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U4L7 CPCTC and Proofs Review - All Methods Notes
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CONGRUENT TRIANGLE Proofs CPCTC Stands for Corresponding parts of congnient triangles are congruent What is CPCTC? Use CPCTC when asked to prove parts are _Congnient **BUT FIRST** you must prove the triangles Given: AB AD, BC = DC Prove: ZBCA = ZDCA Statements 1. AB AD 2. BC DC 3. AC AC 4. ABCAADCA 5 2 BCA LDCA 2 Given: PS | QR, ZOPS = <SRQ Prove: PQ = RS Statements 1. PS 11 QR 2. <QPS <SRQ 3. <ROS <PSQ 4. QS=SQ 5 APQS AR SQ 6. PQRS 1. are SSS 5. сестс : Congrient ! 5. AAS 6. CPCTC Reasons given 2. given 3. reflexive property 4. e +|| D 2 Reasons (sides/ angles) S R C 1. given 2. given 3. alternate interior angles 4. reflexive property Ⓒ Gina Wilson (All Things Algebra, LLC). 2014-2020 Given: X is the midpoint of WY and VZ Prove: ZXWV = ZXYZ Statements 1. X is the midpt of wy 2. WXX 3. √X ZX 4. <WXV < YXZ 5. A WXV AYXZ 6. <XWV ~ LX Y Z 4 Statements Given: JM bisects ZKJL, ZJMK = LJML Prove: JK JL 1. JM bisects LKJL 2. <JMKJML 3. <KJM ~ <LUM 4. JM JM 5. AJMKAJML 6. JK ≈ JL · Vz of Statements Given: BC || EF, D is the midpoint of BF Prove: ED= CD 1. Bull EF 2. D is the midpoint of BF 3. LE LC 4. BD = FD 5. <BDC <FDE 6. ABDC AFDE 7. ED & CD DA W Reasons 1. given 2. det of midpoint 3. det of midpoint 4. Vertical angles 5. SAS 6. CPCTC E Reasons 1. given 2. given 13. det of angle bisector 4. reflexive property 5. ASA 6. CPCTC K Reasons C 1. given 2. given 3. alternate interior angles 4. def. of midpoint 5. Vertical angles 6. AAS 7. сесте Gina Wilson (All Things Algebra, LLC)....
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Alternative transcript:
2014-2020
U4L7 CPCTC and Proofs Review - All Methods Notes
U4L7 CPCTC and Proofs Review - All Methods Notes
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CONGRUENT TRIANGLE Proofs CPCTC Stands for Corresponding parts of congnient triangles are congruent What is CPCTC? Use CPCTC when asked to prove parts are _Congnient **BUT FIRST** you must prove the triangles Given: AB AD, BC = DC Prove: ZBCA = ZDCA Statements 1. AB AD 2. BC DC 3. AC AC 4. ABCAADCA 5 2 BCA LDCA 2 Given: PS | QR, ZOPS = <SRQ Prove: PQ = RS Statements 1. PS 11 QR 2. <QPS <SRQ 3. <ROS <PSQ 4. QS=SQ 5 APQS AR SQ 6. PQRS 1. are SSS 5. сестс : Congrient ! 5. AAS 6. CPCTC Reasons given 2. given 3. reflexive property 4. e +|| D 2 Reasons (sides/ angles) S R C 1. given 2. given 3. alternate interior angles 4. reflexive property Ⓒ Gina Wilson (All Things Algebra, LLC). 2014-2020 Given: X is the midpoint of WY and VZ Prove: ZXWV = ZXYZ Statements 1. X is the midpt of wy 2. WXX 3. √X ZX 4. <WXV < YXZ 5. A WXV AYXZ 6. <XWV ~ LX Y Z 4 Statements Given: JM bisects ZKJL, ZJMK = LJML Prove: JK JL 1. JM bisects LKJL 2. <JMKJML 3. <KJM ~ <LUM 4. JM JM 5. AJMKAJML 6. JK ≈ JL · Vz of Statements Given: BC || EF, D is the midpoint of BF Prove: ED= CD 1. Bull EF 2. D is the midpoint of BF 3. LE LC 4. BD = FD 5. <BDC <FDE 6. ABDC AFDE 7. ED & CD DA W Reasons 1. given 2. det of midpoint 3. det of midpoint 4. Vertical angles 5. SAS 6. CPCTC E Reasons 1. given 2. given 13. det of angle bisector 4. reflexive property 5. ASA 6. CPCTC K Reasons C 1. given 2. given 3. alternate interior angles 4. def. of midpoint 5. Vertical angles 6. AAS 7. сесте Gina Wilson (All Things Algebra, LLC)....
CONGRUENT TRIANGLE Proofs CPCTC Stands for Corresponding parts of congnient triangles are congruent What is CPCTC? Use CPCTC when asked to prove parts are _Congnient **BUT FIRST** you must prove the triangles Given: AB AD, BC = DC Prove: ZBCA = ZDCA Statements 1. AB AD 2. BC DC 3. AC AC 4. ABCAADCA 5 2 BCA LDCA 2 Given: PS | QR, ZOPS = <SRQ Prove: PQ = RS Statements 1. PS 11 QR 2. <QPS <SRQ 3. <ROS <PSQ 4. QS=SQ 5 APQS AR SQ 6. PQRS 1. are SSS 5. сестс : Congrient ! 5. AAS 6. CPCTC Reasons given 2. given 3. reflexive property 4. e +|| D 2 Reasons (sides/ angles) S R C 1. given 2. given 3. alternate interior angles 4. reflexive property Ⓒ Gina Wilson (All Things Algebra, LLC). 2014-2020 Given: X is the midpoint of WY and VZ Prove: ZXWV = ZXYZ Statements 1. X is the midpt of wy 2. WXX 3. √X ZX 4. <WXV < YXZ 5. A WXV AYXZ 6. <XWV ~ LX Y Z 4 Statements Given: JM bisects ZKJL, ZJMK = LJML Prove: JK JL 1. JM bisects LKJL 2. <JMKJML 3. <KJM ~ <LUM 4. JM JM 5. AJMKAJML 6. JK ≈ JL · Vz of Statements Given: BC || EF, D is the midpoint of BF Prove: ED= CD 1. Bull EF 2. D is the midpoint of BF 3. LE LC 4. BD = FD 5. <BDC <FDE 6. ABDC AFDE 7. ED & CD DA W Reasons 1. given 2. det of midpoint 3. det of midpoint 4. Vertical angles 5. SAS 6. CPCTC E Reasons 1. given 2. given 13. det of angle bisector 4. reflexive property 5. ASA 6. CPCTC K Reasons C 1. given 2. given 3. alternate interior angles 4. def. of midpoint 5. Vertical angles 6. AAS 7. сесте Gina Wilson (All Things Algebra, LLC)....
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Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
2014-2020