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1.Notes - Congruent Triangles

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If you please Mr. Scrooge, it's gotten colder, and the bookkeeping staff would like an extra shovel full of coal for the fire? Rat #1 : We can't do the bookkeeping, all our pens have turned to inkcicles! Rat #2 : Our assets are frozen! - PowerPoint PPT Presentation
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Page 1: 1.Notes - Congruent Triangles
Page 2: 1.Notes - Congruent Triangles

If you please Mr. Scrooge, it's gotten colder, and the bookkeeping staff would like an extra shovel full of coal for the fire? Rat #1: We can't do the bookkeeping, all our pens have turned to inkcicles! Rat #2: Our assets are frozen! Ebenezer Scrooge: How would the bookkeeping staff like to be suddenly... UNEMPLOYED? Rats: [singing] HEAT WAVE. This is my island in the sun...

Page 3: 1.Notes - Congruent Triangles
Page 4: 1.Notes - Congruent Triangles

1. Notes - Congruent Triangles

LAME

To prove two triangles are congruent using the definition, three pairs of sides must be congruent as well as three pairs of angles.

Page 5: 1.Notes - Congruent Triangles

1. Notes - Congruent TrianglesIs this a guarantee?

Page 6: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

Page 7: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

Page 8: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

Page 9: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

Page 10: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

Page 11: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

Page 12: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

90°65°25°

Page 13: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

90°

65°

25°25°90°

65°

Page 14: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

Page 15: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

25°

Page 16: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

25°

Page 17: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

A

BC

ABC DEF

92°

D

E

F

92°

Page 18: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

Page 19: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

Page 20: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

Page 21: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

Page 22: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

Page 23: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

A

B

C

D

E

F

ABC DEF

Page 24: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

90°

25°

Page 25: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

√90°

25°

Page 26: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

√65°

55°A

B

C

65°

55°

D

E

F

ABC DEF

Page 27: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

√90° 35°

Page 28: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

35°

90°

35°

35°

Page 29: 1.Notes - Congruent Triangles

7. Notes - Congruent TrianglesIs this a guarantee?

AAA

SSA

AAA

SAS

SSS

ASA

SAA

Page 30: 1.Notes - Congruent Triangles

7. Notes - Congruent Triangles

ASA

FRS PQD

S

F

R

120°

35°D

P

Q120°

35°

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7. Notes - Congruent Triangles

SSA

FRS QSR

S

F

R

42°

42° Q

Page 32: 1.Notes - Congruent Triangles

7. Notes - Congruent Triangles

SAS

FRS QSR

S

F

R

50°

50°Q

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7. Notes - Congruent Triangles

SSS

MNR PTB

M

N

R

T

P

B

Page 34: 1.Notes - Congruent Triangles

7. Notes - Congruent Triangles

Given: BC BF, CD FD

Prove: Δ BCD Δ BFD B

C

F

D

BC BF, CD FD Given

BD BD Reflexive Prop of

Δ BCD Δ BFD SSS

Statements Reasons

Page 35: 1.Notes - Congruent Triangles

FAKE OR LEGIT?

LEGITLEGIT

Page 36: 1.Notes - Congruent Triangles

FAKE OR LEGIT?

Page 37: 1.Notes - Congruent Triangles

FAKE OR LEGIT?

LEGITLEGIT

Page 38: 1.Notes - Congruent Triangles

FAKE OR LEGIT?

FAKEFAKE

Page 39: 1.Notes - Congruent Triangles

FAKE OR LEGIT?

Page 40: 1.Notes - Congruent Triangles

5. Classwork

Congruence Worksheet - 14.4A

• pg. 230 #8-12, 35-38;

• pg 238 #8-12; 32-37


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