Download Geometry Test - cindyleakehfa

o
For the Geometry final exam I will know how to
apply the following:
Geometry Chapter 6
o Is a figure a polygon?
o Identify figure based on # of sides.
o Definitions of:
o Side of the polygon
o vertex of a polygon
o Diagonal of a polygon
o Regular polygon
o Concave/Convex
o Find the measure of the interior angles of a
polygon……and one angle if it is regular
o Find the measure of the exterior angles of a
polygon…..and one angle if it is regular.
o Definition of parallelogram, rectangle,
rhombus, square, trapezoid, isosceles
trapezoid, and kite.
o Properties of Parallelograms (Theorems
6.2.1 – 6.2.4)
o What makes something a parallelogram
(Theorems 6.3.1 – 6.3.5)
o Properties of a rectangle (Theorems 6.4.1
and 6.4.2), rhombus (Theorems 6.4.3 –
6.4.5), and square.
o What makes something a rectangle
(Theorem 6.5.1 and 6.5.2), rhombus
(theorem 6.5.3 – 6.5.5), and square.
o Properties of a kite (Theorems 6.6.1 and
6.6.2) and Isosceles Trapezoids (6.6.3 –
6.6.5)
o Parts of a trapezoid (bases, legs, base
angles)
o Trapezoid Midsegment Theorem
o Identify a quadrilateral based on given
information.
o Quadrilateral Tree Diagram
o Quadrilateral bookmark
Chapter 7
o What is a ratio? How can you write a ratio?
o What is a proportion?
o Where are the extremes and means?
o Cross Product Property and Reciprocal
Properties found on page 455.
o Given an equation – find the ratio of one
variable to another.
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
Set up, and solve, a proportion of a scale
model and actual object.
When are two shapes similar?
o What changes….what stays the
same?
o How do you find side lengths?
What is the similarity ratio?
Write a similarity statement.
Triangle Similarity:
o AA
o SSS
o SAS
Verify that two triangles are similar.
Properties of Similarity
Triangle Proportionality Theorem
Converse of the Triangle Proportionality
Theorem
Two-Transversal Proportionality Corollary
Triangle Angle Bisector Theorem
What is indirect measurement?
What is a scale drawing?
What is a scale?
Similarity, Perimeter, and Area Ratios –
how do they relate?
What is a dilation?
What is a scale factor?
o How is it found on the coordinate
plane?
Dilation/Enlargement – Look at k!
Chapter 8
 Writing a similarity statement given a large
right triangle and the altitude drawn in.
 Find a geometric mean given 2 numbers.
 Geometric means in a large right triangles
(legs and hypotnesus)
 Trigonometric Ratios
o Soh Cah Toa
o Find a ratio as a fraction and decimal
o Use your calculator to find a trig
ratio.
o Find a length of a right triangle given
an angle and one side.
 Solve a right triangle
o All 6 pieces!
 Angle of Elevation
 Angles of Depression

Sketching a diagram given information with
angle of elevation and depression.
Chapter 9
 Area addition postulate
 Area formulas:
o Parallelogram
o Triangle
o Trapezoid
o Rhombus
o Kite
o Circle (as well as circumference)
o Regular Polygon
 Locate: center of a regular polygon,
apothem, central angle of a regular polygon
 What is a composite figure?
 Find the area of a composite figure
 Estimate area of irregular shapes
 Find perimeter and area while on the
coordinate plane.
 Effects of changing dimensions
proportionality
o Related to perimeter, circumference,
and area.
 What is geometric probability?
o Use length to find
o Use angle measures to find
o Use area to find
Geometry Chapter 10
 What is a three-dimensional figure?
o Faces
o Edges
o Vertex
o Prism, Cylinder, Pyramid, Cone
(How are they named?)
 What is a net?
 What is a cross section?
 Orthographic drawing – viewing and
drawing
 Isometric drawing – viewing and drawing
 Perspective drawing – viewing
o Vanishing point (1 point and 2 point
perspective)
 Determine whether a drawing represents a
given object
 Polyhedrons (examples and nonexamples)
 Euler Formula
 Length of a diagonal in a right rectangular
prism
 What is space?








Distance and Midpoint Formulas in three
dimensions
Definitions:
o Lateral faces
o Lateral edges
o Right prism
o Oblique prism
o Altitude
o Axis of cylinder
o Right cylinder
o Oblique cylinder
o Rights Cone
o Oblique Cone
Surface Area of a solid
Pyramid: slant height, altitude
Cone: slant height, altitude
Lateral Area and Surface Area of:
o Right Prisms
o Right Cylinders
o Regular Pyramid
o Right Cone
Volume of:
o Prism
o Cylinder
o Pyramid
o Cone
Spheres
o Center, Radius, Hemisphere, Great
Circle, Volume, Surface Area
Geometry Chapter 11
 Interior vs exterior of a circle
 Chord, secant, tangent, point of tangency in
a circle
 How are circles congruent?
 What are concentric circles
 Tangent circles – Internally vs externally to
each other!
 Internal vs external tangents (outside the
circles)
 Radius is perpendicular to tangents.
 When are tangents congruent?
 Vocab: Central angle, arc, minor arc, major
arc, semicircle, adjacent arcs, congruent arcs
 When cords are congruent, what is true
about the arcs?
 What is true about radii and chords in the
same circle?
 Find the area of a sector
 Find the segment of a circle








Find the arc length in a circle.
What is an inscribed angle and intercepted
arc? What does it mean to subtend?
Inscribed Angle Theorem
What is true when inscribed angles share
common endpoints?
When do you have a 90 degree inscribed
angle?
What is true about a quadrilateral inscribed
in a circle?
Angle relationships in circles (Chart from
11.5)
Segment relationships in circles
o Chord-Chord Product
o Secant-Secant Product
o Secant-Tangent Product
Chapter 12
 What is an isometry
o 3 examples
 Line of reflection is the perpendicular
bisector of _____?
 Reflection across the x-axis, y-axis, y =
x
 2 Reflections equal what? (2 examples)
o Compositions of Tranformations
 Translation vector
 Translation in the coordinate plane
 Rotations for 90 and 180 degrees ‘about
the origin’
Always review quizzes, notes, and homework.