WS #2 SOLUTIONS

Right equiangular

obtuse acute

scalene

isosceles

equilateral

isosceles

acute, isosceles

obtuse, scalene regular

right, scalene

115=4x+7+5x115=9x+7

108=9x12=x

180=4x+7 + x + 3x+13180=8x+20

160=8x20 = x

- equilateral &

equiangular

90=2x+3x+1090=5x+10

80=5x16=x

6x-7=3x+203x=27

x=9

6x+12=70+326x+12=102

6x=90x=15

4x-16=2x+422x+16=42

2x=26x=13

TRS SQT DFE GIH

QLM NPM JIH FCD

M

A

B

Y FE

J

A T CO

D

A

C

P KO

W

5

7

3 = 5+3+7 = 15

30°

80°

21

35

7x+7

21 = 7x+714 = 7x

2 = x

WO =7(2)+7

WO =21

CNBD – parts don’t correspond

SASAAS

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

2. 2. prop lines, all right s

4. 4. d

5. 5. reflexive prop

6. Δ Δ 6. ASA

3. 3. given

1. 1. given

R U

Statements Reasons

3. 3. given

5. ΔT Δ 5. SAS

1. 1. given

2. 2. given

4. 4. def. midpoint

(6. (6. CPCTC)

We have not covered #6. You should complete to #5

Statements Reasons

2. A C are right angles∠ ∠ 2. given

4. 4. given

1. 1. given

5. 5. def. midpoint

3. A C∠ ∠ 3. all right angles are

6. Δ BEA ΔBDC 6. HL

Statements Reasons

2. 2. given

4. 3. reflexive prop

1. L J∠ ∠ 1. given

5. ΔLKM ΔJMK 5. AAS

3. JKM LMK∠ ∠ 3. AIA