Chapter 6 Review and Study Project

Today we reviewed the Chapter 6 Study Project terms.  Please complete the study project by tomorrow in preparation for your Chapter 6 quiz that will be given tomorrow.  See the terms below:

Ch. 6 (8)

Similar Polygons

Scale Factor

AA Similarity Postulate

SSS Similarity Postulate

SAS Similarity Postulate

Triangle Proportionality Theorem (including converse)

Parallel Lines Proportionality Theorem

Angle Bisectors and Opposite Ratios Theorem

Also, you may review vocabulary by completing this crossword puzzle:

http://www.classzone.com/cz/books/geometry_2007_na/crossword.htm?id=xword_ch6

6.6- Use Proportionality Theorems

When dealing with similar polygons, we see a lot of proportions that are formed.  Today we discussed Triangle Proportionality Theorem, Parallel Lines Proportionality Theorem, and the Angle Bisector and Opposite Ratio Theorem.

Tonight's homework is P. 400-401 #5,8,9,13,15, and 16.  Please bring either flashcards or your notebook to work on a new study project tomorrow in class.

For some challenging bonus material, check out this animation on fractals and how they use Proportionality Theorems:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch06_pg407.html
For more help on proportionality theorems, please watch these videos:
http://www.brightstorm.com/math/geometry/similarity/proportional-segments-between-parallel-lines
http://www.brightstorm.com/math/geometry/similarity/angle-bisectors-and-opposite-side-ratios

6.5- SSS and SAS Similarity Theorems

Today we discussed the final two shortcuts to prove that triangles are similar to each other.  The three ways that you can prove that triangles are similar are the Angle-Angle (AA) Similarity Postulate, the Side-Side-Side (SSS) Similarity Theorem, and the Side-Angle-Side (SAS) Similarity Theorem.

Tonight's homework is P. 392-393 #5,7,11,14,19, and 21
Also, please remember that the FINAL DAY to turn in test corrections is TOMORROW.

Here is a video that teaches about the similarity shortcuts in case you are still confused:
http://www.brightstorm.com/math/geometry/similarity/similarity-shortcuts
Here are some animations to help you determine if triangles are smiliar:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch06_pg391.html
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch06_pg394.html

6.4- AA Similarity Postulate

Today we learned about the properties of similar polygons, and the first way to prove that two triangles are similar (Angle-Angle Similarity Postulate).  We also spent some time going over commonly missed questions on the test.

Tonight's homework is P. 384-385 #9,13,16,20, and 23.  Also, please complete the test corrections and return NO LATER THAN TUESDAY due to the end of the marking period.  Remember that you can receive up to half of the points that you lost if you complete the test corrections properly.
The format for test corrections is:

• Question
• Incorrect Answer
• Correct Answer with work shown
• Reason you got your answer incorrect (be specific)

Have a great weekend!!

Preparing for Chapters 1-5 Test

To study for tomorrow's test, please try the practice test found here for Chapter 5: http://www.classzone.com/etest/viewTestPractice.htm?testId=21154
AND, try practice problems from all of the previous tests:
http://www.classzone.com/cz/books/geometry_2007_na/page_build.htm?id=resources/applications/oltp/ny/online_test_practice&qtype=chapter

Also, check out these helpful videos on any topics you are still having trouble with:
http://www.brightstorm.com/math/geometry/triangles
http://www.brightstorm.com/math/geometry/constructions

Chapter 5 Review

Today we reviewed about segments in a triangle, including perpendicular bisectors, angle bisectors, medians, and altitudes and their theorems associated with them.

For homework please complete the Chapter 5 Test in your textbook, P. 348 #1-18 ALL while studying for your cumulative test on chapters 1-5 on Thursday and
The Chapter 5 Study Project is due tomorrow and should include all of the following terms:

Midsegment

Midsegment Theorem

Perpendicular Bisector

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector Theorem

Concurrency of Perpendicular Bisectors of a Triangle Theorem/Circumcenter

Angle Bisector

Angle Bisector Theorem

Converse of the Angle Bisector Theorem

Concurrency of Angle Bisectors of a Triangle Theorem/Incenter

Median

Concurrency of Medians of a Triangle Theorem/Centroid

Altitude

Concurrency of Altitudes of a Triangle Theorem/Orthocenter

Triangle Inequality Theorem

Hinge Theorem

Converse of the Hinge Theorem

5.6- Hinge Theorem

Today we compared inequalities in two different triangles by using the hinge theorem.

Tonight's homework is P. 338-340 #5,7,9,17, and 24
Also, please remember that the Chapter 5 study project is due on Wednesday 12/1 and we have a test on Thursday, 12/2 covering everything since the beginning of the year Chapters 1-5, constructions, and linear-quadratic equations.

Check out this animation to help you understand the hinge theorem: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch05_pg336.html

5.5- Inequalities in a Triangle

Today we looked at the Triangle Inequality Theorem and how the sides and angles related to each other in a triangle.

Tonight's homework is P. 331-332 #9,12,17,19,20,21,25, and 33

Your Chapter 5 Study Project is due on Wednesday 12/1

Please check out these videos to help you understand today's lesson:
http://www.brightstorm.com/math/geometry/triangles/triangle-side-inequalities
http://www.brightstorm.com/math/geometry/triangles/triangle-side-and-angle-inequalities

Happy Thanksgiving!  Enjoy the long weekend!  =)

8th Grade State Test Diagnostic

Today we took a diagnostic of the 8th Grade State Test Material.  Please complete the Free Response packet for homework.  If you were absent, you can download it at the following two websites:
http://www.nysedregents.org/Grade8/Mathematics/20080306book2.pdf
http://www.nysedregents.org/Grade8/Mathematics/20080306book3.pdf

5.4- Use Altitudes of a Triangle

Today we learned how to find the orthocenter of a triangle.  The orthocenter is the point of concurrency of altitudes of a triangle.

This weekend's homework is P. 323 #17-22, and 29-31.  Also, we will have a quiz on 5.1-5.4 on Monday.  Please review the Study Project terms through "orthocenter" and be sure you know the properties of segments in a triangle.  If you were absent today, please email me for the list of terms you are responsible for knowing by Monday.

Please the following animation to help you understand orthocenters: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch05_pg321.html