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Advanced Geometry
Final Exam Information
When and Where?
Thurs, May 23rd (8:00 announcements, 8:10 test begins)
How much time?
75 minutes long
How many points?
150 (16.5% of final grade)
Format?
100 Multiple Choice questions worth 1.5 pt each and one page of extra credit
Can I use a calculator?
Yes! Don’t forget one because the math department will not loan out calculators on the day of the exam, and
you may not borrow one from a friend during the test.
Major Topics?
Chpt 6 Planes:
 4 ways to determine a plane
 If a line is perpendicular to a plane, then it is perpendicular to every line in the plane that
passes through its foot
 If a line is perpendicular to two lines in the plane that pass through its foot, then it is
perpendicular to the plane
 If a plane intersects two parallel planes, then the lines of intersection are parallel
Chpt 7 Polygons:  Midline theorem
 Sum of angles in a triangle is 180
 Names of polygon (ex 7 sides is a heptagon)
 Find sum of interior angles of a polygon
 Find number of diagonals in a polygon
 Find measure of an exterior angle of a regular polygon
 No Choice Theorem
 Find sum of exterior angles of a polygon
 Find one exterior angles of a polygon
Chpt 8 Similarity:  1st, 2nd, 3rd, and 4th proportionals
 Geometric mean
 Arithmetic mean
 Know the properties of similar triangles to solve problems
 Angle bisector theorem
 Parallel-Transversal theorem
 Side-Splitter theorem
Chpt 9 Right Triangles:
 Altitude on Hypotenuse Theorems
 Pythagorean Theorem
 30-60-90 and 45-45-90 triangles
 Pythagorean Families (or Triples)
 Sine, Cosine and Tangent
Chpt 10 Circles:
 Be able to solve all angles and arcs in a large circle problem
 Relationship between angles and arcs depending on the placement of the vertex of the angle
(inside, outside, on the center or on the circumference of the circle)
 Tangents, chords, secants, diameters, radii
 Arc length
Chpt 11 Area:
 Be able to find the area of rectangles, squares, trapezoids, triangles, parallelograms, circles,
kites, rhombuses, and hexagons
Chpt 12 Volume:  Be able to find the volume and surface area of prisms, pyramids, cones, cylinders, and
spheres
Formula Cheat Sheet – Semester 2 Final Exam
This will be included with your exam.
Area Formulas
Rectangle = bh
Square = s 2
Square = kite
Parallelogram = bh
Rhombus = parallelogram or kite
1
Triangle = bh
2
1
Trapezoid = h  b1  b2 
Trapezoid = Mh
2
1
Kite = d1d 2
2
s2 3
Equilateral Triangle =
4
1
Regular Polygon = ap
2
Surface Area Formulas
Cone   rl   r 2
Cylinder  2 rh  2 r 2
Sphere  4 r 2
Volume Formulas
Polygons:
Prism  ( Area of Base)h
Si  180  n  2
1
Pyramid  ( Area of Base)h
3
Se  360
Cylinder   r 2 h
d
1
Cone   r 2 h
3
4
Sphere   r 3
3
n  n  3
2