Download Geometry 7-1 Parallel Lines and Transversals BPW

Geometry 7­1 Parallel Lines and Transversals BPW 3.5a.notebook
Angles and Lines
• Students will use parallel lines cut by a transversal to find angle measurements.
• Students will use vertical angles to prove congruency.
TEKs
8.8A ­ Write one­variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants 8.8C ­ Model and solve one­variable equations with variables on both sides of the equal sign that represent mathematical and real­world problems using rational number coefficients and constants 8.8D ­ Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle­angle criterion for similarity of triangle Geometry
Butterflies, Pinwheels and Wallpaper
Identify the coordinates of the new vertices after the transformations.
(x,y) (x,­y)
1. Parallelogram ABCD is rotated counterclockwise 90 o. Point A (­4, 3) Point B (1, 3) Point C (0, 1) Point D (­5 1)
2. Pentagon LMNOP is rotated 180 o. (x,y) (­x,­y)
Point L(1, 3) Point M (3, 4) Point N (5, 3) Point O (4, 1) Point P (2, 1)
answer
1. 2.
3. Triangle EFG is reflected across the x­axis and translated right 2 units. 3.
Point E (­3, 3) Point F (­2, 5) Point G (0, 2)
(x,y) (x+2,­y)
Title Page
Warm Up
Math Humor Two wrongs don’t make a right, 90o
180
Feb 21­11:29 AM
90o
o
but two rights make a straight angle
Math Humor
Angles ­ Parallel Lines and Transversal
Help Section
1. Color the alternate interior and exterior angles 3
2. Color the consecutive interior and exterior angles Angles
in
Real Life
3. Color the corresponding angles four colors
Introduction
7
1 2
4
5 6
8
Labsheet
1
Geometry 7­1 Parallel Lines and Transversals BPW 3.5a.notebook
Properties of Transversals to Parallel Lines
Cut and tape Labsheet in your journal
3.0
Vertical: 1&4; 2&3; 120
m<1=_____
m<2=_____
m<4=_____
Adjacent: 1&2; 2&4
m<5=_____
m<6=_____
Corresponding: 1&5
m<7=_____
m<8=_____
Complementary <AFB & <BFC <BFC & <EFD
o
Which angles are vertical?
Which angles are adjacent?
Which angles are corresponding?
Name two pair of complementary & supplementary angles in the figure.
<2, 3, 6 & 7 = 60o
m<3=_____
1 2
3 4
5 6
7 8
<1, 4, 5 & 8 = 120o
Pull
Find the following measures.
C
B
40o
90o
50o
A
F
D
50o
E
Activity
Labsheet
Be a deep sea diver...
or an astronaut? Find a friend and them what a transversal is.
Friend Transition
______
Date
Parallel Lines and Transversals
1. What is a • a line that intersects a set transversal?
of parallel lines
•
Would You Rather?
2. What are • vertical ­ angles opposite each vertical & other (always congruent)
adjacent angles?
• adjacent ­ angles are side by side with common vertex adjacent
forms 8 angles
2
• Alternate Angles (opposite)
~interior (inside)
~exterior (outside)
• Consecutive Angles (same side)
~co-interior angles (inside)
• Corresponding Angles letter v
1
3
4
vertical
~matching places
Notes
Notes
2
Geometry 7­1 Parallel Lines and Transversals BPW 3.5a.notebook
3. What are • complementary ­ 2 angles complementary together equal 90o
& supplementary angles?
• supplementary ­ 2 angles together equal 180o
It is right to compliment
someone!
•
do not have to be next to each other
Activity ­ Simon Says
Play “Simon Says?” Have students work in groups of 4 & each group has 2 meter sticks. Use rules of “Simon Says” ask students to demonstrate:
1.
4.
7.
10.
actute angle
2.
supplementary angles 5.
complementary angles 8.
perpendicular lines
11.
obtuse angle
vertical angles
right angle
parallel lines
3.
6.
9.
12.
straight angle
adjacent angles
intersecting lines
skew lines 50o
40o
60o
120o
Notes
Activity ­ Simon Says
Practice
Parallel Lines
Worksheet
Beautiful
Homework
Closing Questions
Which angles are always congruent? (vertical)
Which angles are next to
one another? (adjacent)
Closing Questions
3