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Laabri

Wk 15 EOL 3.4

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Last updated 2 months ago
36 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

ONLY submit work and answers for each individual problem. SHOW YOUR WORK for how your got your answers for full credit.

ONLY submit work and answers for each individual problem. SHOW YOUR WORK for how your got your answers for full credit.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
SAS
SSS
AAS
ASA
HL
not congruent
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
SSS
SAS
not congruent
HL
AAS
ASA
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
not congruent
SSS
HL
ASA
AAS
SAS
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
SSS
ASA
not congruent
HL
AAS
SAS
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
not congruent
SSS
HL
ASA
SAS
AAS
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, HL or not congruent.

Mmuae Afoforo a Wobɛpaw:
SAS
ASA
HL
AAS
not congruent
SSS
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Proof 7. Statement #1.

Mmuae Afoforo a Wobɛpaw:
alternate interior angles
<ACB is congruent to <DBC
given
side CB is congruent to side BC
SSS
Side AC is congruent to side DB
reflexive property
SAS
HL
side AC is parallel to side DB
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Proof 7. Reason #2.

Mmuae Afoforo a Wobɛpaw:
reflexive property
SAS
HL
given
SSS
Side AC is congruent to side DB
<ACB is congruent to <DBC
side AC is parallel to side DB
alternate interior angles
side CB is congruent to side BC
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Proof 7. Reason #3.

Mmuae Afoforo a Wobɛpaw:
reflexive property
given
SSS
alternate interior angles
side AC is parallel to side DB
<ACB is congruent to <DBC
side CB is congruent to side BC
HL
Side AC is congruent to side DB
SAS
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Proof 7. Statement #4.

Mmuae Afoforo a Wobɛpaw:
reflexive property
side AC is parallel to side DB
<ACB is congruent to <DBC
SAS
Side AC is congruent to side DB
alternate interior angles
given
side CB is congruent to side BC
HL
SSS
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Proof 7. Reason #5.

Mmuae Afoforo a Wobɛpaw:
<ACB is congruent to <DBC
SAS
alternate interior angles
given
SSS
side AC is parallel to side DB
Side AC is congruent to side DB
reflexive property
side CB is congruent to side BC
HL
Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Proof 8. Reason #1.

Mmuae Afoforo a Wobɛpaw:
definition of midpoint
G is the midpoint of EI
ASA
HL
side EF is congruent to side IH
definition of angle bisectors
side EG is congruent to side IG
given
Right angles Theorem
Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Proof 8. Statement #2.

Mmuae Afoforo a Wobɛpaw:
HL
side EF is congruent to side IH
G is the midpoint of EI
definition of angle bisectors
Right angles Theorem
given
definition of midpoint
side EG is congruent to side IG
ASA
Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Proof 8. Statement #3.

Mmuae Afoforo a Wobɛpaw:
Right angles Theorem
given
definition of midpoint
definition of angle bisectors
HL
ASA
G is the midpoint of EI
side EF is congruent to side IH
side EG is congruent to side IG
Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Proof 8. Reason #4.

Mmuae Afoforo a Wobɛpaw:
given
Right angles Theorem
G is the midpoint of EI
side EF is congruent to side IH
ASA
HL
definition of angle bisectors
definition of midpoint
side EG is congruent to side IG
Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Proof 8. Reason #5.

Mmuae Afoforo a Wobɛpaw:
ASA
given
HL
Right angles Theorem
definition of angle bisectors
side EG is congruent to side IG
G is the midpoint of EI
definition of midpoint
side EF is congruent to side IH
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Proof 9. Statement #1.

Mmuae Afoforo a Wobɛpaw:
given
ASA
side WZ is congruent to side WX
<WXY is congruent <WZY
reflexive property
side WY bisects <XYZ
<XYW is congruent to <ZYW
definition of midpoint
definition of angle bisector
side WY is congruent to side WY
AAS
Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Proof 9. Statement #2.

Mmuae Afoforo a Wobɛpaw:
ASA
given
side WY is congruent to side WY
AAS
<XYW is congruent to <ZYW
reflexive property
<WXY is congruent <WZY
definition of midpoint
side WZ is congruent to side WX
definition of angle bisector
side AC bisects <BCD
Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Proof 9. Reason #3.

Mmuae Afoforo a Wobɛpaw:
side AC bisects <BCD
side WY is congruent to side WY
<XYW is congruent to <ZYW
definition of angle bisector
<WXY is congruent <WZY
ASA
reflexive property
definition of midpoint
AAS
given
side WZ is congruent to side WX
Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Proof 9. Statement #4.

Mmuae Afoforo a Wobɛpaw:
<WXY is congruent <WZY
reflexive property
AAS
<XYW is congruent to <ZYW
given
ASA
definition of midpoint
definition of angle bisector
side WY is congruent to side WY
side AC bisects <BCD
side WZ is congruent to side WX
Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Proof 9. Reason #5.

Mmuae Afoforo a Wobɛpaw:
reflexive property
<WXY is congruent <WZY
side WZ is congruent to side WX
definition of midpoint
definition of angle bisector
ASA
<XYW is congruent to <ZYW
side AC bisects <BCD
AAS
side WY is congruent to side WY
given
Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Proof 9. Statement.

Mmuae Afoforo a Wobɛpaw:
ASA
reflexive property
<XYW is congruent to <ZYW
definition of midpoint
side WZ is congruent to side WX
definition of angle bisector
side AC bisects <BCD
given
AAS
<WXY is congruent <WZY
side WY is congruent to side WY
Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Proof 10. Reason #1.

Mmuae Afoforo a Wobɛpaw:
definition of midpoint
vertical angles
AAS
<JKL is congruent to <MNL
alternate interior angles
L is the midpoint of side JM
side JL is congruent to side ML
side KJ is parallel to side MN
ASA
<KLJ is congruent to <NLM
CPCTC
given
Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Proof 10. Statement #2.

Mmuae Afoforo a Wobɛpaw:
L is the midpoint of side JM
vertical angles
AAS
side KJ is parallel to side MN
<KLJ is congruent to <NLM
side JL is congruent to side ML
ASA
CPCTC
given
<JKL is congruent to <MNL
alternate interior angles
definition of midpoint
Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Proof 10. Reason #3.

Mmuae Afoforo a Wobɛpaw:
CPCTC
<JKL is congruent to <MNL
definition of midpoint
alternate interior angles
<KLJ is congruent to <NLM
vertical angles
AAS
ASA
side JL is congruent to side ML
side KJ is parallel to side MN
L is the midpoint of side JM
given
Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Proof 10. Statement #4.

Mmuae Afoforo a Wobɛpaw:
<JKL is congruent to <MNL
vertical angles
side KJ is parallel to side MN
definition of midpoint
side JL is congruent to side ML
CPCTC
alternate interior angles
given
AAS
ASA
L is the midpoint of side JM
<KLJ is congruent to <NLM
Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Proof 10. .

Mmuae Afoforo a Wobɛpaw:
side JL is congruent to side ML
<KLJ is congruent to <NLM
AAS
<JKL is congruent to <MNL
side KJ is parallel to side MN
CPCTC
alternate interior angles
definition of midpoint
vertical angles
ASA
given
L is the midpoint of side JM
Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Proof 10. Reason #6 .

Mmuae Afoforo a Wobɛpaw:
side KJ is parallel to side MN
alternate interior angles
<KLJ is congruent to <NLM
AAS
L is the midpoint of side JM
<JKL is congruent to <MNL
side JL is congruent to side ML
given
vertical angles
definition of midpoint
ASA
CPCTC
Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Proof 10. Statement #7.

Mmuae Afoforo a Wobɛpaw:
L is the midpoint of side JM
side JL is congruent to side ML
<JKL is congruent to <MNL
alternate interior angles
<KLJ is congruent to <NLM
vertical angles
side KJ is parallel to side MN
given
ASA
definition of midpoint
AAS
CPCTC
Asemmisa {{asɛmmisaAhyɛnsode}}
30.

Proof 10. Statement #1.

Mmuae Afoforo a Wobɛpaw:
CPCTC
definition of midpoint
side OR is congruent to side PS
side OP is congruent to side PQ
side RP is congruent to side SQ
SAS
<OPR is congruent to <PQS
P is the midpoint of side OQ
SSS
given
Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Proof 10. Statement #1.

Mmuae Afoforo a Wobɛpaw:
SSS
definition of midpoint
SAS
side OR is congruent to side PS
side OP is congruent to side PQ
side RP is congruent to side SQ
<OPR is congruent to <PQS
given
CPCTC
P is the midpoint of side OQ
Asemmisa {{asɛmmisaAhyɛnsode}}
32.

Proof 10. Statement #3.

Mmuae Afoforo a Wobɛpaw:
CPCTC
side OR is congruent to side PS
side OP is congruent to side PQ
<OPR is congruent to <PQS
SSS
definition of midpoint
P is the midpoint of side OQ
given
side RP is congruent to side SQ
SAS
Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Proof 10. Reason #4.

Mmuae Afoforo a Wobɛpaw:
side OP is congruent to side PQ
SAS
SSS
P is the midpoint of side OQ
given
<OPR is congruent to <PQS
definition of midpoint
CPCTC
side RP is congruent to side SQ
side OR is congruent to side PS
Asemmisa {{asɛmmisaAhyɛnsode}}
34.

Proof 10. Reason #5.

Mmuae Afoforo a Wobɛpaw:
SAS
side OP is congruent to side PQ
P is the midpoint of side OQ
given
SSS
definition of midpoint
CPCTC
<OPR is congruent to <PQS
side RP is congruent to side SQ
side OR is congruent to side PS
Asemmisa {{asɛmmisaAhyɛnsode}}
35.

Proof 10. Statement #6.

Mmuae Afoforo a Wobɛpaw:
given
definition of midpoint
side RP is congruent to side SQ
SAS
side OP is congruent to side PQ
CPCTC
P is the midpoint of side OQ
<OPR is congruent to <PQS
side OR is congruent to side PS
SSS
Asemmisa {{asɛmmisaAhyɛnsode}}
36.

Proof 10. Reason #6.

Mmuae Afoforo a Wobɛpaw:
definition of midpoint
P is the midpoint of side OQ
side RP is congruent to side SQ
<OPR is congruent to <PQS
SAS
SSS
side OR is congruent to side PS
CPCTC
given
side OP is congruent to side PQ