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)