Download - GEO Warm-up: 9/23 and 9/24
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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)
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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
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Mastery Objective
• We will use geometric tools to construct perpendicular and angle bisectors.
• We will also review segment and angle addition problems and questions.
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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
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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.
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Let’s Try Some Constructions
• Let’s start with PERPENDICULAR BISECTOR.
• Now let’s try an ANGLE BISECTOR.
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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.
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Practice Problems
• If DF = 48, find the value of x. Then find DE and EF.
2x + 83x
D FE
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Practice Problems
• If GI = 51, find the value of y. Then find GH and HI.
3y + 22y - 1
G IH
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Practice Problems
• If AC = 63, find the value of z. Then find AB and BC.
3z - 124z - 9
A CB
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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.
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Practice Problems
x
4x
F
B
E
A C
D
Find the value of x. Then find the measure of angle EFD and DFC.
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Practice Problems
(2x + 20)(x + 25)G I
H
J
Find the value of x. Then find the measure of angle GJH and HJI
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Practice Problems
• TE bisects LTV
(3x + 12)
L
T V
E
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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
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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
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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
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Geometric Aerobics!
• Time to get up, be active, and show us some geometric terms!!!
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Geometric Aerobics
•Line•Segment•Angle•Ray
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Geometric Aerobics•Parallel Lines•Perpendicular Lines•Plane•Congruent