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4.1: Classifying Triangles - Mrs. Revilleza's Math...

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Name: ____________________________________________________________ Period:____________ Formal Geometry 2016-2017 [email protected] MrsRevillezaMath.weebly.com Chapter 4 Pages 232 - 317 Geometry – Glencoe McGraw-Hill (Red Textbook) 4.1: Classifying Triangles “I can classify triangles by sides and angles.” “I can find angle measures inside triangles.” Classifying Triangles by SIDES Classifying Triangles by ANGLES
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Name: ____________________________________________________________ Period:____________

Formal Geometry 2016-2017 [email protected] MrsRevillezaMath.weebly.com

Chapter 4 Pages 232 - 317 Geometry – Glencoe McGraw-Hill (Red Textbook)

4.1: Classifying Triangles

“I can classify triangles by sides and angles.”

“I can find angle measures inside triangles.”

Classifying Triangles by SIDES

Classifying Triangles by ANGLES

2

3

Daily Proofs

4

4.1: Classifying Triangles HOMEWORK

Page 239 – 240 #22, 24, 30, 32, 36, 50

#22 `#24

#30 #32

#36 #50

5

4.2: Angles of Triangles

“I can apply the Triangle Angle-Sum Theorem.”

“I can apply the Exterior Angle Theorem.”

Theorem List

Theorem 4.1 - Triangle Angle-Sum Theorem

Theorem 4.2: Exterior Angle Theorem

6

Triangle Angle-Sum Corollaries

4.1

4.2

7

Daily Proofs

8

4.2: Angles of Triangles HOMEWORK

Page 249 – 251 #20 – 26 even, 30, 32

#20 `#22

#24 #26

#30 #32

9

4.3: Congruent Triangles

“I can identify congruent triangles and corresponding parts.”

New Vocabulary

Congruent Polygons Corresponding Parts

Theorem 4.3: Third Angles Theorem

Theorem 4.4: Properties of Triangles Congruence Reflexive Property of Triangle Congruence Symmetric Property of Triangle Congruence Transitive Property of Triangle Congruence

CPCFC

Corresponding Parts of Congruent Figures are Congruent

CPCTC

Corresponding Parts of Congruent Triangles are Congruent

10

11

Daily Proofs

12

4.3: Congruent Triangles HOMEWORK

Page 257 – 259 #10-16 even & 20-22 even

#10 #12

#14 #16

#20 #22

13

4.4: Proving Triangles Congruent – SSS, SAS

“I can decide whether two triangles are congruent using 2 important theorems.”

POSTULATE 4.1 POSTULATE 4.2

SSS SAS

14

15

Daily Proofs

16

4.4: Proving Triangles Congruent – SSS, SAS HOMEWORK

Just do EVENS

17

4.5: Proving Triangles Congruent – ASA, AAS

“I can decide whether two triangles are congruent using 2 (MORE) important theorems.”

POSTULATE 4.3 THEROREM 4.5 THEROEM 4.9

ASA AAS HL

18

19

Daily Proofs

20

Proving Triangles Congruent – ASA, AAS HOMEWORK

PICK evens or

odds

21

4.6: Isosceles and Equilateral Triangles

“I can use the properties of an isosceles triangle.”

“I can use the properties of an equilateral triangle.”

New Vocabulary

Isosceles Triangle –

Legs –

Base –

Vertex Angle –

Base Angles –

THEROREM 4.10: ISOSCELES TRIANGLE THEOREM

THEROREM 4.11: CONVERSE OF ISOSCELES TRIANGLE THEOREM

22

EAQULATERAL TRIANGLE COROLLARIES

4.3 4.4

23

Daily Proofs

24

4.6: Isosceles and Equilateral Triangles HOMEWORK

Page 288 – 289 #16-22 even 38

#16 #18

#20 #22

#38

We’re done with the unit!!

Time to REVIEW.


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