Showing posts with label Rays and Angles. Show all posts
Showing posts with label Rays and Angles. Show all posts

Friday, August 27, 2010

Review of Proofs

Thes are tough. If you miss more than one, take it again.

Wednesday, August 18, 2010

Test

Angle Facts


Vocabulary Review (do both)


Summary and Review

Study the flashcards for Rays and Angles, then

Do the test, twice.

More review


Optional -- Scatter for extra practice (below)

Then go to next section

Parallel and Perpendicular Lines

No book today. Instead....

  1. Read about parallel lines and try the interactive definitions.
  2. Try this quiz
  3. Also look at this interactive lesson (you click on the screen to get to the next display)
  4. Then try a few of these angle tests.
  5. Finally, do a thatquiz on finding measurements of different kinds of angles.

You will be using some of the principles in the earlier demonstrations and quizzes, so let me know how you did.

Linear Pairs and Vertical Angles

Read:
page 105-106

To know:

  • Theorems 7-9 on page 106
  • What a linear pair is:



For more on linear pairs, take a look here and try moving the orange dot.

  • What is meant by vertical angles (vertical means the same as opposite)

1 = 3
2 = 4

For more on vertical angles, take a look here and do the practice exercises.

Try:

ThatQuiz on linear pairs and vertical angles


DO:

Set I #14-22
Set II # 26-28

Also, do #29-31 with me.

First, look at

Linear Pair Theorem Proof

Algebra Review #3

Go To: page 118
This review is on simultaneous equations and the "substitution" method of solving them.

Try:
This Test

DO;
odd-numbered exercises

If you have trouble, watch this video

Complementary or Supplementary Angles

Read and Practice: Complementary or Supplementary?

Try a Pre-Test: Complementary or Supplementary Angles

Read: pages 99-100

Know:
  • Definitions of Complementary and Supplementary
  • Theorem 5 and 6
Both Theorem 5 and 6 are easy to remember.

If

a + c = 90, and b + c = 90,

then

A = B

It's the same for

A + C = 180, etc.

DO:

Set I, #1-8
Set II, #19-23, 24-27, 32

Monday, August 16, 2010

Betweenness of Rays

Read pages 94-95 in Geometry.

Theorem 3 Betweenness of Rays
You will have to study the proof on page 95 carefully. Ask for help if you need it.

Theorem 4 Angle Bisector Theorem
Look at bisecting an angle

Try this vocabulary quiz

Try measuring angles

Exercises:
(these seem difficult; you may need help)
Set I
#14-18
Set II

#19-22
In this group, you are asked to match the statements with their theorems or definitions.
Hint: Look back at pages 94-95

#23-26 -- skip these ones.

#27 -30
This is algebra review.

If
ASN = 5x
and
NSD = 3x + 28

and you know because SN is bisecting the angle that both these two angles are equal,
then
ASN = NSD

Knowing that, can you do the rest?

#31-34

  • Look at the facts about the figure.
  • Hint: AJD + DJE = AJE (because of the Betweenness of Rays)
  • Substitute the terms for the angle names, as you did in the last group of problems, and then you have an algebra problem that you can solve.
  • When you see problems like this, ALWAYS look for ways to do this.
#35 - 36

  • Do these proofs with me.

This was a long lesson.... tomorrow will be an optional day.

Protractor Postulate

Read pages 89-90 in Geometry.

Review: look at demonstration of degrees in an angle

Words to Know:

  • degree
  • coordinate
  • acute, right, obtuse, straight angles


To Do;


Exercises:

In Set I, if a protractor is placed as described in the book, then 30 and 75 are called "coordinates" and the measurement of ABC is 75- 30=45. Does that make sense?

Try #10-13


You will need to know the difference between the symbols, which is on the top of page 90.

Do #14-19

SET II:

Do #30-35

Rays and Angles -- Introduction

Words to Know

  • line segment
  • ray
  • angle
  • linear pair
  • vertical angles
  • opposite rays
  • vertex
  • sides of an angle
IFF means if and only if

By the way, here is a geometry vocabulary list with links to definitions.

Try:

This Lines, Rays and Angles Quiz
Look at demonstration of collinear

Do

SET I: #4-14, 19-21
SET II: #27-32, #34