End Module 1 Review (1.1 to 1.26).notebook

1

November 15, 2016

Nov 10­12:28 PM

End of Module Review

HWReview #21-25

End of Module Exam on Wednesday

Do Now: Complete Do Now slip

Nov 10­12:33 PM

x = 1

y = -4

End Module 1 Review (1.1 to 1.26).notebook

2

November 15, 2016

Nov 10­12:43 PM

Sep 28­6:21 AM

0°148

End Module 1 Review (1.1 to 1.26).notebook

3

November 15, 2016

Sep 18­8:28 AM

A

0°

38

B

C D

x+3

5x-92(x+3) = 5x - 92x + 6 = 5x - 9 15 = 3x x = 5

EF = 5 + 3 = 8

Sep 18­8:28 AM

Let x = DF 2x = FC

15x + 2x = 153x = 15x = 5

DF = 5FC = 10

<3 and <6< 1 and <3< 2 and <6<4 and <6

<1 and <7

End Module 1 Review (1.1 to 1.26).notebook

4

November 15, 2016

Oct 13­10:39 AM

725256

56

5652

52

56

45

45

45

45

Oct 13­11:55 AM

73

73

73 39

39

2x - 10 = 3x - 65 x = 55

3232

End Module 1 Review (1.1 to 1.26).notebook

5

November 15, 2016

Oct 13­11:56 AM

904545

AC = 12 cm<ECD = 45 degrees

5065 50

<DEB = 50<ACE = 65

Oct 13­11:57 AM

6040

140

x = 140

x + 30 + 2x + 20 = 7x + 303x + 50 = 7x + 3020 = 4xx = 5

<KLM = 7(5) + 30 = 65<KLJ = 180 - 65 = 115

1) a + b + c = 180

2) c + d = 180

3) a + b + c = c + d

4) a + b = d

1) Angles in a triangle sum to 180 degrees

2) Linear pairs form supplementary angles

3) Substitution property

4) Subtraction Property

End Module 1 Review (1.1 to 1.26).notebook

6

November 15, 2016

Oct 13­11:57 AM

1) AB ≅ CD2) BC ≅ BC3) AC ≅ DB

1) Given2) Reflexive property3) Addition property

infinite

360/ 6 = 60 ... 60, 120, 180, 240, 300, 360

Oct 13­11:58 AM

y= -x

H

E

N

T-3, 5 : Three left, five upH'(4,6)E'(2,3)N'(3,8)

ry=-x : (x,y) -> (-y, -x)H''(-6,-4)E''(-3,-2)N''(-8,-3)

H'

E'

N'

H''

E''N''

End Module 1 Review (1.1 to 1.26).notebook

7

November 15, 2016

Oct 13­11:58 AM

Rotation 90: (x,y) -> (-y,x)A'(3,-4)B'(0,-4)C'(2,-7)

T(-4,-2): four left, two downA''(-1, -6)B''(-4,-6)C''(-2,-9)A

B

C A'B'

C'

A''B''

C''

(6,7)->(9,-2) T3,-9

(4,2) - >(7,-7)

Oct 13­11:59 AM

G

DH

F

F

0

DE

B

End Module 1 Review (1.1 to 1.26).notebook

8

November 15, 2016

Oct 13­11:59 AM

A'

0°

168

B'

C'

A'

B'

C'

Nov 9­6:34 AM

F' 0°156

D'

E'

End Module 1 Review (1.1 to 1.26).notebook

9

November 15, 2016

Nov 9­11:53 AM

rDE, TBB', RA'',270

R, T, r (ABC)

ABC ≅ A'''B'''C'''

Nov 9­6:34 AM

SAS

reflection, rotation, translation

1) <I ≅ <J HO≅KO2) <IKH ≅ <JHK

3) HK≅HK4) ΔHIK ≅ΔKJH

1) Given

2) In a triangle, angles opposite congruent sides are congruent3) Reflexive Property4) AAS ≅ AAS

End Module 1 Review (1.1 to 1.26).notebook

10

November 15, 2016

Nov 9­6:35 AM

1) DG ≅CG, AD ≅FC,BC ≅ED2) <GDC ≅ <GCD

3) DC ≅ DC4) AC ≅ FD5) ΔEDF ≅ Δ BCA6) <B ≅ < E

1) Given

2) In a triangle, angles opposite congruent sides are congruent3) Reflexive property4) Addition postulate5) SAS ≅ SAS6) Corresponding parts of congruent triangles are congruent

Nov 9­6:35 AM

1) AC ≅ AE, AB≅AF,<BDC ≅ <FDE2) < ACE ≅ <AEC3) CB ≅EF4) ΔCDB ≅ ΔFDE

1) Given

2) In a triangle, angles opposite congruent sides are congruent3) Subtraction property4) AAS ≅ AAS

1) AB ≅ AD, CB ≅ CD2) AC ≅ AC3) △ABC ≅ ADC

1) In a circle, all radii are congruent2) Reflexive Property3) SSS ≅ SSS

End Module 1 Review (1.1 to 1.26).notebook

11

November 15, 2016

Nov 9­6:35 AM

1) <C ≅ <D, AB bisects <CAD2) <CAB ≅ <DAB3) AB ≅ AB4) Triangle CAB ≅ Triangle DAB

1) Given2) A bisector divides an angle into two congruent parts3) Reflexive Property4) AAS ≅ AAS

1) FA ≅ BC, FE |_ FC,FC | DC, FE ≅ DC2) BA ≅ BA3) FB ≅ CA 4) <BFE, <ACD are right angles5) <BFE ≅ <ACD6) Tri BFE ≅Tri ADC

1) Given2) Reflexive Property3) Addition property4) Perpendicular lines form right angles5) All right angles are congruent6) SAS ≅ SAS

Nov 9­6:36 AM

2x - 5 + 123 = 1802x + 118 = 1802x = 62x = 31

3y = 123y = 41

x + 21 = 3x - 1521 = 2x - 1536 = 2xx = 18

39

39US = 39 + 39 = 78

End Module 1 Review (1.1 to 1.26).notebook

12

November 15, 2016

Nov 9­6:36 AM

2614

1417

172617 + 14 + 26

Triangle CED = 57

180 - 104 = 76<1 + <2 = 76<1 = 38<2 = 38

<1 = <2 = <3 = <4<3 = 38<4 = 38

<1 = 32<2 = 90<3 = 58<4 = 32

a) 4x + 10 = 2x + 32 2x + 10 = 32 2x = 22 x = 11

b) 6w - 18 = 3w +3 6w = 3w + 21 3w = 21 w = 7

BD = 24

Nov 9­6:37 AM

1) Parallelogram ABCD,AE ≅ FC2) AD ≅ CB3) <DAE ≅ <BCF4) Tri AED ≅ Tri CFB5) DF ≅ EB6) DE ≅ FB7) DFBE is a parallelogram

1) Given2) In a parallelogram, opposite sides are congruent3) In a parallelogram, opposite angles are congruent4) SAS ≅ SAS 5) Subtraction property6) Corresponding parts of congruent triangles are congruent7) A quadrilateral with both pairs of opposite sides congruent is a parallelogram

1) Rectangle ABCD, DF ≅ CE2) FE ≅ FE3) DE ≅ CF 4) AD ≅ BC5) <ADE and <BCF are right angles6) <ADE ≅ <BCF7) Tri ADE ≅ Tri BCF8) <1 ≅ <29) GF ≅ GE 10) Triangle GFE is isosceles

1) Given2) Reflexive Property3) Addition Property4) In a rectangle, opposite sides are congruent5) In a rectangle, all angles are right angles6) All right angles are congruent7) SAS ≅ SAS8) Corresponding parts of congruent triangle are congruent9) In a triangle, sides opposite congruent angles are congruent.10) A triangle with two congruent sides is isosceles

End Module 1 Review (1.1 to 1.26).notebook

13

November 15, 2016

Nov 9­6:38 AM

1) Parallelogram ABCD, DE | AC, BF | AC, AF ≅ CE2) <DEA and <BFC are right angles3) <DEA ≅ <BFC4) EF ≅ EF5) AE ≅ CF6) AD ≅ BC7) Tri DEA and Tri BFC are right triangles8) Tri DEA ≅ Tri BFC

1) Given2) Perpendicular lines form right angles3) All right angles are congruent4) Reflexive Property5) Subtraction property6) In a parallelogram, opposite sides are congruent7) A triangle with a right angle is a right triangle8) HL ≅ HL

Nov 9­6:38 AM

1) Parallelogram DEBK,BC ≅ DA, DJ ≅ BL2) JL ≅ JL3) DL ≅ JB4) EB || DK5) <CBD ≅ <ADB6) Tri CJB ≅ Tri ALD7) CJ ≅ AL

1) Given2) Reflexive Property3) Addition property4) In a parallelogram, opposite sides are parallel5) If parallel lines are cut by a transversal then alternate interior angles are congruent6) SAS ≅ SAS7) Corresponding parts of congruent triangles are congruent