Warm Up Real World Solid Figures List up to 5 objects found in the real world that have shapes of...
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Transcript of Warm Up Real World Solid Figures List up to 5 objects found in the real world that have shapes of...
Warm Up
Real World Solid Figures
List up to 5 objects found in the real world that have
shapes of each of the following solid figures:
• Prism• Cube• Pyramid• Cylinder• Cone• Sphere
The distance between any two points is the absolute value of the difference of the
coordinates. If the coordinates of points A and B are a and b, then the distance between A and B is ⎜a - b⎟ or ⎜b - a⎟ . The distance between A and B
is also called the length of AB, or AB.
A ruler can be used to measure the distance betweentwo points. A point corresponds to one andonly one number on the ruler. This number
is called a coordinate .
Postulate 1-2-1: The points on a line can be putinto a one-to-one correspondence
with the real numbers.
Example: A Ba b
So, AB= a-b = b-a
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
Notes
Shapes
Notes
A
B
C
D
FG
H
ClassworkWrite down every congruency statement.
A
B
C
D
FG
H
NotesMidpoint: The point on a segment that’s the same distance from both endpoints.
3
B CD
3D is the midpoint of BC
F
D
HH is the midpoint of FD
D
E
A A is the midpoint of DE
Notes - Midpoint FormulaHow do we find the exact center of a line segment?
(7,8)
(3,2)
(7,8)
(3,2)
x1 x22
,y1 y22
7 32,8 22
10
2,10
2
(5,5)
5,5
Notes - Midpoint FormulaLet’s make it work for us.
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
(-9,2)
(7,-6)
x1 x22
,y1 y22
9 72
,2 62
22, 42
(-1,-2)
-1,-2
Notes - Midpoint FormulaOne more time.
Homework:
p.17 #1-10
p.19 #36-39,42-44