10.1- Properties of Tangents Part 1

Today, we did an introduction to circles and began a study on the properties of tangents.

Tonight's homework is P. 655-656 #1-10, 13, 14, and 19

For practice on the vocabulary that we learned today, please see this animation: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch10_pg655.html

Test Cancelled

For various reasons, I have decided to cancel our test this week.  Please complete the review sheet though.  We will begin our unit on circles tomorrow.

11.3- Perimeter and Area of Similar Polygons

Today we learned the relationship between the ratio of corresponding sides of similar polygons compared to the ratios of their perimeters and areas.

Tonight's homework is P. 740-742 # 5, 7, 12, 13, 17, and 28

You can see the gazebo question from class here: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch11_pg739.html

Also, we will have our next cumulative test on Wednesday (Short Response) and Thursday (Multiple Choice).  It will be two days just to ensure that we have enough time to finish the whole exam, even though it will not take both full periods.  We will review the topics tomorrow in class.

11.2- Area of Trapezoids and Kites Investigation

Today we did an investigation on the area of trapezoids and kites and how they compare to the area of a parallelogram.  If you missed our activity today, please try it on your own from P. 729 of our textbook.

Also, check out the videos to see another demonstration of a derivation of these formulas:
http://www.brightstorm.com/math/geometry/area/area-of-trapezoids
http://www.brightstorm.com/math/geometry/area/area-of-kites-and-rhombuses

11.1- Area of Triangles and Parallelograms

As we begin Chapter 11, we will be exploring the area of various polygons.  Today we reviewed how to find the area of triangles and parallelograms.

Tonight's homework is P. 723-724 #3,7,13,17,23,27, and 30

Need more help?  Check out this animation:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch11_pg720.html
Or one of these videos:
http://www.brightstorm.com/math/geometry/area/area-of-parallelograms
http://www.brightstorm.com/math/geometry/area/area-of-triangles

Chapter 8 MORE Review

In an attempt to give you all more time to review the current chapter's material, please complete the following two activities on the classzone website, accessed here: http://www.classzone.com/cz/books/geometry_2007_na/book_home.htm
The Chapter 8 Crossword Puzzle found in the the Games and Puzzles section
and the Chapter 6 (Quadrilaterals) Assessment

For extra credit, please either email me a screen shot of your assessment results or print it out and hand to me tomorrow.  If you would like to email me, please email me at bergerj@nestmk12.net  If you email me at my DOE account, I will not be able to see it.  Thank you!

The Study Project will be due tomorrow for one day extension.  Please see me if you have any questions before the quiz tomorrow.

Chapter 8 Review

Today we compared the properties/characteristics of the different special quadrilaterals that we learned this unit. Please complete your Chapter 8 Study Project by Monday and the Chapter 8 Test on Page 564 #1-18 ALL.

See this link to vary videos if you are having trouble with any topics: http://www.brightstorm.com/math/geometry/polygons

Chapter 8 Study Terms are:
Polygon Interior Angles Theorem
Polygon Exterior Angles Theorem
Parallelogram
Ways to Prove a Quadrilateral is a Parallelogram
Rhombus
Rectangle
Square
Trapezoid
Isosceles Trapezoid
Kite

To check the answers to your homework, please look at the following.  You should see me in the morning or at lunch if you are still having trouble with the unit:
1) 118
2) 31
3) 71
4) Angles F and H are 110 degrees, Angles E and G are 70 degrees; consecutive angles are supplementary
5) No; the sides might not be parallel.
6) Yes, diagonals bisect one another
7) No; it could be a trapezoid
8) rhombus, square
9) rectangle, square
10) rectangle, square
11) parallelogram, rectangle, rhombus, square
12) PS is parallel to QR and SR is not parallel to PQ
13) a and b)many answers are possible
c) trapezoid, parallelogram, rectangle
14) Trapezoid; only one pair of opposite sides are known to be parallel
15) Rhombus; segment FH is perpendicular to segment EG.  The diagonals of a rhombus are perpendicular but you don't know that the angle measure of the vertices is 90 degrees
16) Kite; JKLM has a pair of consecutive sides and the angle is bisected
17) 1.25 cm
18) 9 cm, 12 cm

8.5- Trapezoids and Kites

Today we talked about two more special quadrilaterals: trapezoids and kites.  Please see the following videos for a recap of trapezoids and kites:
http://www.brightstorm.com/math/geometry/polygons/trapezoid-properties
http://www.brightstorm.com/math/geometry/polygons/trapezoid-midsegment-properties
http://www.brightstorm.com/math/geometry/polygons/kite-properties

Tonight's homework is P. 546-547 #5,9,11,16,19,25, and 31.
Check out this animation for more help with trapezoids and kites:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg545.html

8.4- Rhombuses, Rectangles, and Squares

Today we learned about the properties of special parallelograms: rhombuses, rectangles, and squares.  Each of these are parallelograms with more specific properties.

Tonight's homework is P. 537-538 #7,11,19,21,23,31,34,40, and 49

For more help with Special Quadrilaterals, see this animation:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg535.html

8.3- Proving a Quadrilateral is a Parallelogram

Today we talked about the reasons/ways that we can prove that a quadrilateral is a parallelogram.  This reasons can be used in a proof or to help you solve for missing measures of sides and angles in a quadrilateral.

Tonight's homework is P. 526-529 #5,9,11,18,19,40

Check out this animation for more help:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg527.html