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1. 4. reason: ON bisects reason: C is the midpoint of BD. answer: answer: PO Q o a B C D R E. 2.

1. 4. reason: ON bisects reason: C is the midpoint of BD. answer: answer: PO Q o a B C D R E. 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 A A 23% 4:39 AM B. Paragraph Proof A Example 3 Given: LCDB LABD; LCBD LADB Prove: ADCB ABAD B Proof: Since the given states that ZCDB LABD and 2CBD LADB; and DB = BD by Reflexive Property of Congruence, therefore ADCB ABAD by ASA Congruence Postulate. Example 4 Given: AHOT and A MET; T is a midpoint of HM; 20 and LE are right angles T. E Prove: ΔΗΟΤ ΔΜΕΤ Proof: M Statements Reasons 1. ΔΗΟΤ αnd ΔΜΕΤ; T is a midpoint of HM; 20 and LE are right angles 2. 20 LE (A) 3. LHTOandzMTE are vertical angles 4. ZHTO LMTE (A) 5. HT MT (S) 6. . ΔΗΟΤ ΔΜEΤ 1. Given 2. All right angles are congruent 3. Definition of angle bisector 4. Definition of midpoint 5. Definition of midpoint 6. AAS Congruence Theorem Let's Practice! Activity 1: Write corresponding congruent parts of two triangles using the given reason. 1. reason: ON bisects PQ. reason: C is the midpoint of BD. answer: answer: B PO Q C 2. F R 5. reason: EH intersects GF at I. answer: 3. reason: MK bisects 2JML reason: SU is the perpendicular bisector of RT. K. answer: answer: M. ANALIZA A. REYES MATH 8 QUARTER 3 WEEK 6 Page S|9
Transcribed Image Text:1 A A 23% 4:39 AM B. Paragraph Proof A Example 3 Given: LCDB LABD; LCBD LADB Prove: ADCB ABAD B Proof: Since the given states that ZCDB LABD and 2CBD LADB; and DB = BD by Reflexive Property of Congruence, therefore ADCB ABAD by ASA Congruence Postulate. Example 4 Given: AHOT and A MET; T is a midpoint of HM; 20 and LE are right angles T. E Prove: ΔΗΟΤ ΔΜΕΤ Proof: M Statements Reasons 1. ΔΗΟΤ αnd ΔΜΕΤ; T is a midpoint of HM; 20 and LE are right angles 2. 20 LE (A) 3. LHTOandzMTE are vertical angles 4. ZHTO LMTE (A) 5. HT MT (S) 6. . ΔΗΟΤ ΔΜEΤ 1. Given 2. All right angles are congruent 3. Definition of angle bisector 4. Definition of midpoint 5. Definition of midpoint 6. AAS Congruence Theorem Let's Practice! Activity 1: Write corresponding congruent parts of two triangles using the given reason. 1. reason: ON bisects PQ. reason: C is the midpoint of BD. answer: answer: B PO Q C 2. F R 5. reason: EH intersects GF at I. answer: 3. reason: MK bisects 2JML reason: SU is the perpendicular bisector of RT. K. answer: answer: M. ANALIZA A. REYES MATH 8 QUARTER 3 WEEK 6 Page S|9
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