geometry 7-1 parallel lines and transversals bpw 3.5a.notebook
TRANSCRIPT
Geometry 71 Parallel Lines and Transversals BPW 3.5a.notebook
1
Title Page
Angles and Lines• Students will use parallel lines cut by a transversal to
find angle measurements.• Students will use vertical angles to prove congruency.
TEKs8.8A 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
Warm Up
Butterflies, Pinwheels and WallpaperGeometry
Identify the coordinates of the new vertices after the transformations.1. Parallelogram ABCD is rotated
counterclockwise 90o. Point A (4, 3) Point B (1, 3) Point C (0, 1) Point D (5 1)
2. Pentagon LMNOP is rotated 180 o.
Point E (3, 3) Point F (2, 5) Point G (0, 2)
3. Triangle EFG is reflected across the xaxis and translated right 2 units.
Point L(1, 3) Point M (3, 4) Point N (5, 3) Point O (4, 1) Point P (2, 1)
(x,y) (x,y)
(x,y) (x,y)
(x,y) (x+2,y)
1.
2.
3.
answer
Feb 2111:29 AM Math Humor
Two wrongs don’t make a right,
Math Humor
but two rights make a straight angle
90o90o
180o
Introduction
Angles in Real Life
Labsheet
1 2 3 4
5 6 7 8
1. Color the alternate interior and exterior angles
2. Color the consecutive interior and exterior angles
3. Color the corresponding angles four colors
Help SectionAngles Parallel Lines and Transversal
Geometry 71 Parallel Lines and Transversals BPW 3.5a.notebook
2
Activity
Properties of Transversals to Parallel Lines
Labsheet
3.0
1 23 4
5 67 8
Find the following measures.m<1=_____m<3=_____ m<4=_____m<5=_____ m<6=_____m<7=_____ m<8=_____
m<2=_____
Which angles are vertical?Which angles are adjacent?Which angles are corresponding?
Name two pair of complementary & supplementary angles in the figure.
BC
D
E
F90o
40o
50o50oA
120o
Cut and tape Labsheet in your journalPull
Pull
<2, 3, 6 & 7 = 60o<1, 4, 5 & 8 = 120o
Complementary <AFB & <BFC <BFC & <EFD
Vertical: 1&4; 2&3; 5&8; 6&7
Adjacent: 1&2; 2&4; 4&3; 3&1; 5&6; 6&8; 8&7; 7&5
Corresponding: 1&5; 2&6; 4&8; 3&7
Friend Transition
Find a friend and them what a transversal is.
Would You Rather?
or an astronaut?
Be a deep sea diver...
Notes
• a line that intersects a set of parallel lines
• forms 8 angles
1. What is a transversal?
Parallel Lines and TransversalsDate______
• Alternate Angles (opposite)
• Consecutive Angles (same side)
• Corresponding Angles
~interior (inside) ~exterior (outside)
~co-interior angles (inside)
~matching places
Notes
2. What are vertical & adjacent angles?
• vertical angles opposite each other (always congruent)
• adjacent angles are side by side with common vertex
1
2
vertical
letter v
4
3
adjacent
Geometry 71 Parallel Lines and Transversals BPW 3.5a.notebook
3
Notes
3. What are complementary & supplementary angles?
• complementary 2 angles together equal 90o
• supplementary 2 angles together equal 180o
• do not have to be next to each other
50o
40o
It is right to complimentsomeone!
60o 120o
Activity Simon Says
Activity Simon SaysPlay “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. actute angle 2. obtuse angle 3. straight angle4. supplementary angles 5. vertical angles 6. adjacent angles7. complementary angles 8. right angle 9. intersecting lines10. perpendicular lines 11. parallel lines 12. skew lines
Homework
BeautifulBeautiful
Practice
Parallel Lines Worksheet
Closing Questions
Closing Questions
Which angles are next toone another?
Which angles are always congruent?
(vertical)
(adjacent)