5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

1

November 11, 2013

"Do Now"

1. Grab an Entrance Ticket from Ms. Stalvey

2. Read the new Quote of the Week

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

2

November 11, 2013

Go Over Unit 5 Tests

Progress Reports ­ bring back to get lowest quiz grade dropped!

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

3

November 11, 2013

http://testing.davemajor.net/icecream/

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

4

November 11, 2013

Where is the "Center"?

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

5

November 11, 2013

Unit 6: Relationships in Triangles5.1 ­ Bisectors of Triangles

Date

Concurrent Lines When 3 or more lines intersect at a common point, they are concurrent

Point ofConcurrency

The common point where concurrent lines intersect

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

6

November 11, 2013

Graphic Organizer

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

7

November 11, 2013

Perpendicular BisectorTheorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Converse of Perpendicular Bisector

Theorem

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

8

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

9

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

10

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

11

November 11, 2013

Where could the Circumcenter be located?

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

12

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

13

November 11, 2013

Angle BisectorTheorem

If a point lies on the angle bisector, then it is equidistant from the sides of the angle.

Converse of Angle Bisector

Theorem

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector.

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

14

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

15

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

16

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

17

November 11, 2013

Where could the Incenter be located?

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

18

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

19

November 11, 2013

Median A segment from a vertex to the midpoint of the opposite side

Every triangle has 3 medians.

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

20

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

21

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

22

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

23

November 11, 2013

Where could the Centroid be located?

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

24

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

25

November 11, 2013

Altitude Perpendicular height of a triangle (from one vertex to the opposite side)

Every triangle has 3 altitudes

An altitude could lie within the triangle (acute), on the triangle (right), or outside the triangle (obtuse)

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

26

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

27

November 11, 2013

Where could the Orthocenter be located?

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

28

November 11, 2013

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

29

November 11, 2013

All of my children are bringing in peanut butter cookies!

All of: Altitudes ­ orthocenter

My children: Medians ­ centroid

Are bringing in: Angle bisectors ­ incenter

Peanut butter cookies ­ Perpendicular bisectors ­ circumcenter

Pneumonic to help you remember the centers!

5.1 ­ 5.2 Bisectors of Triangles and Medians of Triangles.notebook

30

November 11, 2013

Tonight's HW:

pg. 329 (12­14)pg. 330 (#24­30 even)

pg. 340 (#5­9 odd, 16­19)