NOTES: The Language of Geometry and LOGIC
1. Statement: A declarative sentence which is either True or False, but
never both. Whether it is True or False is referred to as its truth value.
We use letters such as p and q to represent simple statements.
2.
Worksheet 4: Laws of Logic
Use the Law of Detachment to draw a conclusion.
1. If a student gets an A on a final exam, then the student will pass the course.
The student gets an A on the final exam.
2. If a student wants to go to college, then the student
a l t er n a t e ex t er i o r a n g l es
v er t i c a l a n g l es
A l t er n a t e i n t er i o r , m 1 = m 2
A l t er n a t e i n t er i o r
46 = x
A l t er n a t e ex t er i o r
2x+ 19 = x+ 23
-x
-x
x+ 19 = 23
-1 9 -1 9
x= 4
68
x
C o r r es p o n d i
Kuta Software - Infinite Geometry
Name_
All Transformations
Date_ Period_
Graph the image of the figure using the transformation given.
1) rotation 90 counterclockwise about the
origin
2) translation: 4 units right and 1 unit down
y
y
F
G
Y
Z
x
x
J
L
3) t
Kuta Software - Infinite Geometry
Name_
Parallel Lines and Transversals
Date_ Period_
Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
1)
2)
y
y
x
x
3)
4)
y
y
x
x
5)
6)
y
y
x
x
7)
8)
y
x
x
y
e