30
Quick Start Guide
•
Plot
—Contains symbolic plot options to draw graphs, such as functions, polar plots, slope fields, and so on.
•
Transform
—Contains the geometric transformations, such as translation,
rotation, dilation, and so on. For example, to reflect an object, tap
, tap
Transform
, and then select
Reflection
. Tap the object (point or straight object)
that is to be the center, and then press
E
. Next, tap the object that is to be
reflected, and then press
E
. The selected object is reflected over the center. In
the illustration at the right, circle G is a reflection over point E of circle C.
•
Cartesian
—Contains options for displaying the coordinates of points, the
equations of lines and curves, and so on.
•
Measure
—Contains various measurements, such as distance, perimeter, slope,
and area.
•
Tests
—Contains various tests that you can perform on objects, such as Is_Collinear?, Is_Parallelogram?, and so on.
All geometric objects created in Plot view (points, lines, circles, and so on) are recorded in Symbolic view as well. Similarly,
all calculations (point coordinates, equations of curves, measurements, tests, and so on) are recorded in Numeric view.
These calculations appear in Plot view docked at the top left. You can undock them and move them anywhere in Plot view.
You can redock them as well.
Symbolic view
Every object—whether a point, segment, line, polygon, or curve—is given a name, and its definition is
displayed in Symbolic view (
@
). The name is the name for it you see in Plot view prefixed by “G”. Thus a point labeled
B
in
Plot view is given the name
GB
in Symbolic view.
The G-prefixed name is a variable that can be referenced in Numeric view (see below)
and in CAS calculations. Note from the illustration at the right that
GG
is the name of
the variable that represents the circle just reflected. If you are working in the CAS and
want to know what the area of that circle is, you could enter
area(GG)
and get the
result.
You can change the definition of an object by selecting it and tapping
. The
object is modified accordingly in Plot view. For example, if you wanted to change the
point of reflection in the circle example above, just select point
GE
and change its
arguments. (The arguments are the coordinates of the point.)
You can also create an object in Symbolic view. Tap
, and use the Commands menu to help define the object—for
example,
point(4,6)
—and press
E
. The object is created and can be seen in Plot view. The
menu is the
same here as it is in Plot view, except that the Zoom, Cartesian, Measure, and Tests categories are not available. The
commands for creating geometric objects are available, but you must enter each command with its proper syntax. Select
the command and then press
W
to see its syntax. You can also rename and delete objects in Symbolic view, and also
deselect them. When you deselect an object, you hide it in Plot view.
Numeric view
Numeric view (
N
) enables you to view, create, and edit calculations.
The results displayed are dynamic—if you manipulate an object in Plot view, any
calculations in Numeric view that refer to that object are automatically updated to
reflect the new properties of the manipulated object. To continue this example, if you
go to Numeric view and tap
, you can calculate the area of the first circle you
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