Penyelesaian Masalah Symmetric Travelling Salesman Problem ...
5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.
-
Upload
alicia-marshall -
Category
Documents
-
view
218 -
download
2
Transcript of 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.
![Page 1: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/1.jpg)
5-Minute Check
1
Angle 1, symmetric
AB = TU, Transitive
RS WX
28 Substitution
![Page 2: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/2.jpg)
• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.
• Mastery is 80% or Better on 5-Minute Checks and Indy Work.
![Page 3: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/3.jpg)
![Page 4: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/4.jpg)
The given is the hypothesis of a conditional
The prove is the conclusion of a conditional
Let’s analyze
If m2 = m3 and mAXD = mAXC, then m1 = m4
Now we just need to find “evidence” that this is a true statement and list it.
Written as a conditional statement
Skill Development
![Page 5: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/5.jpg)
Always start a proof by restating the given information
Given is your first reason
What ’s add
together here
Prove is never a reason
Skill Development
![Page 6: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/6.jpg)
Skill Development Your first Theorems
![Page 7: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/7.jpg)
![Page 8: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/8.jpg)
What was the Objective?
• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.
• Mastery is 80% or Better on 5-Minute Checks and Indy Work.
![Page 9: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/9.jpg)
Definition of a segment Ruler Postulate (1-1) Segment Addition Postulate (1-2) Distance Formula Definition of a midpoint Midpoint Formula Definition of an angle Definition of ray Definition of an interior point/angle Definition of an exterior point/angle Protractor Postulate (1-3) Angle Addition Postulate (1-4) Definition of a right angle Definition of an obtuse angle Definition of an acute angle Definition of adjacent angles Definition of vertical angles Definition of a linear pair Definition of supplementary angles Definition of complementary angles
Definition of perpendicular lines Definition of straight angle Definition of an angle bisector Definition of collinear points Definition of coplanar points Definition of congruent segments/angles Two points - Line Postulate (2-1) Three points - Plane Postulate (2-2) Line - Two points Postulate (2-3) Plane - Three points Postulate (2-4) Line in Plane Postulate (2-5) Plane intersection Postulate (2-6) Law of Detachment Law of Syllogism Reflexive Property Symmetric Property Transitive Property Add/Subtract Property Mult/Division Property Substitution Property Distributive Property
A list of reasons that could be used so far (This isn't comprehensive but it is close.... The bolded ones are the more commonly used):
![Page 10: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/10.jpg)
Think…..Ink….Share
symmetric
transitiveSubst.
distributive+ prop of =
reflexive ÷ prop of =
- Prop of =
![Page 11: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/11.jpg)
given
transitive
Def. of midpoint
![Page 12: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/12.jpg)
given
Def of linesDef of a rt + postulateSubst.Subst.
Guided Practice
![Page 13: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/13.jpg)
given
Linear pair ’s are supp.
Def of a linear pair
Subst.
- Prop of =
With a Partner ….Think…Ink…Share
![Page 14: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/14.jpg)
Performance Task-White Boards
List the reasons
only
Given
Reflexive
Segment Add
Segment Add
Substitution
Substitution
![Page 15: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/15.jpg)
Exit Slips
• What 2 steps are easiest is writing a proof?
• What is / are the most challenging step(s)for you?
• What do you need more help with?
![Page 16: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/16.jpg)
What was the Objective?
• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.
• Mastery is 80% or Better on 5-Minute Checks and Indy Work.
![Page 17: 5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.](https://reader036.fdocument.pub/reader036/viewer/2022081516/56649ec05503460f94bcbf2c/html5/thumbnails/17.jpg)
Homework
• Page 116-117• # 1-19 All