Name: ___________________________
Geometry: Final Exam Review Sheet
Chapter 6: Quadrilaterals
Properties of a Parallelogram
Opposite Sides are
Opposite Sides are
Opposite Angles are
@
@
Diagonals bisect each other
Consecutive Angles are Supplementary
Properties of a Rhombus
Opposite Sides are
Opposite Sides are
Opposite Angles are
@
@
Diagonals bisect each other
Consecutive Angles are Supplementary
Diagonals are
^
Diagonals bisect a pair of opposite angles
Equilateral
Properties of a Trapezoid
Exactly one pair of parallel sides
Consecutive interior angels formed by parallel sides are supplementary
Isosceles Trapezoid:
Legs are congruent
Base Angles are congruent
Diagonals are congruent
Properties of a Kite
Consecutive Sides are congruent
Diagonals are perpendicular
Exactly one pair of opposite angles are congruent
Longer Diagonal bisects the shorter diagonal
Longer Diagonal bisects opposite angles
Date: ____________________
Properties of a Rectangle
Opposite Sides are
Opposite Sides are
Opposite Angles are
@
@
Diagonals bisect each other
Consecutive Angles are Supplementary
Equiangular
Diagonals are Congruent
Properties of a Square
Opposite Sides are
Opposite Sides are
Opposite Angles are
@
@
Diagonals bisect each other
Consecutive Angles are Supplementary
Diagonals are
^
Diagonals bisect a pair of opposite angles
Equilateral
Equiangular
Diagonals are Congruent

Angle Measures in Polygons
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n – gon is (n - 2)180°.
The measure of each interior angle of a regular n – gon is
( n
-
2)180 n
Polygon Exterior Angles Theorem
The sum of the measures of the exterior angles of a convex polygon is 360°.
The measure of each exterior angle of a regular n –gon is
360°
. n
Coordinate Geometry
Slopes of parallel lines are the same.
Slopes of perpendicular lines are opposite reciprocals.
Slope-Intercept Form: y = mx + b
Distance Formula:
( x
2
x
)
1
2
+
( y
2
y
)
1
2
Slope Formula: m = y
2 x
2
y
1
x
1

x
Chapter 8 – Right Triangle Trigonometry
Special Right Triangles:
30
°
– 60
°
– 90
°
30
 x
2x
60

x
45
°
45

– 45
° x
– 90
° x
45

SOH-CAH-TOA (right triangles only)
Sin A = opp/hypot = b a
Cos A = adjacent/hypot = c a
Tan A = opp/adjacent = b c c
A
C b a
Law of Sines and Cosines – to find measures in non-right triangles
Law of Sines: sin A
= a sin b
B
= sin C c
Law of Cosines: a 2 = b 2 + c 2 – 2bc cos A b 2 = a 2 + c 2 – 2ac cos B c 2 = a 2 + b 2 – 2ab cos C
B

Chapter 10 – Circles b °
Segments and angles inside the circle: r u a °
Angle formed: t
1
● s m
Ð
1
=
1
2
( a
+ b
)
Segment lengths: r · s = t · u
Segments and angles outside the circle: a °
1 b °
● r
1 b ° s
●
● a °
1
● b °
●
● a °
A Tangent and a secant: m
Ð
XYZ
=
1
2 d
X m
Ð
XYW
=
1
2 c d
 c

Z
Exterior angle formed: m
Ð
1
=
1
2
( a
b
)
Exterior angle formed: m
Ð
1
=
1
2
( a
b
)
Segment lengths: r = s
Y
Exterior angle formed: m
Ð
1
=
1
2
( a
b
)
W

AREA FORMULAS
Triangle:
A = ½ bh
Equilateral Triangle:
A = ¼
Trapezoid: A = ½ (b
3 s 2
1
+ b
2
)h
Kite/Rhombus: A = ½ (d
1
d
2
)
Rectangle:
Square:
Parallelogram:
A = bh
A = s
²
A = bh
1
Regular Polygon: A =
2
Circle:
Pa
A = p r
2 C = 2
 r
SURFACE AREA AND VOLUME FORMULAS
SA = 2B + Ph V = Bh Prism :
Cylinder :
Pyramid :
Cone :
Sphere:
SA = 2
 r 2 + 2
 rh
SA = B + ½ P l
SA = p r
2 + p
r l
SA = 4 π r 2
V = π r 2 h
1
V =
3
Bh
1
V =
3
π r 2 h
4
V = =
3
π r 3