Drawing vs Constructing Polygons
Use the applet below to construct each of the following figures off of the given segment.
- isosceles triangle (where segment is a leg, not the base)
- equilateral triangle
- parallelogram (with one pair of acute angles and one pair of obtuse angles)
- rectangle (with as the longer side length)
- square
Construct an isosceles triangle (where segment AB is a leg, not the base).
Is it possible to make a different (non-congruent) isosceles triangle using segment AB? If so, create a second isosceles triangle in the applet. If not, explain why below.
How do you know that what you have constructed is an isosceles triangle?
Construct an equilateral triangle.
Is it possible to make a different (non-congruent) equilateral triangle using segment AB? If so, create a second equilateral triangle in the applet. If not, explain why below.
How do you know that what you have constructed is an equilateral triangle?
Construct a parallelogram with one pair of acute angles and one pair of obtuse angles.
Is it possible to make a different (non-congruent) parallelogram using segment AB? If so, create a second parallelogram in the applet. If not, explain why below.
How do you know that what you have constructed is a paralleogram?
Construct a rectangle with AB as the longer side length.
Is it possible to make a different (non-congruent) rectangle using segment AB? If so, create a second rectangle in the applet. If not, explain why below.
How do you know that what you have constructed is a rectangle?
Construct a square.
Is it possible to make a different (non-congruent) square using segment AB? If so, create a second square in the applet. If not, explain why below.
How do you know that what you have constructed is a square?
Drawing vs Constructing
Pick one construction that retained its important characteristics even after you moved point around. Describe below (in complete sentences) how you constructed that figure.