1

Unit 1 Day 11

Quiz 2

& Notes on Segment and Angle Addition Postulate

(and drawing diagrams)

2

Warm Up! 1) Multiply. (x + 5)(x + 7)

2) Solve for x.

3) Solve for x.

1

6 2

x x

x x

4) AB is a midsegment.Solve for x.

Warm Up continues!!#5 – 7 on

next slide!

3

Warm Up (continued)Express answers as decimals

2 2

2 1 2 1( ) ( )d x x y y

5.

6.

7.

4

Warm Up! 1) Multiply. (x + 5)(x +7)

2) Solve for x.

3) Solve for x.

1

6 2

x x

x x

4) AB is a

midsegment.2 12 35x x

23

x

3x 6x

5

Warm Up (continued)

Dashan is correct.

The triangles are congruent b/c the sides are 3, 3.605, 3.1622

Not equilateral b/c the sides are RS ~ 6.71, ST ~ 9.49, TR ~ 6.71

Express answers as decimals

2 2

2 1 2 1( ) ( )d x x y y

5.

6.

7.

6

Tonight’s HomeworkPacket p. 31-32 Odd

Packet p. 33-34 Even

Finish Notes p. 41

*Write this on your Cover Sheet OR

Agenda OR Take a Picture of it!!!

We’ll come back and discuss questions from last night’s HW after today’s notes, if time allows.

7

Test Reminder!

The Test will be

Monday

09/19/2016!!

8

The Lesson

The word between in Geometry has a special meaning:

a point is between two others if all three points are

collinear (on the same line) and it is “between” the other two.

Example:

1. Is B between A and C?_____

2. Is D between A and C?_____

3. Is E between A and C?_____

Yes.No. D is non-collinear.No. E is non-collinear.

9

Segment Addition Postulate: If three points A, B, and C are collinear and B is between A and C,

then AB + BC = AC.

Example: If AB = 5, and BC = 6, then AC = ________ 11

Be careful! Just because B “looks like” it’s in the middle

doesn’t mean it’s a midpoint! That must be stated in the

problem OR marked in the diagram!!

10

Angle Addition Postulate

If C is in the interior of DAB, then

m DAC m CAB m DAB

35°

30°

65m DAB

Find mDAB, given

mDAC = 30°and

mCAB = 35°

If no diagram is given, ALWAYS draw one first!!

A

D

B

C

11

Practice: Segment Addition Postulate

X = 7 X = -1

If no diagram is given, ALWAYS draw one first!!

12

Day 10 Homework Answersp. 31-32 Even

x = y = 45 x = 20, y = 5y = 5

SASASA SSSASA (if use vertical

& 1 alt. int ) or AAS (if use both

alt. int s)

13

Day 10 Homework Answers

Area = 37

x = 3.5y = 24x = 1/2

2.

14

Day 10 Homework1. x = 9, y = 75, z = 70

3. Translate down 6 units

(x, y) (x, y – 6)

5. ADE ~ ACB

7. x = 40

9. 75 units

11. x = 3, y = 17.5

13. x = 9, y = 7.5

15. 180˚ Rotation about the origin

17. Translation to the left

19. Perimeter = 46 units

15

Segment Addition Postulate Practice

up next, if Time allows (finish tonight for HW)!!

16

Practice: Segment Addition PostulateContinued…

DE=11 AC=18

X=15 CE=14

Solve for the requested values.

Solve for x.

17

Tonight’s HomeworkPacket p. 31-32 Odd

Packet p. 33-34 Even

Finish Notes p. 41

*Write this on your Cover Sheet OR

Agenda OR Take a Picture of it!!!

We’ll come back and discuss questions from last night’s HW after today’s notes, if time allows.