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Unformatted text preview: 17. Given: MRN
Prove: MNP QRP, MNP
QPN M QPN 3. R 4. Q RST 3. Third Angle Theorem P 4. SAS PNM R
1. 21. Given: EF HF
G is the midpoint of EH.
H P Reasons MRN
MNP 1. Given QRP,
QPN F G 2. MN QP 2. CPCTC 3. NP NP 3. Reflexive Property Proof: 4. SAS Statements Reasons 1. EF HF; G is the
midpoint of EH. 1. Given 2. EG GH 2. Midpoint Theorem 3. FG FG 3. Reflexive Property 4. MNP QPN 18. Given: AC GC
EC bisects AG.
AEC E A
E C 4. G EFG HFG 4. SSS Proof:
1. AC GC, EC
bisects AG. 1. Given 2. AE EG 2. Def. of segment bisector 3. EC EC 22. Each pair of corresponding sides is congruent. The
triangles are congruent by the SSS Postulate.
23. The triangles have two pairs of corresponding
sides congruent and one pair of angles congruent
but what is needed is the pair of included angles
to be congruent. It is not possible to prove the
triangles are congruent.
24. The triangles have one pair of angles congruent
and one pair of sides (the shared side) congruent. It
is not possible to prove the triangles are congruent.
25. The triangles have three pairs of corresponding
sides congruent and one pair of corresponding
angles congruent. The triangles are congruent by
the SSS or SAS Postulates.
26. Given: TS SF FH HT
TSF, SFH, FHT,
and HTS are right
angles. Reasons 4. GEC 19. Given:
Prove: 3. Reflexive Property
4. SSS AEC
LKG H K
J G L Proof:
1. GHJ Reasons
LKJ 1. Given 2. HJ
GH KJ, GJ
LJ 2. CPCTC Prove: HS 3. HJ KJ, GJ 4. HJ LJ KJ 5. KJ
HL 6. KG HL 6. Substitution 7. KG HL 7. Def. of segments
8. Reflexive Property 8. GL GL
9. GHL JG 3. Def. of segments 2. S
T N, and
M Proof: 5. Segment Addition Statements MP 1. Given
2. Given 4. N Reasons 1. TS SF FH HT
2. TSF, SFH, FHT,
and HTS are right
3. STH 9. SSS LKG PN, RT H 4. Addition Property 20. Given: RS PN
1. RS TF 4. SAS STH 5. HS TF THF 3. All right are . 5. CPCTC P 1. Given
2. Given 99 Chapter 4 ...
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