Geometry
Ms. Brinkman
3.3 & 3.4 Properties of Algebra and Angles
Skills to Acquire
 Recognize different angles and their measures.
 Identify properties of complimentary and supplementary angles.
 Recognize and use the postulates of equality and inequality.
Review Problem:
 Zero Angle: angle = 0°
 Acute Angle: angle is 0 < x < 90°
 Right Angle: angle = 90°
 Obtuse Angle: angle is 90° < x < 180°
 Straight Angle: angle = 180°
 Complementary Angles: Angles that add up to 90°
 Supplementary Angles: Angles that add up to 180°
 An Angles Compliment: 90° - x
 An Angles Supplement: 180° - x
Adjacent Angles: Angles that are right next to each other
E
A
B
C
F
 Linear Pair:
c
a
G
b
d
D
1. What is a linear Pair? A linear pair are two angles that add up to 180°
2. What is the Compliment of an angle we do not know? 90° - x
3. What is the Supplement of an angle we do not know? 180° - x
4. Draw two lines that intersect each other below.
1
2
3
4
5. Name the four angles formed as angles 1, 2, 3, & 4 in a clockwise direction.
6. Angles 1 & 3 are vertical angles and angles 2 & 4 are vertical angles.
7. What pairs of angles form a linear pair? 1 and 2 & 2 and 3
& 3 and 4
& 1 and 4
8. What pairs of angles are supplementary? 1 and 2 & 2 and 3
& 3 and 4
& 1 and 4
9. What pairs of angles are complementary? NONE!
Algebra Properties Used in Geometry
Reflexive Property of Equality:
Symmetric Property of Equality:
Transitive Property of Equality:
Addition Property of Equality:
Multiplication Property of Equality:
Transitive Property of Inequality:
Addition Property of Inequality:
Multiplication Property of Inequality:
Equation to Inequality Property:
Substitution Property: