1. Learn to use the dilation tool and dilation in the transform menu.
2. Solve the square-inscribed-in-triangle problem.
3. Construct the image of a point by a dilatation using parallel lines, given
a segment and its image.
4. Construct centers of similitude of two parallel segments. Use dilations to
explain midpoint properties of trapezoids.
5. Given two circles, construct the centers of similitude and the common tangents.
6. Given angle ABC and a point D inside this angle, construct all circles through
D that is tangent to rays BA and BC.
7. Construct the composition of two dilations. See Menelaus in the figure.
8. Construct the midpoint locus of a segment of length d, with one end fixed
and the other on a circle.
9. Construct the dilation with ratio 1/2 of a triangle. Connection with
midpoint circle.
Assignment A from Lab (Due Friday, 1/8/99)
Bring to class the following constructions, using figures that will be handed
out:
1. Construct the image of a point by a dilatation using parallel lines,
given a segment and its image.
2. Solve the square-inscribed-in-triangle problem.
3. Given two circles, construct the centers of similitude and the common tangents.
4. Given angle ABC and a point D inside this angle, construct all circles through
D that are tangent to rays BA and BC.