Algebra 1 Midterm Exam Topics

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2013-2014
Geometry L1 Final Exam Topics
 Below are a list of topics and concepts you should be familiar with. Your exam will touch on content
from the first semester (ch. 1-5) and cover mostly content from the second semester (ch. 6-10).
Study Tips:
1) Study all note sheets
2) Complete the Final Exam review packet.
3) Look over old test/quizzes (re-due questions that were wrong)
4) Complete “Extra Review” problems in the back of the book, starting at pg. 896
5) Complete online review
6) Go to Preparing with Peers.
Go to http://www.classzone.com/cz/books/geometry_2007_na/book_home.htm?state=CT
(Classzone.com) and select state and book. Then go to e-workbook and go to selected sections for review.
There are 15 examples for each section. It’s interactive and will also give you the correct answers.
Vocabulary
Any geometry terms covered in chapters 1-10
**You should be familiar with chapters 1-5**
Chapter 1 – Points, Lines, Planes & Angles
1) What does equidistant mean?
2) Definitions of point, line, plane, ray and segment
3) What does collinear, coplanar and intersection mean?
Chapter 2 – Deductive Reasoning
1)
2)
3)
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5)
Identify hypothesis and conclusion of an if-then statement,state its converse
Use a counterexample to prove a statement false,write a biconditional stateme
Properties of algebra (equality and congruence)
Complementary and supplementary angles, vertical angles, linear pair and adjacent angles
Perpendicular lines
Chapter 3 – Parallel Lines and Planes
1)
2)
3)
4)
5)
Distinguish between parallel lines, skew lines, and intersecting lines
Identify angles formed and the relationships between angles when two lines are cut by a transversal
Angles of a triangle – What is the interior sum?
Polygons (classify, i.e. by sides, angles, convex or concave, equilateral, equiangular, or regular)
Find the measure of interior angles and exterior angles of convex polygons
Chapter 4 – Congruent Triangles
1)
2)
3)
4)
What does CPCTC stand for?
Ways to prove triangles congruent (SSS, ASA, SAS, AAS, & HL)
Isosceles triangle theorem and its converse
Prove two triangles are congruent
2013-2014
5) Definition of median, altitude, and perpendicular bisector.
Chapter 5 – Inequalities
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Be familiar with the properties of inequality
Be able to identify and write a converse, inverse, and contrapositive of a conditional.statement
Be familiar with inequality theorems for one triangle and inequality theorems for two triangles.
Name the longest or shortest side of a triangle
**You should emphasize your time studying the content below**
Chapter 8 – Quadrilaterals
1)
2)
3)
4)
5)
Properties of parallelograms
Prove certain quadrilaterals are parallelograms
Properties of special parallegrams
Properties of trapezoid and isosceles trapezoid
What is the median of a trapezoid? How do you find its length?
Chapter 6 – Similar Polygons
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Solve for an unknown term in a given proportion.
Properties of similar polygons
How do you prove/show triangles to be similar (AA, SAS, SSS)
What and how can you deduce information about segments and angles in similar triangles?
Chapter 7 – Right Triangles
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Simplifying radical expressions
Similarity in right triangles
The Pythagorean Theorem and its Converse
Special right triangle pattern – 30-60-90 and 45-45-90
SOHCAHTOA – sine, cosine, tangent, when do you use them?
Applications of right triangles
Chapter 12- Surface Area and Volume of Solids
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What are polyhedrons/other solids?
Surface area of prisms, cylinders, pyramids, cones and spheres.
Volume of prisms, cylinders, pyramids, cones and spheres.
Similar Solids (use a scale factor to find volume and surface area)
Chapter 10 – Circles
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Parts of a circle – radii, diameter, chord, secant, tangent, point of tangency
Tangent , arcs and central angle and arcs and chords relationships
What is an inscribed angle? How are inscribed angle measures and arc measures related?
How are angles formed by intersecting chords related to arc measures?
Relationship between exterior angles formed by 2 secants, 2 tangents or a secant and a tangent?
Segment relationships – intersecting chords, secants, tangents, etc…
Writing equation of a circle, graphing a circle in a coordinate plane.
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