Download 3.1 Packet - TeacherWeb

Name_________________________
Unit 3.1 – Lines and Angles
1) Go to flippedmath.com
Click here and
select
MyGeometry
2) Click on Semester 1
Unit 3
Open the MyGeometry course
DoDEA Geometry Standard
G.6.4: Prove and use theorems involving the
properties of parallel lines cut by a transversal,
similarity, congruence, triangles, quadrilaterals, and
circles;
G.1.1: Demonstrate understanding by identifying and
giving examples of undefined terms, axioms,
theorems, and inductive and deductive reasoning
Section 3.1
Watch video entitled
“Lines and Angles”
READ pages 140 – 143
of your Geometry Textbook
The flippedmath.com video corresponds to the information presented in
this section of your textbook.
3) HOMEWORK: Complete Unit 3.1
NO LATER THAN
You have class time to complete the video, take notes, and start the
practice and applications. There is also time for asking questions and
clarifying concepts on an individual basis.
USE THIS TIME WISELY TO BE SUCCESSFUL!!! Stay on task.
REMEMBER: In addition to reading your text (pages 140-143) you can
open your online textbook and view the publisher’s lesson videos in
your student resources
E-mail if you have any questions: [email protected]
NAME:___________________ 3.1 Lines and Angles
Parallel Lines:
Skew Lines:
Parallel Planes:
Transversal:
Alternate Interior Angles:
Same-side Interior Angles:
Corresponding Angles:
Alternate Exterior Angles:
TRY THESE: Draw the picture and answer the questions.
Summary:
___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________
3.1 Practice Problems
Directions: Use the diagram to name each of the following. Assume that lines and planes that appear to be
parallel are parallel.
1) a pair of parallel planes
2) all lines that are parallel to 𝐴𝐵
3) all lines that are parallel to 𝐷𝐻
4) two lines that are skew to 𝐸𝐽
5) all lines that are parallel to plane JFAE
6) a plane parallel to 𝐿𝐻
Directions: Identify each pair of angles as corresponding, alternate interior, alternate exterior, or same-side
interior.
7)
8)
9)
10)
11)
12)
Directions: Identify all pairs of each type of angles in the diagram. Name the two lines and the transversal that
form each pair.
13) corresponding angles
14) alternate interior angles
15) alternate exterior angles
16) same-side interior angles
Directions: Determine whether each statement is always, sometimes or never true.
17) Two parallel lines are coplanar
18) Two skew lines are coplanar
19) Two planes that do not intersect are parallel
20) Two lines in intersecting planes are skew
21) A line and a plane that do not intersect are skew
22) Alternate interior angles are on the same side
of a transversal
!
Algebra Review
Solve: −4 = − 8
Solve: 4x + 3 = 17
Factor: −7𝑥 ! − 28𝑥 ! + 42𝑥
Graph: 𝑦 = − 𝑥 − 2
!
!
!
Factor: 𝑘 ! + 7𝑘 − 30
!
Graph: 𝑦 = 𝑥 − 4
!
3.1 APPLICATION and EXTENSION
1) What type of angles are these?
2) What type of angles are these?
3) Graph the lines y = x -1 and y = x + 2 .
4) What type of relationship is there between the two lines?
5) Prove your answer to #4.
6) Graph the equation y = 1 on the coordinate plane.
7) What line is a transversal in the graph?
8) Label all the angles formed by the transversal on the
graph.
9) What pairs of angles are alternate interior angles?
10) Using a protractor, measure one pair of alternate interior angles. What do they measure?
11) Based on your evidence in #9 and #10 what do you think might be true about alternate interior angles when the
transversal crosses parallel lines? Test it out on another pair of alternate interior angles. Does it work?
12) What pairs of angles are same-side interior angles?
13) Using a protractor, measure one pair of same-side interior angles. What do they measure?
14) Bases on your evidence in #12 and #13, what do you think might be true about same-side interior angles when
the transversal crosses parallel lines? Test it out on another pair of same-side interior angles. Does it work?