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