Assignment 0 - Tools to Bring to Class Every Day
Starting Wednesday, bring a decent compass (one that will lock its distance
and not slip), a ruler, a protractor and a pair of scissors
to class every day.
Assignment 1A - Due Wed 10/1
The sign = will be used to mean congruence when it (hopefully) will
not lead to confusion.
1.1 Kite Problem
A kite is a quadrilateral ABDC with AB = AD and CB = CD.
- With your compass, draw a couple of intersecting circles, label some points
and draw a kite from this picture.
- Use paper folding and your scissors to cut out a kite.
The diagonals of the kite are AC and BD.
- As we did with isosceles triangles, discover and list as many relationships
as you can among the angles, sides and diagonals of a (general) kite. State
the relationships in as strong a form as you can, using geometrical terminology.
- Then write a proof of some of these relationships. IMPORTANT: You are free
to use what you have proved about isosceles triangles and kites in your proofs.
1.2 Properties of a Rhombus
A rhombus is a quadrilateral all of whose sides are congruent.
- Discover and list as many relationships as you can among the angles, sides
and diagonals of a rhombus.State the relationships in as strong a form as
you can, using geometrical terminology.
- Then write a proof of each of these relationships. IMPORTANT: You are free
to use what you have proved about isosceles triangles and kites in your proofs.