## Final II

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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.

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.

### 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.

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.

### 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.

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.

### 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.