standard_description: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
problem_activity: Problem 1
Below is triangle
$${\triangle ABC}$$
. Rotate this shape five times clockwise about the origin.
[IMG]
Problem 2
Which one doesn't belong? Give a reason why each of the quadrants does not belong with the rest.
[IMG]
Problem 3
Suppose
$${{{ABCD}}}$$
is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps to itself.  Further, no reflections map
$${{{ABCD}}}$$
to itself.
What shape is
$${{{ABCD}}}$$
?


aligns: no