Download Geometry 7-2 Angle Relationships (Transversals).notebook

Geometry 7­2 Angle Relationships (Transversals).notebook
Angles and Lines
• Students will review the different type of angles.
• Students will user 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)
answer
Point L(1, 3) Point M (3, 4) Point N (5, 3) Point O (4, 1) Point P (2, 1)
1. <1 = 131 < 2 =
< 3 = 131 < 4 =
<5 ­= 131 < 6 =
< 7 = 131 < 8 =
3. Triangle EFG is reflected across the x­axis and translated right 2 units. 2. G Point E (­3, 3) Point F (­2, 5) Point G (0, 2)
(x,y) (x+2,­y)
Title Page
1. Adjacent
2. Alternate Interior
3. Alternate Exterior
4. Corresponding
5. Corresponding
6. Same side interior
7. 110o
8. 84o
9. 80o
10. x = 4
11. x = 7
12. x = 8
13. x = ­6; 90o
14. x = 10; 60o
Warm Up
Practice Answers
Maintain You Skills
1. A
2. B
Practice Answers
Math Humor Practice Worksheet
Cut and tape Labsheet in your journal
3.0
1
120
m<1=_____
o
2
3 4
5 6
7 8
m<2=_____
m<3=_____
m<4=_____
m<5=_____
m<6=_____
m<8=_____
m<7=_____
Which angles are vertical?
Which angles are adjacent?
Which angles are corresponding?
Name two pair of complementary & supplementary angles in the figure.
<1, 4, 5 & 8 = 120
Pull
Find the following measures.
<2, 3, 6 & 7 = 60o
Vertical: 1&4; 2&
Adjacent: 1&2; 2
Corresponding: Complementary <AFB & <BFC <BFC & <EFD
C
B
40o
90o
50o
A
F
D
50o
E
Math Humor
Labsheet
1
Geometry 7­2 Angle Relationships (Transversals).notebook
Have a pet monkey...
or a reindeer? Find a friend and describe any angle type.
Friend Transition
______
Date
Would You Rather?
Angle Relationships
1. What are • vertical ­ angles opposite each vertical & other (always congruent)
adjacent angles?
• adjacent ­ angles are side by side with common vertex adjacent
2
letter v
3
2. 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
50o
40o
4
1
60o
120o
vertical
Notes
Notes
3. How many • a circle is 360o
degrees is a full • the sum of all angles is circle?
360
Practice
Angle
Relationships
Worksheet
What is the degree of angle b?
Notes
Homework
2
Geometry 7­2 Angle Relationships (Transversals).notebook
Closing Questions
Which angles are always congruent? (vertical)
Which angles are next to
one another? (adjacent)
Closing Questions
3