Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No...
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Transcript of Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No...
![Page 1: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/1.jpg)
Geometry NotesWeek 1
![Page 2: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/2.jpg)
Point: It has location and nothing else. No size. No height. No depth. No friends.
Line:A straight, unbroken set of points that goes on forever. It has infinite length but no thickness.
A
B
AB BA
A
Plane: A surface with length and width but no thickness.
Notes –Vocabulary DAY1
![Page 3: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/3.jpg)
AB BA
Line Segment: A line that has two endpoints.
AB
Ray: A line with ONE endpoint.
YB
A AB AY
Notes Vocabulary
Coplanar: On the same plane
Collinear: On the same lineF Z P
![Page 4: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/4.jpg)
AB AC
A B A C
Ex:
A
B
C
2
2
1
What we CAN write:
AB AC
A B A C
What we CAN’T write:
AC BC
Equal=
NumbersAB
Congruent
AB
AB 2
A B 2
Shapes
DAY 2 - Congruency
![Page 5: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/5.jpg)
A
B
C
D
FG
H
What do the markings indicate?What type of triangle has been formed?What are two statements of congruency that you can write from the quadrilateral?
![Page 6: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/6.jpg)
Notes - Basic Angles
What We Can Write
EFD
DFE
F
Vertex: The common endpoint of the two rays of an angle.
D
F
E
1
1
![Page 7: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/7.jpg)
What We Can’t Write
F
What We Can Write
CFE
EFC
EFD
DFE
1
2
D
F
E
C
1
2
CFD
DFC
Notes - Basic Angles
![Page 8: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/8.jpg)
D
F
E
2. Notes - Basic Angles
![Page 9: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/9.jpg)
D
F
E
2. Notes - Basic Angles
![Page 10: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/10.jpg)
Angle Bisector: A ray that extends from the vertex of an angle and divides it into two congruent angles.
A
B
C
28°14°
14°
D
What We Can Write
AD is the angle bisector of BAC.
BAD DAC
![Page 11: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/11.jpg)
Midpoint: The point on a segment that’s the same distance from both endpoints.
3
B CD
3D is the midpoint of BC
F
D
H
H is the midpoint of FD
D
E
A A is the midpoint of DE
DAY 3 - Midpoint
![Page 12: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/12.jpg)
Midpoint Formula - How do we find the exact center of a line segment?
(7,8)
(3,2)
![Page 13: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/13.jpg)
2. Notes - Midpoint FormulaHow do we find the exact center of a line segment?
x1 x22
,y1 y22
Conjecture 1: Midpoint Conjecture
If your points are and then your midpoint is:
x1,y1
x2,y2
![Page 14: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/14.jpg)
(7,8)
(3,2)
x1 x22
,y1 y22
7 32,8 22
10
2,10
2
(5,5)
5,5
2. Notes - Midpoint FormulaLet’s make it work for us.
![Page 15: Geometry Notes Week 1. Point:It has location and nothing else. No size. No height. No depth. No friends. Line:A straight, unbroken set of points that.](https://reader035.fdocuments.us/reader035/viewer/2022062305/5697c01f1a28abf838cd1dd2/html5/thumbnails/15.jpg)
(-9,2)
(7,-6)
x1 x22
,y1 y22
9 72
,2 62
22, 42
(-1,-2)
-1,-2
2. Notes - Midpoint FormulaOne more time.