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!

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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!

Ebenezer Scrooge: How would the bookkeeping staff like to be suddenly... UNEMPLOYED?

Rats: [singing] HEAT WAVE. This is my island in the sun...

1. Notes - Congruent Triangles

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

LAME

1. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

25°

65°

90°

7. Notes - Congruent Triangles

Is this a guarantee?

65°

90°

25°

7. Notes - Congruent Triangles

Is this a guarantee?

65°

90°

25°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

25°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

25°

SSA

ASA

SAA

ABC

DEF

7. Notes - Congruent Triangles

Is this a guarantee?

D

A

SSS

E

AAA

92°

SAS

92°

SSA

B

C

ASA

SAA

F

65°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

65°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

65°

SAS

SSA

ASA

SAA

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

65°

SAS

SSA

ASA

SAA

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

65°

SAS

SSA

ASA

SAA

A

ABC

DEF

B

C

7. Notes - Congruent Triangles

Is this a guarantee?

E

SSS

AAA

SAS

SSA

ASA

F

D

SAA

25°

90°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

25°

90°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

ABC

B

DEF

55°

A

65°

C

7. Notes - Congruent Triangles

Is this a guarantee?

E

SSS

AAA

SAS

65°

SSA

F

55°

ASA

D

SAA

35°

90°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

35°

35°

35°

90°

7. Notes - Congruent Triangles

Is this a guarantee?

SSS

AAA

SAS

SSA

ASA

SAA

SAS

SSS

ASA

SAA

7. Notes - Congruent Triangles

Is this a guarantee?

AAA

AAA

SSA

7. Notes - Congruent Triangles

FRS

PQD

R

P

120°

Q

F

120°

35°

D

35°

S

ASA

7. Notes - Congruent Triangles

FRS

QSR

R

Q

42°

42°

F

S

SSA

7. Notes - Congruent Triangles

FRS

QSR

R

50°

Q

F

50°

S

SAS

Given: BC BF, CD FD

Prove: Δ BCD Δ BFD

BC BF, CD FD

BD BD

Reflexive Prop of

Δ BCD Δ BFD

C

Reasons

Statements

B

D

F

7. Notes - Congruent Triangles

Given

SSS

LEGIT

FAKE OR LEGIT?

LEGIT

FAKE OR LEGIT?

FAKE

FAKE OR LEGIT?

5. Classwork

• Congruence Worksheet - 14.4A
• pg. 230 #8-12, 35-38;
• pg 238 #8-12; 32-37