Proof Review

134.) Write a 2-column proof. Given: RSTU is a parallelogram Prove:

ΔRSU ≅ ΔTUS

135.) Write a 2-column proof. Given: 𝓇 𝓈; Prove: 𝓂

! !5 ≅ !6ℓ "

6

7

5

4

ℓ

𝓂 𝓇

𝓈

136.) Write a 2-column proof.

Given:

Prove:

AU ⊥ QU; !1 ≅ !2

DQ ⊥ QU1

2

Q U

D A

137.) Write a 2-column proof. Given: Prove: is an obtuse triangle

m!LGM = 25°ΔLGS

M

L

G S

138.) Write a 2-column proof.

Given: Prove:

!1 ≅ !2; !3 ≅ !4; LA ≅ RUΔWLU ≅ ΔWRA

W

L A U R

1 2 3 4

5 6 7

139.) Write a 2-column proof.

Given: K is the midpoint of ; Prove:

MR !M ≅ !RΔMGK ≅ ΔRGK

M K R

G

140.) Write a 2-column proof.

Given: Prove:

PX ≅ LT; ΔPRL is an isosceles Δ with base PLΔTRX is isosceles

L

X T

P

4 3

2 1

R

141.) Write a 2-column proof. Given:

Prove:

!1 ≅ !2; !3 ≅ !4

PT ≅ LX

L

X T

P

4 3

2 1

R

142.) Write a 2-column proof.

Given: Prove:

!1 ≅ !2; !3 ≅ !4; !1 ≅ !4; GV ≅ TVΔRVS is isosceles

1 4

3 2

5 6

G

R

V

S

T

143.) Given: Prove:

NL = NM; AL = BMNA = NB

144.) Write a 2-column proof.

Given:

Prove:

NO bisects !POM; NO ⊥ MP

NO is ⊥ bisector

145.) Write a 2-column proof.

Given: Prove:

RL ! CD; LC !DR!5 ≅ !6

146.) Write a 2-column proof.

Given:

Prove:

!4 ≅ !2; DR ≅ LC

RL ≅ CD

147.) Write a 2-column proof.

Given:

Prove:

m!ADC = 30° and m!ADB = 15°

DB! "!

bisects #ADC

148.) Write a 2-column proof. Given: Ð1 @ Ð2; p ^ q

Prove: p ^ r

s

t

ut

149.) Write a two-column proof.

Given: C is the midpoint of

; Prove:

BD and AE

!A ≅ !E AB ≅ EDΔABC ≅ ΔEDC

150.) Write a 2-column proof.

Given:

Prove:

PN bisects MO

PN⊥ MOΔMNP ≅ ΔONP

151.) Write a 2-column proof.

Given: ; Prove:

!FAB ≅ !GED; !ACB ≅ !DCE; AC ≅ ECΔABC ≅ ΔEDC

152.) Write a 2-column proof.

Given:

Prove:

NO !MP; "N ≅ "P

MN !OP

153.) Write a 2-column proof.

Given: Prove:

XY ≅ WZ, XW < YZm!XYW <m!ZXY