Problem 2: Prepare a GSP scrip for 2 of each set of 3 of the following constructions.
Submit the script and a fully labeled sketch for each.
A. Constuction of a rhombus:
i. Given one side and one angle.
Given line j and angle CDE we can construct a rhombus HIJK
Click here to pull up the sript used to construct
the rhombus.
ii. Given one angle and a diagonal
Given angle BAC and diagonal L, the rhombus HIJK can be constructed
Click here to pull up the script used to
create the rhombus
B. Construction of a Parallelogram:
i. Given one side, one angle, and one diagonal
Given side j, angle EFG, and diagonal k, the Parallelogram JKLM can be constructed.
Click here to pull up the script used to
create the parallelogram.
ii. Given two adjacent sides and an altitude
Given side j, and side k (adjacent sides), and an altitude l, Parallelogram
JKLM can be constructed.
Click here to pull up the script to create
the parallelogram.
C. Construct an isosceles trapezoid
i. Given the bases and one anlge.
Given the bases j and k, and the angle EFG, the isosceles trapezoid KLMN
can be constructed.
Click here to pull up the GSP script used to
construct the trapezoid.
ii. Given one base, the diagonal, and the angle included by them.
Given the base j, the diagonal k, and the angle included by them EFG, the
isosceles trapezoid KLMN can be constructed.
Click here to pull up the GSP script used to
construct the trapezoid.
D. Construct on Isosceles Triangle given:
i. The altitude on the base, and a base angle.
Given altitude j and base angle CDE, the isosceles triangle HKL can be constructed.
Click here to pull up the GSP script used
to construct the triangle.
ii. Given one of the congruent sides and the altitude upon it.
Given one congruent side, j, and the altitude, k, upon in Triangle JKL can
be constructed.
Click here to pull up the GSP script used
to contruct this isosceles triangle.
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