# Pre-IB Semester 1 Final Exam Review Sheet 10-11-take 2

Electronics - Devices

Oct 10, 2013 (4 years and 9 months ago)

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Final

Exam
Information & Review

Problems

Pre
-
IB
Geometry
2010
-
2011

Important Information

The final exam will cover Chapters 1

13. (Chapter 14 will be covered separately after the final).

The surface area & volume
formulas from page 593 of your book will
be available to you during
the final. You will NOT get your own note card.

The list of theorems below will be available to you during the final

for use in writing proofs
. You
are expected to know what these theorems say

and when to use them as justificat
ions in proofs.

Appendix A of your book lists the theorems and the section in which they are explained.

List of Theorems

Linear Pair Theorem

Vertical Angles Theorem

Parallel Lines and Slopes Theorem

Perpendicular Lines and Slopes Theorem

Corresponding Ang
les Postulate (CAP)

Figure Reflection Theorem

CPCF Theorem (CPCFT)

ABCD Theorem

Alternate Interior Angles Theorem

(AIA)

Isosceles Triangle Base Angles Theorem (ITBAT)

Trapezoid Angle Theorem

SSS, SAS, ASA, AAS, HL Triangle Congruence Theorems

Properties of

a Parallelogram Theorem

Fundamental Theorem of Similarity

SSS, AA, SAS Similarity Theorems

Review Problems

These problems are from the
Chapter Review

of each chapter (NOT the Progress Self
-
T
est
).
Check answers in the back as you go.
Review problems wil
l be collected for a
25
-
point
the day of the final.

Chapter 1
: Sections 1.2, 1.3, 1.6, 1.7, 1.8, Problems
13
-
17, 19, 35, 37, 39

Undefined terms (point, line, plane)

Difference between a definition, a postulate, and a theorem and how they fit toge
ther to
form geometry

Difference between
,
,
, and

The triangle inequality

Calculating distance

Chapter 2
:

Sections 2.1
-
2.7
, Problems
1
-
9 odd, 13,

19, 21, 33, 35, 39, 41

Conditional (If
-
Then) Statements

Converses of Conditional Statements

Unions and intersections of figures (including

notation)

Names of common polygons

Convexity

Chapter 3
:

3.1, 3.3
-
3.8,
Problems
1, 9, 11,

17, 23, 35, 53, 55, 59, 61

Definition of, types of, and how to name angles

Definitions of complementary, supplementary, and vertical angles and linear pairs

Linear Pair and Vertical Angle Theorems

Transitive and Reflexive Properties

Parallel lines and ang
les (corresponding, vertical, alternate interior, alternate exterior)

Theorems and postulates related to parallel lines
, transversals, and perpendicular lines

Chapter 4
:

Sections 4.1, 4.2, 4.4
-
4.7, Problems
5, 7, 11, 17, 19, 23, 30,
31, 41, 42, 51, 53

Def
inition of reflection and how to reflect a figure

Composing reflections, creating rotations and translations from reflections

Definition of isomet
r
ies and how to perform an isometry on a figure (translation,
reflection, rotation, glide reflection)

Magnitud
e and direction of rotations and translations

Properties of isometr
ies

Chapter 5
:

All Sections, Problems 1, 5, 7, 19, 21, 25, 27, 33, 35, 37

Definition of congruence

Using transitive property and definition of reflection as justifications for proofs

Playfa
ir’s Parallel Postulate

Triangle Angle Sum Theorem, Polygon Angle Sum Theorem

Perpendicular Bisector Theorem

Chapter 6
:

Sections
6.1
-
6.7
, Problems
1, 5,
15
, 17, 27, 29, 41, 43, 45, 46

Definition of symmetry, properties of symmetric figures

Identifying ref
lection and rotation symmetries, lines of reflection and angles of rotation

Isosceles triangle properties and related theorems

Properties of kites and trapezoids

Propertie
s of regular polygons

Chapter 7
:

Sections 7.2
-
7
.9
,

Problems
1
-
4, 9, 13, 15, 17, 21, 23, 29, 31, 33, 43

Triangle congruence theore
ms (SSS, SAS, ASA, AAS, HL)

Triangle congruence proofs

(including overlapping triangles)

Definition of tessellation and whether

a polygon can tessellate the plane

Properties of Parallelograms

Exterior angle formulas and inequalities

Chapter 8
:

All Sections, Problems
3, 5, 7,
14, 15, 17,
23, 27, 29, 33, 37, 41, 43

Perimeter formulas (polygon, circle)

Area formulas (square, rectan
gle, triangle, trapezoid, parallelogram, circle)

The Pythagorean Theorem and its converse

Arc length, areas of sectors

Chapter
9
:

Sections 9.1

9.8
,

Problems 17, 19, 21, 23

Types and definitions of three dimensional figures (prisms, cylinders, pyramids, c
ones,
spheres
)

Plane sections, views and nets of 3
-
D surfaces

Regular polyhedra

Chapter 10
:

All Sections, Problems 1, 3, 5, 9, 21, 39

Surface and Lateral area formulas (right prisms and cylinders, right cones and pyramids,
spheres)

Volume formulas (
same f
igures as surface area
)

Volumes and surface areas of figures that are combinations of the above figures

Finding volume from surface area and vice versa

Cavalieri’s Principle

Chapter 11
:

Sections 11.1, 11.2, 11.4
-
11.6, 11.8, Problems 1, 3, 17, 21, 23, 25, 3
1, 35, 39

Negations

How to make the converse, inverse, and contrapositive of a statement

Applying the Laws of Detachment, Contrapositives, Transitivity

Proof by contradiction and indirect proofs

Proofs using coordinate geometry (especially parallel/perpend
icular with slopes)

Distance formula, midpoint formula

Midpoint connector theorem

Chapter 1
2
:

Sections 12.1, 12.2, 12.3, 12.4, 12.5, 12.6 Problems 1, 5, 9, 10, 12, 14, 17, 18, 19, 20,
22,
23,
26

Size
-
transformations images of figures

Using proportions to f
ind missing parts in similar figures

Apply properties of size
-
transformations

Use the Fundamental Theorem of Similarity to find perimeters, areas and volumes in
figures

Apply the Fundamental Theorem of Similarity to real life situations

Chapter 13
:
Sectio
ns 13.1, 13.2, 13.3, 13.5, 13.6, 13.7, Problems
15, 21, 31
, 41, 49

Apply the SSS, AA, and SAS Similarity Theorems

Apply the Side
-
Splitting Theorem

Find missing side lengths with Special Right Triangles (45
-
45
-
90 and 30
-
60
-
90)

Find missing sides or angles w
ith tangent, sine or cosine ratios and their inverses

NOTE: The above review problems for Chapter 13 REPLACE assignment 82 on the
assignment sheet.