ch 4 - pythagorean thm - day 1 - a5.notebook · ch 4 pythagorean thm day 1 a5.notebook 19 february...

25
Ch 4 Pythagorean Thm day 1 A5.notebook 1 February 18, 2015 Feb 1810:26 AM Starter Get out your Ch 12 & 13 Practice Problems WKS so we can check those!

Upload: others

Post on 29-Sep-2020

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

1

February 18, 2015

Feb 18­10:26 AM

Starter

Get out your Ch 12 & 13 Practice Problems WKS so we can check those!

Page 2: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

2

February 18, 2015

Feb 18­11:33 AM

Page 3: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

3

February 18, 2015

Feb 18­11:54 AM

Page 4: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

4

February 18, 2015

Feb 18­12:23 PM

Page 5: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

5

February 18, 2015

Jan 8­1:29 PM

Page 6: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

6

February 18, 2015

Jan 8­1:31 PM

Page 7: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

7

February 18, 2015

Jan 8­1:41 PM

Page 8: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

8

February 18, 2015

Jan 8­1:35 PM

Page 9: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

9

February 18, 2015

Jan 8­1:36 PM

Page 10: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

10

February 18, 2015

Jan 8­1:40 PM

Page 11: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

11

February 18, 2015

Mar 7 ­ 9:31 AM

Example:

Page 12: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

12

February 18, 2015

Jan 19­10:34 AM

Page 13: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

13

February 18, 2015

Jan 8­1:45 PM

Page 14: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

14

February 18, 2015

Jan 19­10:07 AM

** Bearings are a degree measure, not a distance.

Page 15: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

15

February 18, 2015

Jan 19­10:11 AM

How to take a bearing:

Start facing North.  Turn clockwise to face the direction you want to go.  The degree measure you turned is the bearing from where you are to the point you want to get to.

Page 16: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

16

February 18, 2015

Jan 19­10:15 AM

Page 17: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

17

February 18, 2015

Jan 8­1:52 PM

Page 18: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

18

February 18, 2015

Jan 19­10:26 AM

Label the parts of the circle

Center Radius Diameter

Chord Tangent    Secant

Point of tangency4 F Circle Problems

Page 19: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

19

February 18, 2015

Jan 19­10:04 AM

Circle properties (from Geometry)

*The shortest distance between two parallel lines or between a line and a point is a segment perpendicular to the line(s).

*A chord of a circle is a line segment with both endpoints on the circle.

*If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

Page 20: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

20

February 18, 2015

Jan 19­10:39 AM

*A line drawn from the center of a circle at right angles of a chord bisects the chord.  This creates an isosceles  triangle, which can be split into two congruent triangles.

*A tangent to a circle meets the radius at the point of tangency at a right angle.

Page 21: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

21

February 18, 2015

Jan 19­10:42 AM

Page 22: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

22

February 18, 2015

Jan 8­1:56 PM

Page 23: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

23

February 18, 2015

Jan 19­10:43 AM

Pythagorean Theorem and 3D Geometry If in doubt, DRAW IT out!

Page 24: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

24

February 18, 2015

Jan 19­11:20 AM

Page 25: Ch 4 - Pythagorean Thm - day 1 - A5.notebook · Ch 4 Pythagorean Thm day 1 A5.notebook 19 February 18, 2015 Jan 1910:04 AM Circle properties (from Geometry) *The shortest distance

Ch 4 ­ Pythagorean Thm ­ day 1 ­ A5.notebook

25

February 18, 2015

Jan 19­11:23 AM

Assignment:

Review Set 4C