MATH 7200
Homework #4
Click here for my copies
of the questions. Click here
for the original page of questions.
1.
- (a) Click here
for a GSP sketch with the steps (and some animations) taken to
trisect a line segment.
- (b) First see (a) above. The only change
here is the number of circles needed. To divide the line segment
AB into seven (or n) segments of equal length, we need
to construct seven (or n) circles on the constructed line
through A. Then we would have a line segment AX that has 7 (or
n) segments of equal length. Click here
for a GSP sketch with the steps (and some animations) taken to
trisect a line segment.
2.
- (a), (b) Click here
for a GSP sketch with the steps taken to inscribe a equilateral
triangle in a circle.
- (c) Click here
for a GSP sketch with the steps taken to inscribe an octagon
in a circle.
3.
- (a), (b) Click here
for a GSP sketch with the steps taken to construct a square with
twice the area of a given square.
- (c) Click here
for a GSP sketch with the steps taken to construct a square with
triple the area of a given square.
4. Click here for a
GSP sketch and proof that the sum of the angles of a triangle
is 180 degrees BUT alas I used parallel lines. Click here
for a GSP sketch and proof (WITHOUT parallel lines) that the sum
of the angles of a triangle is 180 degrees. NOTE this second version
was uploaded AFTER class.
5. (XC) Click here
for a GSP sketch of the construction of a golden rectangle.
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to contact me.
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