8.2- Properties of Parallelograms

Today we discussed the properties of parallelograms.  These properties are fundamental in our study of quadrilaterals.  Please make sure you know these properties by tomorrow.

Tonight's homework is P. 518-519 #3,7,9,13,16,29, and 31

Check out this animation to review and explore the properties of parallelograms: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg519.html

8.1- Angle Measures in a Polygon

Today we talked about the Polygon Interior Angles Theorem and a Polygon Exterior Angles Theorem as our introduction to Quadrilaterals.

Tonight's homework is P. 510-511 #3, 5, 9, 11, 15, 18, and 19

Midterm Review

Tomorrow and Friday, you will have a midterm.  Thursday is the Multiple Choice section of the midterm, and Friday is the Free Response portion of the midterm.  The midterm covers everything since the beginning of the year.  You should go through your study project and your past exams to study.  Good luck!

Here are some good resources for extra problems and videos on how to do various topics:
http://www.brightstorm.com/math/geometry
http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htm

Transformations Study Project

Please work on your Transformations Study Project this weekend.  It will be due on Wednesday.  Use this to help you study for your midterm.  Your midterm will be two parts on Thursday (Multiple Choice) and Friday (Short Answer) and will cover everything since the beginning of the year.

Ch. 9 Study Project Terms(10)

Transformation

Isometry

Translation

Reflection

Rotation

Dilation

Composition of Transformations

Line Symmetry**

Rotational Symmetry**

Orientation**

**We will go over these terms on Tuesday

Transformations: Composition of Transformations

Today we learned about the composition of transformations, which is when we combine two or more transformations.  Please note that when you see the function symbol (dot that looks like a multiplications symbol), that means that you perform the second transformation first and then the first transformation.

Tonight's homework is the Worksheet from class.  Please do #1,2,4,6,7,12, and 13 on the first page, and #2-8 evens starting on the second page.  Feel free to do the rest of the problems for additional practice.

For help on how to perform a composition of transformations, please see this video:
http://www.brightstorm.com/math/geometry/transformations/compositions-of-transformations

Transformations: Dilations

Today we learned about dilations, which are transformations that result in similar figures.

Today's homework is a worksheet that we received in class.  YOU DO NOT HAVE TO DO #17 and #18!  If you were absent, please go to eboard on the math/physics tab and download the "Dilations" document.
Also, if you were absent, please see the following video:
http://www.brightstorm.com/math/geometry/transformations/dilations

Transformations: Rotations

Today we learned how to rotate a figure in a coordinate plane.  You should know how to rotate a figure counterclockwise about the origin 90, 180, or 270 degrees.

Tonight's homework is to complete the worksheet from class, odd problems only.

Please watch the video to learn more about rotations:
http://www.brightstorm.com/math/geometry/transformations/rotations

Transformations: Reflections

Today we learned how to perform reflections over a line.  You should know how to reflect a figure over any vertical line, horizontal line, the line y = x, and the line y = -x.

Tonight's homework is the worksheet from class, and to finish your test corrections by Wednesday.  You may skip #3,8, and 11-15.

Please see the video on reflections for more information on reflections:
http://www.brightstorm.com/math/geometry/transformations/reflections

Transformations: Translations

Today we began our unit on Transformations.  The first transformation that we are learning about are translations.  This unit is supplemental to Chapter 9 in our textbook, so please copy someone's notes from class if you were absent today.

Tonight's homework is a worksheet that we passed out in class today.  If you were absent, please see me on Monday or whenever you return.  I will try to figure out a way to post the worksheets because this unit will be mostly done by supplemental worksheets.

This video introduces transformations and isometries:
http://www.brightstorm.com/math/geometry/transformations/transformations-and-isometries
This video teaches about translations:
http://www.brightstorm.com/math/geometry/transformations/translations

Chapter 7 Review

Today we reviewed Chapter 7 and some of Chapters 1-6.  Tomorrow we will review further.  For Chapter 7, you should know how to:

• Use the Pythagorean Theorem to Solve for the Missing Side of a Right Triangle
• Find the Area of an Isosceles Triangle, given its side lengths
• Use the Converse of the Pythagorean Theorem to Classify A Triangle as Acute, Right, or Obtuse
• Solve for missing sides of Similar Right Triangles by either setting up corresponding proportions or by using the Geometric Mean (Leg) Theorem or the Geometric Mean (Altitude) Theorem
• Know the Properties of Special Right Triangles and know how to simplify answers in simplest radical form
• Know how to apply sine, cosine, and tangent ratios to solve missing sides of a right triangle
• Know how to apply inverse sine, cosine, and tangent ratios to solve missing angles of a right triangle.

For homework, please complete the Chapter 7 Test on Page 498 #1-17 ALL problems.  Also, please complete the Chapter 7 Study Project.  You have a Cumulative Test on Chapters 1-7 on Thursday.
The Chapter 7 Study Terms include:

Pythagorean Theorem

Converse of the Pythagorean Theorem

Classifying Acute Triangles Theorem

Classifying Obtuse Triangles Theorem

Geometric Mean

Similar Right Triangles Theorem

Geometric Mean (Altitude) Theorem

Geometric Mean (Leg) Theorem

45-45-90 Triangle Theorem

30-60-90 Triangle Theorem

Tangent Ratio

Sine Ratio

Cosine Ratio

Inverse Trigonometric Ratios

7.7 Inverse Trig Ratios

Today we learned how to use the inverse trig ratios to help us solve right triangles.  To solve a right triangle means to solve for all missing angles and side lengths.

Tonight's homework is P. 485-486 #5,7,9,13,29

(sorry for the late post!)