First for this week's assignment:

Some pictures of this week's problems follow.

Question #1 looks like this:

To see the construction of this, click on script for Monge1 .

To explore the image in Sketchpad, click on play with Monge1 .

Question #2 looks like this:

To see the construction of this, click on script for Monge2a .

To explore the image in Sketchpad, click on play with Monge2a .

Also, check out the trace , or read its script.

Question #3 looks like this:

To see the construction of this, click on script for Monge3 .

To explore the image in Sketchpad, click on play with Monge3 .

Question #4 looks like this:

To see the construction of a polygon dilated by a marked ratio, click on script for Monge4a .

To explore this image in Sketchpad, click on play with Monge4a .

To see the construction of a composition of two dilations, click on script for Monge4b .

To explore this image, click on play with Monge4b .

Question #5 is about justifying Monge's Theorem

Conjecture: Given any three circles, the tangents of any two intersect at points collinear to each other.

What we need to show are two things:

The composition of two dilations is a third dilation.

The three centers of dilation are collinear.

To show the first part, consider the radii.

To show the second part ....

For Question #6 insights

click here .

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Question #7 looks like this:

To read about this, click on Monge7 .

To see this construction, click on the script for Monge7 .

To explore this, click on play with Monge7 .

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Question #8 was about designing a lesson ....

To see how each group member would teach the construction of a tangent to a circle through a given point, click on

Barbara ,

Bob ,

Larry ,

or Mary