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1.Notes - Congruent Triangles

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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?

√

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AAA

SAS

SSA

ASA

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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?

√

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√

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25°

SSA

ASA

SAA

ABC

DEF

7.Notes - Congruent Triangles

Is this a guarantee?

D

A

√

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E

AAA

92°

√

SAS

92°

SSA

B

C

ASA

SAA

F

65°

7.Notes - Congruent Triangles

Is this a guarantee?

√

SSS

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√

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

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√

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

√

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√

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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

7.Notes - Congruent Triangles

MNR

PTB

B

R

N

P

T

M

SSS

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

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LEGIT

FAKE OR LEGIT?

FAKE OR LEGIT?

LEGIT

FAKE OR LEGIT?

FAKE

FAKE OR LEGIT?

FAKE OR LEGIT?

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