Unit 4: Polydons, Linear fns, and Transformations

GT Geometry
Oct 14- Nov 8, 2014
Date
Topic
Tuesday
10/14
Test:
Wed
10/15
Thursday
10/16
Friday
10/17
PSAT AND PLAN ACT FOR FRESHMEN
3-5 The Polygon Angle-Sum Theorems
QUIZ P: WS CLASS PRACTICE
Finding Angles in Triangles and Polygons (cont’d).
Class Practice from regent. com:
http://regentsprep.org/Regents/math/geometry/GG3/PPoly1.htm.
Monday
10/20
3-6 Writing equations of lines (slope intercept, point-slope,
standard forms). Practice: regent.com -
Homework
Read Pages 157-160 and define the
following terms: Polygon, Convex
polygon, Concave polygon, and
Regular Polygon
Start :worksheet writing equations (115)
Pg 161 #8-27;32-36;38-44; 47-53
Worksheet: Finding Angles in
triangles
END of 1st 9 Weeks
HW: page 169 # 1- 36 (odd)
http://regentsprep.org/Regents/math/ALGEBRA/AC1/PracLine.ht
m. Do 1-37 (even) in class as examples.
Tuesday
10/21
Wed
10/22
Writing Equations (cont’d)
Quiz: Polygons and finding angles in triangles
HW: WS writing equations # 1 – 19.
( FROM WED 10/15)
3-7 Slopes of Parallel and perpendicular Lines
Obj: write equations of parallel and perpendicular lines
Practice: EARLY DISMISAL
HW: Page 178 #12-15; 20-23; 39, 45,
46, 48, 49, 50. EARLY DISMISAL
http://regentsprep.org/Regents/math/ALGEBRA/AC3/pracParallel.
htm.
Thurs
10/23
Fri
10/24
Write and graph equation of lines after a transformation:
Reflection, Translation, Rotation, and effect of change in m & b.
9-1 translations (begin TRANSFORMATION unit today)
Mon
10/27
9-1 Translations (cont’d).
9-2 reflections
WS.
Hw: Read pages 470-472 and answer
questions # 1-10 on Page 473
Hw: Page 473 # 11-14; 16-23; 25-29;
31-33; 35
Quiz: writing equation of lines
Tuesday
10/28
Wed
10/29
Thurs
10/30
Fri
10/31
9-2 Reflections (cont’d). Plus class practice:
http://regentsprep.org/Regents/math/geometry/GT1/Prac1.htm.
9-3 Rotations. Test Review on polygons and equations of lines
Hw: p. 480 1-13, 16-22, 24, 25; 28-31,
34, 36, 46, 51-52)
Test:: Polygons and linear functions
p. 485 (1-9 odd, 10-19 all, 27-31, 34,
35, 45-47)
HW: p. 500 (1-14, 18-24 even, 42, 43,
47, 48, 54-61). WS-Dilations Practice
9-5 Dilations. Assign Transformation Project
(Due Wed. Nov 5)
Study for Test.
Http://regentsprep.org/Regents/math/geometry/GT4/PracRot.htm.
Mon
11/3
Tue
11/4
Wed
11/5
Thurs
11/7
Fri
11/8
9-6 Compositions of Reflections, and
9-7 Tessellations .p. 514 (5-10) in class
Quiz: 9-1 to 9-3.
9-4 Symmetry.
http://regentsprep.org/Regents/math/geometry/GT1a/PracRot.htm.
Review transformations
Test: Transformations
p. 509 (1-3, 10-27, 30, 35-45)
Read and do WS-Tessellations
Workbook Practice 9-4
Study for Test. Transformation Project
Due
Read Pages 366-367. Do Page 368 #
1 to 20 (all)
NAME__________________________________DATE___________________PER.________
INTERIOR AND EXTERIOR ANGLES OF POLYGONS
For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of
each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle.
1. a)______ b)________
A pentagon
c)______ d)________
2. a)______ b)________
A hexagon
c)______ d)________
Find the value of ‘x’ in each of the following.
3. x = ____________
105
(6x-58)
85
x
(2x+4)
126
5x
114
For each of the following polygons, find: a) the measures of each interior angles and exterior angles.
4. a)____________
A 10-sided polygon
b)____________
5. a)________ b)______
A 14-sided polygon
6. n = ____________
The measure of one interior angle of a regular polygon is 144. Find the number of sides
of the polygon.
7. n = ____________
The measure of one exterior angle of a regular polygon is 24. Find the number of sides
of the polygon.
8. n = ____________
The measure of one exterior angle of a regular polygon is 18. Find the number of sides
of the polygon.
Geometry Pre AP: Name______________________ Date___________Period_______
Equations.
Find the equation of the line.
1. 6 units below and parallel to the x-axis
2. perpendicular to the x-axis and passing
through (8, 1)
3. y-intercept of 2 and slope of 4
4. slope of 5 and passes through (0, -2)
5. parallel to y = 10x – 6 and y-intercept of 1.
6. Perpendicular to 2y = x + 16 and passes
through (0, -5)
7. y-intercept of 2 and perpendicular to the
line containing (-4, 6) and (1, 11)
8. containing (2, 1) and (3, 4)
9. containing (-6, 3) and (2, -1)
10. containing (1, 5) and (-3, 5)
11. having x-intercept of 2 and slope of 7
12. having x-intercept of 3 and passing
through (1, 8)
13. passing through (-3, 6) and (-3, 10)
14. passing through (8, 7) and perpendicular to
3y = -2x + 24
16. If P = (-2 5) and R = (0, 9), find the
15. CD is perpendicular to 2x + 3y = 8. If C
has coordinates (1, 4), find the equation of CD . equation of the perpendicular bisector of PR .
Given A(2, 1), B(16, 3), and C(4, 12):
17. Find the equation of a line 18. Find the equation of the
through C parallel to AB .
perpendicular bisector of AB .
19. Find the slope of the line
joining the midpoints of AC
and BC .
Geometry Worksheet – Measuring Angles in Triangle (Triangle Sum & Exterior Angle Theorem)
Part 1
Geometry Worksheet: Name________________________Date____________Period____
You can use algebra to solve problems involving triangles.
Example: In triangle ABC, m  A is twice m  B, and m  C is 8 more than m  B. What is the
measure of each angle?
Write and solve an equation. Let x = m  B.
m  A + m  B + m  C = 180
2x + x + (x + 8) = 180
4x + 8 = 180
4x = 172
x = 43
So, m  A = 2(43) or 86, m  B = 43, and m  C = 43 + 8 or 51.
Solve each problem.
1. In ∆DEF, m  E is three times m  D, and m 2. In ∆RST, m  T is 5 more than m  R, and m
 F is 9 less than m  E. What is the
 S is 10 less than m  T. What is the
measure of each angle?
measure of each angle?
3. In ∆JKL, m  K is four times m  J, and m
 L is five times m  J. What is the
measure of each angle?
4. In ∆XYZ, m  Z is 2 more than twice m  X,
and m  Y is 7 less than twice m  X. What
is the measure of each angle?
5. In ∆GHI, m  H is 20 more than m  G, and
m  G is 8 more than m  I. What is the
measure of each angle?
6. In ∆ MNO, m  M is equal to m  N, and m
 O is 5 more than three times m  N.
What is the measure of each angle?
7. In ∆ STU, m  U is half m  T, and m  S is
30 more than m  T. What is the measure
of each angle?
8. In ∆ PQR, m  P is equal to m  Q, and m 
R is 24 less than m  P. What is the
measure of each angle?
Part 2
Using what you know about angles in triangles, parallel lines, and other angle relationships, find the missing
angles in each of the following problems. *Hint – look at ALL of the ’s in the diagram.*
1.
2.
a = _______ b = _______
a = _______ b = _______
c = _______ d = _______
c = _______ d = _______
e = _______
e = _______ f = _______
a
g = _______ h = _______
b
e
a
34
c
d
d
g
h
e
b
26
42
3.
f
c
p
a = _______ b = _______
s
c = _______ d = _______
e = _______ f = _______
g = _______ h = _______
k = _______ m = _______
p = _______ r = _______
s = _______
a
b
c
k e
143 r
85
d
m
h
g f
48
4.
a = _______ b = _______
a
c = _______ d = _______
j
e = _______ f = _______
g = _______ h = _______
g b
j = _______ k = _______
e m
c
m = _______
h
k
74 d
f
5.
a = _______ b = _______
c = _______ d = _______
e = _______ f = _______
b
a
hgk
g = _______ h = _______
k = _______ m = _______
n = _______
c 72
e m
f
d
n

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