SETUP DIRECTIONS

Please take out Assignment Calendar, and

Copy Tonight’s HW

Materials on your desk:Drill Sheet, Pencil, Foldable, Last Night’s

Homework (ws 1-5)

Begin your drill! (located on the front table)

GEO Warm-up: 9/23 and 9/24Name: ____________________Date: ____________ Pd: _____

1) Use the following picture to answer the following questions: a) What is ?

b) Find the value of x.

c) Find .

d) Find .

2) Remember back to last class, give the best vocabulary word describing the following angles or sides.

a) and are?

b) If = 108°. Find the remaining angles in the picture!

3) If RS = 3x + 1, ST = 2x - 2, and RT = 64. Find the value of x and each segment.

(3x + 45)(12x - 15)

A B

D

C

ACBm

BCDm

ACDm

B

A

DE

C

ABCm EBDm

ABCm

R TS

Mastery Objective

• We will use geometric tools to construct perpendicular and angle bisectors.

• We will also review segment and angle addition problems and questions.

Agenda• Copy HW/Drill• Last Call on Missing HW

Assignments TODAY IS THE LAST DAY FOR MISSING ASSIGNMENTS ON PROGRESS REPORT #1.

• Perpendicular Bisector Construction

• Angle Bisector Construction• Segment and Angle Addition

Review• Summary• Geometry Aerobics

Constructions

• When it tells us to construct a figure, you MUST use a compass.

A compass is a geometric tool used to construct angles, arcs, copy lines, and

drawing circles.

Let’s Try Some Constructions

• Let’s start with PERPENDICULAR BISECTOR.

• Now let’s try an ANGLE BISECTOR.

Reviewing Segment and Angle Addition

• Things to remember: – Step 1: Always label your picture.– Step 2: Then write an equation. – Step 3: Then solve the equation. – Step 4: Plug your values into your segment or

angle lengths.

Practice Problems

• If DF = 48, find the value of x. Then find DE and EF.

2x + 83x

D FE

Practice Problems

• If GI = 51, find the value of y. Then find GH and HI.

3y + 22y - 1

G IH

Practice Problems

• If AC = 63, find the value of z. Then find AB and BC.

3z - 124z - 9

A CB

Practice Problems

(4y)

(3y + 15)

O R

PQ

If the measure of angle POR is 120°. Find the value of y. Then find the measure of angle POQ and QOR.

Practice Problems

x

4x

F

B

E

A C

D

Find the value of x. Then find the measure of angle EFD and DFC.

Practice Problems

(2x + 20)(x + 25)G I

H

J

Find the value of x. Then find the measure of angle GJH and HJI

Practice Problems

• TE bisects LTV

(3x + 12)

L

T V

E

GEO Exit Ticket: 9/23 and 9/24 Name: ____________________Date: ____________ Pd: _____

1) What are 2 questions you still have about anything we have talked about thus far?

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

2) What are 2 things you understand completely?

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

*Things we have talked about: - Patterns - Angle Addition- Definitions - Good Definitions- Symbols - Constructions- Notations- Segment Addition

Quiz: 1-1 to 1-5 Tools of GeoName: ____________________Date: ____________ Pd: _____

1) If GO = 48, GE = 4x + 3, EO = 2x – 15. Find the value of x, the length of GE and EO. (Make sure to label the picture and show your equation!)

2) Find the value of x, the and

G H R U

DJ

A

PJ

S M

H Kp

G OE

(5x - 10)

(6x + 8)

S

T D

U

UTDmSTUm

Turn me over, there are more quiz problems on the back

Quiz: 1-1 to 1-5 Tools of GeoName: ____________________Date: ____________ Pd: _____

3) Find the value of x, the and the

4) BD bisects

G H R U

J

A

B

C

W

PJ

S M

H K

w

pM

(5x + 5)2x

C S

B

H

CHBm SHBm

ABC

BONUS:Who founded the following sequence?

0, 1, 1, 2, 3, 5, 8, 13, 21______________________________

(5x + 5)

A

B C

D

Geometric Aerobics!

• Time to get up, be active, and show us some geometric terms!!!

Geometric Aerobics

•Line•Segment•Angle•Ray

Geometric Aerobics•Parallel Lines•Perpendicular Lines•Plane•Congruent