Extra Credit Assignment

Archimedes discovereed a method for estimating the value for pie. How did he do this? Givee a detailed explanation in your own words. Must be one page long excluding any drawings with sources listed on a seperate sheet DUE 4/4/08!!

407-408,, 13-41

13. 40

14. 20

15. 45

16.28

17. 85

18. 66

19. 24

20. 55

21. 59

22. 58

23. 24

24. 75

27. The measure of angle m= 65, r=75, p=55, q=41

28.The measure of angle e=87, f=56, g=41, h=25. j=63

29. The measure of angle m= 65, r=75, p=55, q=41

30. The measure of angle m= 65, r=75, p=55, q=41

31. The measure of angle m= 65, r=75, p=55, q=41

Homework for the

Pages 421-423 10-36

10) Yes it is.

11) Proof, this is a parallelogram because i said so.

12) i don't know

13) yes this is a parallelogram

14) no this is not a parallelogram

15) no this is not a parallelogram

16) yes this is a parallelogram

17) no this is a parallelogram

18) yes this is a parallelogram

19) x=10 y=6

20) x=7 y=5

21) x=8 y=4

22) x=14 y=7

23) x=12 y=6

24) x=2 y=11

25) yes

26) no

27) yes

28) yes

29) no

30) no

31) yes

32) no

33)idkk

34)idkk

Notes: March 27th

Theorem 8-20: The Median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases

Homework for the 27thh

9) yes, no

10) yes, yes

11) no, no

12) yes, yes

13) DE= 13

14) VT= 9

15)W= 80
7= 100

16) Q= 60
S= 95

i don't understand 17-25! :(

Homework for March 27th

PAGES: 442-443 9-25

GEOMETRY HOMEWORK FOR THE 26TH.

PAGES 434-435 NUMBERS 12-34

12) 60 degrees

13) 30 degrees

14) 45 degrees

15) 45 degrees

16) 60 degrees

17) 30 degrees

18) 45 degrees

19) 30 degrees

20)rhombus

21)rectangle

22)square

23)rectangle

24 & 25 CAN'T DO.

26) always

27) sometimes

28) never

29) sometimes

30)sometimes

31) never

32- 34 CAN'T DO.

35) Theorem 8-16: If the diagonals of a parallelogram are perpendicular then the parallelogram is a rhombus.

THEN THE PARALLELOGRAM WOULD BE SLANTED AND THE ANGLES WOULD BE EQUAL AND IT WOULD BE A RHOMBUS.

online geom

ONLINE GEOMETRY BOOK AND PASSWORD.

GEOM05
N6despez

Notes For March 26th

Theorem 8-17: If the diagonals of a parallelogram bisect the opposite angles of the parallelogram then the parallelogram is a rhombus

Summary Rhombi

1) A rhombus has all the properties of a parallelogram.

2) All sides are congruent

3) Diagonals are perpendicular

4)Diagonals bisect the angles of the rhombus

Summary Squares

1) A square has all the properties of a parallelogram

2) A square has all of the properties of the rectangle

3) A square has all of the properties of the rhombus




Trapezoid

What is a trapezoid?
A trapezoid is a quadrilateral with exactly one set of parallel sides

Trapezoid Bases: The parallel sides of the trapezoid.

Trapezoid Legs: The non-parallel sides of a trapezoid

Isosceles Trapezoid: If the legz of a trapezoid are congruent then the trapezoid is isoceles.

Median of a trapezoid- Is the segment that connects the medpoints of the legs of a trapezoid.

Theorems, Postulates, & Definitions

• Theorem 8-18: Both pairs of base angles of an isosceles trapezoid are congruent
• Theorem 8-19: The diagonals of an isosceles trapezoid are congruent.

Homework For March 26th

pages434-435
12-34

March 6th

Math Notes March 6, 2008

Polygon Angle Sum Theorems
Objectives:
· To Classify Polygons
· To find the sum of the measures of the interior and exterior angles.
Polygon:
· A closed plane figure.
· With at least 3 sides (segments)
· The sides only intersect at their endpoints
· Name it by starting at a vertex & go around the figure clockwise or counterclockwise listing each vertex you come across.
Example one:
II. Also Classify polygons by their shape
a) Convex Polygon: Has no diagonal
With points outside the polygon.
b) Concave Polygon: Has at least
One diagonal with points outside the polygon.

a)

March 11th

Math Notes March 11, 2007
Using a calculator will give you an approximation.

March 17th

· Math Notes;
· Check to see if it is a rectangle as well as a rhombus:
· W(1,10); X(-4,0); Y(7,2); Z(12,12)
· The diagonals are not congruent, so this is not a rectangle or a square.

March 17th

· Math Notes;
· Check to see if it is a rectangle as well as a rhombus:
· W(1,10); X(-4,0); Y(7,2); Z(12,12)
· The diagonals are not congruent, so this is not a rectangle or a square.

Geom Notes For SQUARE ROOTS! ;]

Roots
Square Roots
When working a square root problem. Ask: -- what times itself is the number inside the root symbol?”
=3 because 3 times 3 is 9
because 5 times 5 is 25
Roots and Prime Numbers
=3 because 3x3x3 is 27. The small 3 outside the root symbol tells how many times the answer must be multiplied to get the number inside the root.
because 2x2x2x2x2 or 25=32
Prime Number: a number with only factor one and itself 2,3,5,7,9,11,13,1,7,19,23… are prime numbers fifteen is not prime because 3 and 5 also divide it evenly. 15 is a composite number.
Prime factorization.
Prime Factorization is writing a number using multiplication of only prime numbers.
12 can be written as 3x4 but 4 is not prime and can be written as 2x2
So the prime factorization of 12 is 3x2x2 this can also be written 3x22
Graphing Prime Numbers

330

10 x 33
5 x2 3 x 11
To write 330 using its prime factorization start breaking it down by each number.
Simplifying Roots
You won’t be using the radical button on your calculator anymore.
= 2
Prime Factorization

Notes for March 25th, 2008

Definition- Rectangle
A rectangle is a parallelogram with four right angles.

PROPERTIES
1. Opposite sides are congruent and parallel.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other and are congruent.
5. All four angles are right angles.

Theorems, Postulates, & definitions.

Theorem 8-13: If a parallelogram is a rectangles the diagonals are congruent.
Note: If one angle of a parallelogram is a right angle then the parallelogram is a rectangle.
The Housebuilder Theorem 8-14: If the diagonals of a parallelogram are congruent then the parallelogram are congruent then the parallelogram is a rectangle.
Rhombi and Squares
Theorem 8-15: The diagonals of a rhombus is perpendicular.
Theorem 8-16: If the diagonals of a parallelogram are perpendicular then the parallelogram is a rhombus.

Homework for March 19th.

page 427 numbers 10-35

Geometry Notes, March 19th

Theorems, Postulates, and Definitions.


Theorem 8-8: If two pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorem 8-10: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorem 8-11: If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.


Theorem 8-12: If one pair of opposite sides of a quadrilateral are parellel and congruent, then the quadrilateral is a parrelellagram.

Summary!

A quadrilateral is a parallelogram if any one of the following statements are true.
1. Both pairrs of opposite sides are parrallel. (definition)
2. Both pairs of opposite sides are congruent. (theorem 8-9)
3. Both pairs of opposite angles are congruent (throrem -10)
4. The diagnols bisect each other (theorem 8-11)
5. A pair of opposite sides is both parellel and congruent (theorem 8-12)

Parallelograms in the coordinate plane

• The slope formula can be used to determine if the opposite sides have the same slope.
• The distance formula can be used to see if the opposite sides are congruent or
• The slope and the distance formula ccan be used to determine if one pair of opposite sides is parallel and congruent.