Final II
by
Angie Head
In this paper, I am going to construct the following geometric figures
using GSP script files. I will construct isosceles trapezoids, isosceles
triangles, rhombii, and parallelograms. I will construct these figures using
two different methods. To perform these constructions, click on the word
here, open a new page in GSP, follow the directions given for each,
and then select play in the script.
Isosceles Trapezoids
First, I will construct an isosceles trapezoid by following the instructions
given below.
Construct an isosceles trapezoid, given the median, altitude, and one of
the bases. First, create the median, then the altitude, and then the base.
You need to highlight the endpoints of the median, then the endpoints of
the altitude, then the endpoints of the base, and then two points on an
arbitrary line.
Click here to peform this
construction.
The second construction of an isosceles trapezoid.
Construct an isosceles trapezoid given the two bases and one angle. First,
select the endpoints of the two bases and then the points of the angle.
To perform this construction click here.
Isosceles Triangles
The first construction of an isosceles triangle.
Construct an isoscles triangle given the altitude on the base and a base
angle. You need a segment for the altitude, an angle, and a line to construct
the triangle on. First, highlight the endpoints of the altitude, then the
points of the angle in order, and then two points on the line.
Click here to perform the construction.
Now, we will perform the second construction of an isosceles triangle.
Construct an isoscles triangle given one of the congruent sides and the
altitude upon it. First, you need to create an arbitrary line, an altitude,
and a line segment to represent the congruent side of your triangle. You
need to highlight two points on the line, then the endpoints of the altitude,
and then the endpoints of the line segment that represents the congruent
side.
To perform the construction, click here.
Parallelograms
Now we will perform two constructions that will produce a parallelogram.
The first one is as follows:
Given the length of one side, the length of one diagonal, and an angle CDE,
construct a parallelogram. Highlight the side segment, then the angle,
and then the diagonal.
To perform this, click here.
The second parallelogram construction is as follows:
Construct a parallelogram given one angle, one side, and the altitude to
that side. First create the angle, then the side, then the diagonal, and
finally an arbitrary line. You must select the points on those in that
order.
Click here to perform this
construction.
Rhombii
The last geometric figure that I'm going to construct is a rhombus. As
in the previous constructions, I constructed a rhombus using two different
methods. The first method is as follows:
Construct a rhombus given line segment AB and angle DCE. First, you must
draw the line segment and then the angle. Then you highlight the endpoints
of the line segment and the points of the angle.
Click here to perform the first method.
The second method is
Given an angle CDE and a segment AB the length of a diagonal of the rhombus,
construct the rhombus. Higlight the diagonal and then the angle.
Click here to perform the second
method.
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