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

∠ADB ≅ ∠CBD BD ≅ BD∆ABD ≅ ∆CDB

Given

Given

|| lines ↔ AIA ≅ Reflexive

SAS

Page 12: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

∠DEG ≅ ∠FEG GE ≅ GE∆DEG ≅ ∆FEG DE ≅ FE

Given

GivenDef’n of angle bisector

Reflexive

ASACPCTC

Page 13: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

Mickey Mouse

4-4 and 4-5

I got it!

I mostly get it

I need more helpI don’t get it at all!

Page 14: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

#1 I can recognize SSS, SAS, ASA, AAS and HL postulates

#2 I can use triangle congruence postulates to prove that triangles are congruent #1

#1#2

Page 15: NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent.

ASSIGNMENT:4-4 worksheet