1. Geometry Angles Parallel Lines Triangles Quadrilaterials
Parallelograms
Area
Circles
Volume

2. Types of Angles Classification
Acute: all angles are less than 90°
Obtuse: one angle is greater than 90°
Right: has one angle equal to 90°
Complementary: the sum of two angles is 90°
Supplementary: the sum of two angles is 180°
Adjacent: angles that share a side
Linear Pair: angles that are both supplementary and adjacent

3. Congruent Angle Pairs formed by Parallel Lines
Alternate interior angles
<3 & <6, <4 & < 5
Alternate exterior angles
<1 & <8, <2 & <7
Corresponding angles
<1 & <5, <2 & <6, <3 & <7, <4 & <8
Vertical angles
<1 & <4, <2 & <3, <5 & <8, <6 & <7 1 2 3 4 5 6 7 8

4. Supplementary Angle Pairs formed by Parallel Lines
Angles that are both on the same side of the transversal and either both interior or exterior
<3 & <5, <4 & < 6, <1 & <7, <2 & < 8
Linear Pair
<1 & <2, <2 & <4, <3 & <4, <1 & <3,
<5 & <6, <6 & <8, <7 & <8, <5 & <7 1 2 3 4 5 6 7 8

5. Polygons The sum of the interior angles: (n - 2)(180°)
Classified by number of sides (n)
Triangle (3)
Quadrilateral (4)
Pentagon (5)
Hexagon (6)
Heptagon (7)
Octagon (8)
Nonagon (9)
Decagon (10)
Regular Polygon: all sides are congruent

6. Triangles The sum of the angles in a triangle is 180°
a – b < third side < a + b
The sum of the two remote interior angles is equal to the exterior angles
Types:
Scalene
Isosceles
Equilateral
Right
Two
sides are equal
One
Right angle
All
sides are equal
No sides
are equal

7. QUADRILATERALS TRAPEZOIDS Only one pair of PARALLELOGRAM
Opposite sides parallel
PARALLELOGRAM
Both pairs of opposite
sides are parallel
ROMBUS
4 equal sides
RECTANGLE
4 right angles
ISOSCLES
TRAPEZOID
A trapezoid that has
two equal sides
SQUARE
Both a rhombus
and a rectangle

8. Properties of Parallelograms
Diagonals bisect each other
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals form two congruent triangles
Diagonals are
perpendicular to each other
Diagonals
bisect their angles
Diagonals are
congruent to each other

9. Area
½bh bh lw
½(b1 + b2 ) s2

10. Circles Exact: express in terms of π
Circumference
C = 2πr or C = πd
A = πr2
Exact: express in terms of π
Approximate: use an approximation of π (3.14)

11. Volume General Formula: V = (area of base)(height) πr2h πr2h lwh πr3Bh