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FINAL EXAMINATION INFO SHEET
Algebra I/Geometry Honors(5150)
Final Examination: 6/15/11
You may use a calculator for all parts of the exam – be sure to bring yours
as they cannot be shared. You might even want to replace your batteries
or at the very least have 4 AAAs in your backpack You must bring at
least two #2 pencils with erasers. Your final examination will consist of two
parts. Part 1 is comprised of 35 multiple choice questions, each worth 2
points. Answers will be marked on a scantron sheet – no partial credit will
be granted in this section. These 35 questions will broadly cover all topics
covered in geometry in Chapters 1 – 6. Part 2 is a “free response” section
similar to quizzes/tests given this semester. This section consists of 7
questions. You are to do any 6 out of the 7. Each question is worth 5
points. Be sure to show all steps taken as partial credit may be granted.
BOOKS ARE TO BE SUBMITTED to me in room 204 prior to the exam.
Place your text in the area designated for your class in the rear of the room.
Be sure to remove loose papers and book cover.
OPPORTUNITIES FOR EXTRA HELP   To be announced.
PREPARE WELL!!
Concepts to Have Mastered to Excel on Final Exam
Angle Facts:
A set of adjacent angles whose noncommon sides are opposite
rays and thus form a straight line has a sum of 180 degrees.
Vertical angles are two non-adjacent angles formed by two intersecting lines; vertical angles are congruent.
A Linear Pair is a set of two adjacent angles formed by two intersecting lines; these angles are supplementary.
Complementary angles are two angles whose sum is 90 degrees. They do not have to be adjacent.
Supplementary angles are two angles whose sum is 180 degrees. They do not have to be adjacent.
Properties of Equality: Review pages 105 and 107
Slope - Be able to determine the slope of a line or line segment given coordinates of two points on line/line segment using
y 2  y1
x 2  x1
Remember parallel lines have the same slope and perpendicular
lines have slopes that are negative reciprocals on one another.
m
Distance Formula – used to calculate the measure of a line segment; appropriate when coordinates of two points are supplied
d   x 2  x 1    y 2  y1 
Your answers are to be presented in simplest
here.
2
2
form. No decimals
Mid-Point Formula: used to determine the mid-point of a line segment
 x  x 2   y1  y 2 
drawn on a coordinate plane.  1
, 

 2  2 
Special Angle Pairs formed when a pair of parallel lines are intersected by a
transversal: alternate interior, alternate exterior, consecutive interior,
corresponding; review pages 154-155. Be able to recognize the different types and determine their measurements when given only 1 of
the 8 angles formed when a pair of parallel lines are cut by a transversal.
Know Polygon Classifications (based on # of sides) – Review p. 43.
A regular polygon is both equilateral and equiangular.
Perimeter, Circumference, and Area Calculations: You must know and
be able to use all of the following formulas and present your results
labeled with the appropriate units.
Area of a Rectangle:
Perimeter of a Rectangle (several forms):
P  2l  2 w
A  lw
or
P  2( l  w )
Area of a Triangle:
Perimeter of a Triangle:
1
A  bh
2
Area of a Circle:
A   r2
P  s1  s2  s3
Circumference of a Circle:
C  2 r or C   d
Be able to give exact (“=”) and approximate (“  ”) answers.
Exact answers keep
as
; approximate answers allow you to use
your calculator’s
button and present a decimal rounded to the
tenths.



Exterior Angle Theorem: The measure of an exterior angle of a triangle
is equal to the sum of the measures of the two remote interior angles.
Angle Sum Theorem: The sum of the measures of the angles of a triangle
is 180 degrees.
Triangle Congruence Facts: SSS, SAS, ASA, AAS; and CPCTC
Be able to execute a triangle congruency proof and to
bring “CPCTC” into play after proving triangle congruency.
Triangle Classification by Sides: Scalene, Isosceles, Equilateral
Triangle Classification by Angles: Acute, Right, Obtuse, Equiangular
ISOSCELES TRIANGLE FACTS: Know terminology – legs, base, base
angles, vertex angle
Definition of: a triangle with at least two congruent sides
Isosceles Triangle Theorem: If two sides of a triangle are congruent,
then the angles opposite these sides are congruent.
Triangle SEGMENTS: median, altitude, angle bisector, midsegment
Recognize the relationship between the length of a triangle’s side and the
size of the angle that lies directly opposite it. The longest side lies
opposite the largest angle, the shortest side lies opposite the smallest angle.
Be able to list the angles or sides of a triangle in order from least to greatest.
Triangle Inequality Theorem: The sum of the lengths of any two sides of a
triangle is greater than the length of the third side.
When given 3 possible side lengths, be able to determine if it is possible to
construct a triangle with the given side lengths. Make sure that the
sum of the two shortest sides is greater than the length of the longest
side.
When given 2 sides of a triangle, be able to determine the range of possible
lengths for the third side. The lower limit for this range is the absolute value of the difference of the 2 known sides; the upper limit for
this range is the sum of the 2 known sides. For example, if the two
sides of a triangle have lengths of 2 and 5, the length of the third side
would fall between 3 and 7.
Know how to solve proportions using the Law of Cross-Products:
a c
If
 , then ad  bc .
b d
Be able to calculate the geometric mean of two numbers by designing a
proportion (refer to p.359).
Understand fully the meaning of a polygon similarity statement, for example, ABCD EFGH (refer to p.372).
Determine the scale factor of similar polygons.
If two polygons are similar, the following have the same ratio as the scale
factor of the similar polygons:
 corresponding sides
 perimeters
 altitudes
 medians
Review Inequalities for Sides and Angles of a Triangle (p.328) and Triangle
Inequality Theorem (p.330)
You must be well-grounded in your algebra – be sure to
review factoring & its use for solving quadratic equations.
BE SURE TO REVIEW ALL QUIZZES AND TESTS
TAKEN THIS SEMESTER!!
Suggestions for additional practice
Remember: answers to odd-numbered problems are located in the back of
your text – it’s easier to access these in your hard copy text. See me to
check your answers to even-numbered problems.
CHAPTER 1:
 p.12, #7 – 19 (odds only)
 p. 20, #35, 37, 43, 45 ( #43 and #45 will provide practice for
you to use the distance formula
 p.28 – 30, #3, 5, 22 – 25, 29, 41
 p. 39, #9 – 27 (odds only)
 p. 45, #8 – 13
 p. 52-53, #4 – 8, 11, 13, 27, 28
CHAPTER 2:
 p. 75, #3 – 11
 p. 83, #7 – 13 ( Omit writing inverse and contrapositive statements)
 Reread postulates on p.96
 p. 100, #14 – 23
 p. 108, #3 and 4; Review Reflexive and Symmetric
Properties – write a statement demonstrating both
 p. 137, #22 and 23
CHAPTER 3:
 p. 150, #11 – 14, 18 – 23
 p. 152, #47 – 49
 p. 157, #17 – 19
 p. 160, #5 – 7
 p. 175, #3 – 6, 13, 15, 19, 21
 p. 178, #1 – 6
 p. 184, #3, 4, 10 – 15, 17, 23, 37, 39, 41, 49, 51
CHAPTER 4:
 p.220, #3 – 5
 p.221, #1 – 6, 17 – 19
 p.228 – 229, #5 – 10, 11
 p.252 – 253, #3 – 5, 7 – 10
 p.255, #41, 43
 p.263, #1, 3
 p.267, #1, 7 – 13, 15 – 17
 Proof Practice: p.263, #4, 5; p.259, #10,11
CHAPTER 5:
 p.298, #3 – 5
 p.301, #50, 51
 p.306, #3 – 5
 p.323, #17 – 20, 22
 p.331 – 332, #6 – 12, 16 – 19, 21 – 24
CHAPTER 6:
 p.357, #3, 4
 p.359, #9 – 11
 p. 361, #43
 p.372 – 374, #1 – 6
 p.376, #8 – 11
 p.419-420, #11, 14