module 1 lesson 20 extra...
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Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 201:03 PM
Lesson 20
Drawing Conclusions
HWQuiz Tomorrow, Study Blue Sheet
Do Now:
Do Now Slip
Oct 239:09 PM
Do Now
2. If parallel lines are cut by a transversal then corresponding angles are congruent
2. <1 ≅ <2
1. CB is parallel to DE 1. Given
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 201:09 PM
1. O is the midpoint of DG
2. A midpoint divides a segment into two congruent parts
1. Given
2. DO ≅ OG
2. a bisector divides an angle into two congruent parts
1. Given
2. <1 ≅ <2
1. YT bisects <XYZ
Oct 201:09 PM
2. a bisector divides an angle into two congruent parts
1. Given
2. <CAB ≅ <BAD
1. AB bisects <CAD
<CAB ≅ <BAD
1. E is the midpoint of SG
2. A midpoint divides a segment into two congruent parts
1. Given
2. SE ≅ EG
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 201:09 PM
2. a bisector divides a segment into two congruent parts
Given
2. AB ≅ BC
1. DE bisects AC at B
AB ≅ BC
Oct 201:09 PM
1. vertical angles are congruent1. <1 ≅ <2
2. a bisector divides a segment into two congruent parts
2. CP ≅ MP
1. JT bisects CM at P 1. Given
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 201:09 PM
2. Perpendicular lines form right angles
3. all right angles are congruent3. <3≅ <4
2. <3 and <4 are right angles
1. Given1. c l d
2. Perpendicular lines form right angles
3. all right angles are congruent3. <B≅ <C
2. <B and <C are right angles
1. Given1. AB l CD, BC l DC
Oct 201:10 PM
2. Perpendicular lines form right angles
3. all right angles are congruent3. <BEA≅ <CEA
2. <BEA and <CEA are right angles
1. Given1. AE l BC
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 201:10 PM
2. Perpendicular lines form right angles
3. all right angles are congruent3. <BCA≅ <DCA
2. <BCA and <DCA are right angles
1. Given1. AE is the perpendicular bisector of BD
4. BC ≅ <DC 4. a bisector divides a segment into two congruent parts
Oct 237:47 PM
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 148:36 AM
2. Linear pairs form supplementary angles
4. Subtraction Postulate4. <ABG≅ <DCE
2. <GBD + <GBA = 180 <ECA + <ECD = 180
1. Given1. <GBD≅ <ECA
3. <GBD+<GBA= <ECA + <ECD
3. Substitution Property of Equality
Oct 148:37 AM
2. Linear pairs form supplementary angles
4. Subtraction Postulate4. <5 ≅ <8
2. <5 + <6 = 180 <7 + <8 = 180
1. Given1. <6≅ <7
3. <5 + <6= <7 + <8 3. Substitution Property of Equality
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 148:37 AM
1. vertical angles are congruent1. <ACB ≅ <DCE
Oct 148:37 AM
2. a bisector divides a segment into two congruent parts
2. CB ≅ CE
1. AD bisects BE 1. Given
2. If parallel lines are cut by a transversal then corresponding angles are congruent
2. <1 ≅ <2
1. CB is parallel to DE 1. Given
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 148:37 AM
2. If alternate interior angles are congruent then parallel lines are cut by a transversal
1. <A ≅ <D
2. AB is parallel to DE
1. Given
Oct 148:37 AM
2. If corresponding angles are congruent then parallel lines are cut by a transversal
1. <1 ≅ <2
2. CB is parallel to DE
1. Given
2. a bisector divides a segment into two congruent parts
2. AE ≅ EC
1. BD and AC bisect each other at E
1. Given
AE ≅ EC
3. DE ≅ EB
DE ≅ EB
3. a bisector divides a segment into two congruent parts
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 148:38 AM
1. B is the midpoint of CD
2. A midpoint divides a segment into two congruent parts
1. Given
2. CB ≅ BD
Oct 148:38 AM
2. If parallel lines are cut by a transversal then alternate exterior angles are congruent
1. <ACB ≅ <FDE
2. AC is parallel to DF 1. Given
1. BD ≅ EC
2. CD ≅ CD
3. BC + CD = BD
4. CD + ED = EC
5. BC + CD ≅ ED + CD
6. BC ≅ ED
1. Given
2. Reflexive Property3. Addition Postulate
4. Addition Postulate5. Substitution Property
6. Subtraction Postulate
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 148:38 AM
2. Perpendicular lines form right angles
3. all right angles are congruent3. <B≅ <E
2. <B and <E are right angles
1. Given1. AB l BE, FE l EB
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2. Linear pairs form supplementary angles
4. Subtraction Postulate4. <ACB≅ <FDE
2. <ACD + <ACB = 180 <FDC + <FDE = 180
1. Given1. <ACD≅ <FDC
3. <ACD+<ACB= <FDC + <FDE
3. Substitution Property of Equality
1. Given
2. In a triangle, angles opposite congruent sides are congruent
1. AC ≅ AE
2. <C ≅ <E
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 1911:54 AM
2. a bisector divides a segment into two congruent parts
2. DE ≅ FE
1. AB bisects DF 1. Given
Oct 201:08 PM
A B
C
D
E
Given: AD l CE
Prove: <ABE is a right angle
Exit Ticket
Module 1 Lesson 20 Extra Practice.notebook
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October 24, 2016
Oct 1911:54 AM
Oct 1911:55 AM