More Rotations, Reflections and Translations

Complete pg. 345 tonight. We'll review and talk more about tesselations tomorrrow.

Anyone know who Escher is?

Rotations, Translations and Reflections

You may have been using the terms flips, turns and slides in past classes, but we should get comfortable with the proper geometry terms.

Flips are reflections

Turns are rotations

Slides are translations.

Look at examples of these tonight on the worksheet handed out in class. Tomorrow, we'll have loads of activity sheets for you to practice on!

Congruence

Congruent triangles have the same measure for sides and angles. The tricky part is figuring out which side matches the other.

Look at Practice 9-5 tonight, questions 1-17.

Need more help with congruent figures? Look here.

Study Angles, Polygons and Equations

Your quiz will be tomorrow. Look at some of the backposts for some helpful sites that could help you!

Polygon angle measurements and equations

We know that all triangles add up to 180 degrees. Aimed with that knowledge, we should be able to find out the measure of regular polygons by seeing how many triangles we can make from diagonals.

You can see above how it is done with the pentagon.

Check out this site to see other polygons and finish the worksheet handed out in class.


Also, there is more practice tonight with equations. Do questions a-j on Section 3.

Classify those polygons

Do the worksheet handed out in class to find out of which Chicago basketball player had a bronze statue made of him.

Also, keep practicing solving multi-step equations. Answer questions 9-12 on Practice 7-2.

Need more help with these? Try these other sites for additional help.

Let us know if you find any of these links helpful.

Balancing Equations

Flashcards - choose Multiplication and Addition

Polygon Sorting

Finish the Geodee worksheet handed out in class.

Also continue to practive solving multi-step equations. Finish questions 2-8 on Practice 7-2.

Polygons

We've started to work with polygons. Refer to the reference sheets handed out in class to complete Practice 9-3.

Continue to practice multi-step equations, too, by doing questions 15-18 on Practice sheet 7-5.

Solving Multi-Step Equations

Reteaching: Angle Relationships

Tonight, you are looking at the reteach worksheet that repeats our lesson from yesterday.

Need more help? Look at these sites, too:

Vertical Angles - interactive practice using variables

Algebra Lab - check your answers when figuring out the measure of complimentary, supplementary and vertical angles.


I'm also available for extra help. Tomorrow during Homework club would be a great time!

Angle Relationships

Adjacent angles share a vertex and a side, but no point.

Vertical angles are formed by two intersecting lines and are opposite each other. They always have the same measure.

Corresponding angles lie on the same side of the transversal in corresponding positions.

Alternate interior angles lie on the interior of a pair of lines and on opposite sides of the transversal.

When the lines are parallel, corresponding angles are equal. Pairs of alternate interior angles are also congruent.

This is useful when we need to find out the measure of an angle. For instance: Let Angle 1 = (x + 80), Angle 2 = (x + 20)

We should be able to see that as adjacent angles, 1 & 2 form a straight line. Straight lines = 180 degrees. (This also makes the two angles supplementary).

Once we have determined this, we can set up an equation:

(x + 80) + (x + 20 )= 180 Combine like terms.

2x + 100 = 180 Isolate the variable

2x + 100 - 100 = 180 - 100

2x = 80

x = 40 Plug in the value of x and check your work.

40 + 80 + 40 + 20 = 180 Correct!

Try worksheet 9-2 tonight. We'll review it tomorrow.

Lines, planes and points

We had our quiz today. Tomorrow, however, we'll be jumping into our Geometry unit. Be ready by completing the two worksheets handed out in class.

Geometry Vocabulary

Key Terms are on page 496 of your Math text book.

Draw a line down the center of your Math notebook. On one side, put the definition of the word. On the other, create a drawing that illustrates the word.

All words are due on Wednesday.