444 Home Page

1. Week 9/30-10/04

2. Week 10/07-11

3. Week 10/14-18

4. Week 10/21-25

5. Week 10/28-11/1

6. Week 11/04-08

7. Week 11/11-15

8. Week 11/18-22

9. Week 11/25-29

10. Week 12/02-06

11. Week 12/09-13

Monday 10/28 444

• Assignment 4 Due Today
• Read Berele-Goldman Chapter 5.1, 5.2
• Find the center of a circle drawn with no center (half a dozen methods found in class).
• Quadrilaterals can be inscribed in a circle if and only if the opposite angles are supplementary.
• Intersecting chords in circles form similar triangles.
• Construction of geometric mean. Inequality between geometric mean and arithmetic mean (cf. prob 5.8).
• Quiz 2 returned.
• Here is a link to a Java Sketchpad page showing the intersecting chord and secant theorems.

Wednesday 10/30 444

• Quadrilaterals that can be inscribed in a circle are called cyclic quadrilaterals
• A quadrilateral is cyclic if and only if it has a pair of opposite vertex angles which are supplementary.
• Cyclic trapezoids are all Isosceles Trapezoids
• Cyclic parallelograms are all rectangles
• Cyclic rhombi are all squares
• Cyclic kites all have two 90-degree angles

Wednesday 10/30 487 Lab

• Constructions from Chapter 5 and elsewhere
• Midpoint Quadrilaterals
• Dilations and Common tangent construction from chapter 5

Friday 11/1 444

• Midterm Test (50 minutes). See Study Sheet.
• There is NO ASSIGNMENT Due Monday 11/4.