WS #2 SOLUTIONS

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# WS #2 SOLUTIONS - PowerPoint PPT Presentation

WS #2 SOLUTIONS. equiangular. Right. obtuse. acute. isosceles. isosceles. equilateral. scalene. acute, isosceles. right, scalene. o btuse, scalene. regular. - equilateral &amp; equiangular. 115=4x+7+5x 115=9x+7 108=9x 12=x. 180=4x+7 + x + 3x+13 180=8x+20 160=8x 20 = x.

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Presentation Transcript

equiangular

Right

obtuse

acute

isosceles

isosceles

equilateral

scalene

acute, isosceles

right, scalene

obtuse, scalene

regular

- equilateral & equiangular

115=4x+7+5x

115=9x+7

108=9x

12=x

180=4x+7 + x + 3x+13

180=8x+20

160=8x

20 = x

6x+12=70+32

6x+12=102

6x=90

x=15

6x-7=3x+20

3x=27

x=9

90=2x+3x+10

90=5x+10

80=5x

16=x

4x-16=2x+42

2x+16=42

2x=26

x=13

DFE

GIH

TRS

SQT

JIH

FCD

QLM

NPM

A

J

3

5

= 5+3+7 = 15

M

Y

E

F

7

B

D

30°

80°

A

T

O

C

21 = 7x+7

C

W

WO =7(2)+7

7x+7

14 = 7x

21

WO =21

A

P

O

K

2 = x

35

SAS

CNBD – parts don’t correspond

AAS

SAS

CNBD – parts don’t correspond

SSS

HL

CNBD – AAA is invalid

ASA

Statements Reasons

1. ST 1. given

2.SA 2. def bisector

3. 3. given

4. 4. reflexive prop

5. Δ RAS ΔTAS 5. AAS

Statements Reasons

1. 1. given

2. 2. given

3. 3. def. midpt

4. 4. VA

5. Δ FUD ΔEGD 5. AAS

Statements Reasons

1. 1. given

2. 2. prop lines, all rights

3. 3. given

4. 4. d

5. 5. reflexive prop

6. ΔΔ 6. ASA

U

R

Statements Reasons

1. 1. given

2. 2. given

3. 3. given

4. 4. def. midpoint

5. ΔTΔ 5. SAS

(6. (6. CPCTC)

We have not covered #6.

You should complete to #5

Statements Reasons

1. 1. given

2. ∠A ∠C are right angles2. given

3. ∠ A ∠C 3. all right angles are

4. 4. given

5. 5. def. midpoint

6. Δ BEA ΔBDC 6. HL

Statements Reasons

1.∠L ∠J 1. given

2. 2. given

3. ∠JKM ∠LMK 3. AIA

4. 3. reflexive prop

5. ΔLKM ΔJMK 5. AAS