University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

62

Pages:

9
Author:

Hanusia3lug

Geometry/Trig Unit 4 Proving Triangles Congruent Packet #1 Given: LF || WH: HYLY Name Answer Key Date Prove: triangle WHY cong triangle FLY W Statements 1. overline HY cong overline LY , overline LF || overline WH 2. L WELF, LHELL 3. Delta WHY cong Delta*FLY 1. Given AAS Reasons 2. If lines are parallel, altunate id tarin angles are congrent. 3. AAS Thenem 2. angle MHA cong angle TAH 3. overline AH cong overline AH 4. Delta MAH cong Delta*THA #2 M A Given: MH || AT: MH = AT Prove: triangle MAH cong triangle THA SAS T Reasons 1. Given Statements 1. overline MH cong overline AT , overline MH || AT 2. If lines are parallel, altunate interir angles are congruent 3. Reflexive 4. SAS Postulate #3 Given: ZX bisects angle WZY overline zx bisects WXY Z Prove: W X ASA Statements Reasons 1. Given 1. overline ZX bisects LWZY 2. angle wzx cong angle yzx 3. overline ZX LWxy 4. angle WX Z cong angle Y* Z 5. 2x cong overline 2x 6. triangle zy x cong triangle z cup x 2. Definition of Bisector 3. Given 4. Definition of & Bisector 5. Reflixme 6. ASA Postulati triangle ZYX = triangle ZWX #4 Given: E is the midpoint of AD E is the midpoint of BC C E Prove: Statements E is the mid point of AD 1. E is the midpoint of BC 3. BE cong EC 4. angle AEB cong angle DEC 5. 2 AE cong EO 6. triangle AEB cong triangle DEC #5 Given Prove overline AC perp overline BD triangle ACB cong triangle ACD Statements B D SAS Reasons 1. Given 2. Definition of midpoint 3 Given 4. Definition of midpoint Vertical Angles are Congruent 5. 6. SAS Postulate A B D AAS Reasons overline AC perp overline 8d B cong angle D 2. LACBELALD 3. overline AC cong overline AC 4. Delta ACB cong Delta*ACD 1. Given 2. If lines are 1, they intusect to frem adjacent 25. 3. Reflexive 4. AAS Shenem #6 M Given Prove MONP 1 MO INP Statements 2. LMON, LMOP are light is 3. AMON, AMOP are light As MN cong overline MP 4. 5. MC cong MD 6. triangle MON cong triangle MOP 1 Given 2 Definition of Perpendicular Lines N P HL Reasons 3. Definition of Right As 4 Given 5. Reflexive 6. HL Theorem angle B equiv angle D triangle MON equiv triangle MOP overline MN equiv overline MP triangle AEB cong triangle DEC #7 W Z Given: overline WO = overline z0 ; overline * O = overline YO Prove: angle W cong angle Z SAS Reasons Statements 1. overline WO cong overline ZU overline x 0 cong overline y0 2. angle w0x cong angle 20y 3. AWOX AΖΟΥ 4. angle W cong angle Z 1. Given 2. Veutical & Therem 3. SAS Postulate 4. СРСТС #B Q Given: PR bisects QPS and QRS R + P Prove: overline RQ equiv overline RS Statements 1. PR bisects / QPS and LGRS 2. LOPRELSPR, angle GRP cong angle SRP 3. overline RP cong overline RP 4. triangle QRP cong triangle SkF 5. overline RQ cong overline RS 1. brien S Reasons ASA 2. Definition of & Bisectoa 3. Reflexive 4. AS A Postulate 5. CPCTC #9 A HL Given: AC BD: AD DC Right A B D Prove: overline AB equiv overline BC C Statements Reasons 1. overline AD cong overline DC ACI BD 1. Griven L 4. overline BD cong BD 2. angle ABD LCBD au ight Ls 3. triangle ABD , Delta*CBD are right Delta*zeta 3. Definition of right Delta*s 5. Delta*AB D cong triangle CBD 2. Definition of 1 lines 4. Reflexive 5. HL Therem 6. overline AB cong overline BC 6. CPCTC