Module 1 Lesson 23 - ASA, AAS.notebookmsaddmath.weebly.com/uploads/8/6/7/9/86792872/... · Module 1...
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Module 1 Lesson 23 ASA, AAS.notebook
1
October 27, 2016
Oct 269:06 AM
Lesson 23 ASA and AAS
#6, 7, 9HW
Do Now:Proof on front page
Quiz Wednesday
Oct 148:36 AM
1. Given
2. An angle bisector divides an angle into 2 congruent parts
3. Reflexive Property
4. SAS≅SAS
1. AE bisects <BCD, BC≅DC
2. <BCA≅<ACD
3. AC≅AC
4. ΔABC ≅ ΔADC
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:35 AM
1. Given1. JM≅KL, JM l ML, LM l ML
2. <JML and <KLM are both right angles
2. Perpendicular lines form right angles
3. <JML≅<KLM 3. All right angles are congruent
4. ML≅ML 4. Reflexive Property
5. ΔJML≅ΔKLM 5. SAS≅SAS
Translation then Reflection
Oct 148:35 AM
1. Given1. <1 <2, BC DC
2. Reflexive Property2. AC AC
3. ΔABC ΔADC 3. SAS SAS
Reflection
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:35 AM
1. Given1. KM and JN bisect each other
2. KL LM, JL LN 2. A bisector divides a segment into two congruent parts
3. <KLJ <NLM 3. Vertical angles are congruent
4. ΔJKL ΔNML 4. SAS SAS
Rotation
Oct 148:35 AM
1. Given
3. SAS SAS
1. ΔRST is isosceles with RS RT, SY TZ
2. <RST <RTS 2. In a triangle, angles opposite congruent sides are congruent
3. ΔRSY ΔRTZ
Reflection
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:37 AM
Oct 148:37 AM
1. Given1. M is the midpoint of HP, <H≅<P
2. A midpoint divides a segment into 2 congruent parts2. HM≅MP
3. <HMG ≅ <RMP 3. Vertical angles are congruent
4. ΔGHM≅ΔRPM 4. SAS ≅ SAS
Reflection
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:37 AM
1. Given1. <J≅<M, JA≅MB, JK≅ML
2. KL ≅ KL 2. Reflexive Property
3. JK + KL ≅ KL + ML 3. Addition Postulate
4. ΔAJL≅ΔBMK 4. SAS ≅ SAS
Oct 148:37 AM
2. Linear Pairs form supplementary angles
3. Substitution Property
7. Reflexive Property
5. Perpendicular lines form right angles
6. All right angles are congruent
8. AAS ≅ AAS
2. <1 + <CDB = 180 <2 + <BDA = 180
3. <1 + <CDB = <2 + <BDA
5. <BCD and <BAD are right angles
6. <BCD ≅ <BAD
7. BD ≅ BD
8. ΔBCD≅ΔBAD
4. <CDB ≅ <BDA4. Subtraction Postulate
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:37 AM
1. <A≅<D, AE≅DE 1. Given
2. <AEB≅<DEC 2. vertical angles are congruent
3. Δ AEB ≅ ΔDEC 3. AAS≅AAS
Reflection
Oct 148:38 AM
1. AB l BC, DE l EF 1. Given
2. <B, <E are right angles 2. Perpendicular lines form right angles
3. <B ≅ <E 3. All right angles are congruent
4. <EFC ≅ <BCF 4. If two parallel lines are cut by a transversal then
alternate interior angles are congruent
5. FC ≅ FC 5. Reflexive Property
6. AC ≅ FD 6. Addition Property
7. ΔABC ≅ ΔDEF 7. AAS≅ AAS
Rotation, Translation
BC || EF, EF≅DC
Module 1 Lesson 23 ASA, AAS.notebook
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October 27, 2016
Oct 148:38 AM
AC ≅ CB, D is the midpoint of ABGiven
AD≅ DB A midpoint divides a segment into two congruent parts
<A ≅ <B In a triangle, angles opposite congruent sides are congruent
ΔACD ≅ ΔBCD SAS ≅ SAS
Reflection
Oct 148:38 AM
DF
1. Given1. AC and DF bisect each other at E and AD≅CF
2. A bisector divides a segment into two congruent parts2. AE≅EC, DE≅EF
3. SSS≅SSS3. ΔADE≅ΔCFE