name that reason
DESCRIPTION
Name that Reason. 1. ∠1 and ∠2 are supp ∠1 + ∠2 = 180. Definition of supplementary. 2. ∠1 = ∠2 ∠1 ≅ ∠2. Definition of ≅. 3. AB = CD AB ≅ CD. Definition of ≅. 4. ∠1 and ∠2 are comp. ∠1 + ∠2 = 90. Definition of complementary. 5. ∠ABC is a right ∠ ∠ABC = 90 º. Definition of - PowerPoint PPT PresentationTRANSCRIPT
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Namethat
Reason
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Definition SegmentPostulates
/Theorems
AnglePostulates /Theorems
Wildcard
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1.∠1 and ∠2 are supp ∠1 + ∠2 = 180
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Definition of supplementary
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2.
∠1 = ∠2 ∠1 ≅ ∠2
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Definition of ≅
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3.AB = CDAB ≅ CD
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Definition of ≅
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4.∠1 and ∠2 are comp. ∠1 + ∠2 = 90
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Definition of complementary
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5. ∠ABC is a right ∠ ∠ABC = 90º
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Definition of right angle.
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6.AB + BC = ACAC = AB + BC
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Symmetric
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7.XY + YZ = XZ
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Segment Addition
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8.MN = MN
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Reflexive
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9.DE = GHIJ = KLDE + IJ = GH + KL
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Addition
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10.B is midpt of XZXB = BZ
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MidPt Theorem
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11.∠1 + ∠2 = ∠ABC
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∠ Add
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12.∠1 is right ∠∠2 is right ∠ ∠1 = ∠2
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All right ∠are =
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13.∠1 & ∠2 are supp ∠1 & ∠3 are supp ∠2 = ∠3
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∠ supp to same ∠
are ≅
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14.∠ 1 ≅ ∠ 2
1 2
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Vertical ∠ are ≃
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15.∠ 1 & ∠ 3 are linear ∠ 1 & ∠ 3 are supp
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Linear pairs of angles are
supplementary
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16.∠ 1 = ∠4 ∠ 1 + ∠ 2 = ∠ 3 + ∠4 ∠ 1 + ∠ 2 = ∠ 3 + ∠1
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Substitution
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17.∠ 1 + ∠ 2 = 180 ∠ 3 + ∠ 4 = 180 ∠ 1 + ∠ 2 = ∠ 3 + ∠ 4
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Substitution
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18.∠ 1 + ∠ 2 = ∠ 2 + ∠ 3 ∠ 1 = ∠ 3
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Subtraction
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19.∠ 1 & ∠ 2 are comp ∠ 1 & ∠ 3 are comp ∠ 2 = ∠ 3
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∠ comp to the same ∠ are ≅
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20.∠ 1 = ∠ 2 ∠ 3 = ∠ 4 ∠ 1 + ∠ 3 = ∠ 2 + ∠ 4
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Addition
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Final Jeopardy
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Name that Reason
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AB ⊥ XY at M∠AMX is right ∠ ∠XMB is right ∠ ∠BMY is right ∠ ∠YMA is right ∠
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Perpendicular lines
form right angles.