Unit 3 HW 3
p. 120 # 14, 15, 20, 21, 25, 26
p. 304 # 1, 3, 5
14.
Mrs. McCaleb
Statements
<1 = <4
<1 supp <2
<3 = <4
<2 = <3
PR = TS
NP = NT
ΔNPR = ΔNTS
Reasons
1. Given
2. Def Linear Pair
Reasons
1. Given
2.
3.
Statements
HM = JO
GO = KM
GH = KJ
GJ = HK
4.
ΔGOJ = ΔKMH
1.
2.
3.
4.
5.
15.
1.
3. Supps of = <s are =
4. Given
5. SAS
2. Given
3. If a segment is added to congruent
segments, the sums are congruent
4. SSS
20.
1.
2.
3.
4.
5.
21.
The congruent angles are not necessary, because EM is congruent to itself,
so the triangles are congruent by SSS
25.
Given
Def linear pair
supplements of congruent angles are congruent
Def midpoint
SAS
2.
3.
4.
Statements
<DAC = <3
<BAC = <1
<1 = <3
<DAC = <BAC
<4 = <2
<ABC = <ADC
5.
6.
AD = AB
ΔMRO = ΔPRO
1.
Reasons
1. Given
2. Transitive prop
3. Given
4. If = <s are added to = <s, the sums
are =
5. Given
6. ASA
26.
3.
4.
5.
6.
Statements
AB perp BC
AE perp DE
<ABC is right
<AED is right
<ABC = <AED
AE & AC trisect <BAD
<BAE = <DAC
<BAC = <DAE
7.
8.
AB = AE
ΔABC = ΔAED
1.
2.
Reasons
1. Given
2. Def perpendicular
3.
4.
5.
6.
Right < Thm
Given
Def trisect
If an angle (<EAC) is added to
congruent angles, the sums are
congruent
7. Given
8. ASA
p. 304
1.
1.
2.
3.
4.
5.
Statements
JM perp GM
GK perp KJ
<M is right
<K is right
<M = <K
<GHM = <JHK
<G = <J
Reasons
1. Given
2. Def perpendicular
3. Right < thm
4. Vertical angle thm
5. No Choice Thm
3. (The first 2 “givens” together tell you that BP is perpendicular to both PD & PC)
1.
2.
3.
4.
5.
6.
Statements
BP perp PD
BP perp PC
<BPD is right
<BPC is right
<BPD = <BPC
<C = <D
BP = BP
ΔPBC = ΔPBD
Reasons
1. Given
2. Def perpendicular
3.
4.
5.
6.
Right < thm.
Given
Reflexive prop
AAS
OK, so it turns out that there a couple of things necessary for this proof that you
haven’t learned yet. . . sorry about that! 
1. (you know this, just not in thm form): all radii of a circle are congruent
2. (much trickier—we will be covering this next tues & wed): once I prove
triangle WSO congruent to triangle VTO, then I can say that seg SO is congruent
to seg OT because they are corresponding sides of the 2 congruent triangles.
5.
1.
2.
3.
4.
Statements
Circle O
OW = OV
<SOV = <TOW
<SOW = <TOV
5.
6.
7.
<WSO = <VTO
ΔWSO = ΔVTO
SO = TO
Reasons
1. Given
2. All radii of a circle are =
3. Given
4. If an angle (WOV) is subtracted
From = <s, the differences are =
5. Given
6. AAS
7. CPCTC