The document provides an introduction to a math class on parallel lines and lines intersected by a transversal. It includes examples of parallel lines in real life, definitions of key terms like parallel planes, transversals, and the different types of angles formed when parallel lines are cut by a transversal. Students are instructed to identify examples of parallel lines in and outside the classroom and discuss how parallelism appears in daily life. The lesson concludes with exercises coloring examples, classifying angles, and measuring angles to reinforce the concepts learned.

1. MATH
CLASS
Welcome to
our
with your student-teacher
Charles Ian V. Arnado

3. Guess what!
The teacher prepared 3 pictures
of real-life instances which
everybody can encountered to
which is related to the previous
topic. The task of the learner is to
identify it whether it shows a
PARALLEL LINE, INTERSECTING
LINE, SKEW LINE.

4. Parallel line
Let’s Start!
Intersecting Line Skew Lines
-Two lines that are not in
the same plane are skew
if they do not intersect
- In geometry, parallel lines can
be defined as two lines in the
same plane that are at equal
distance from each other and
never meet.
-Lines and line segments
are considered intersecting
lines when they cross each
other at one single point.

5. The shelves of a bookcase are
examples of parts of planes.
The shelves are the same
distance apart at all points, and
do not appear to intersect.
In geometry, planes that do not
intersect are called Parallel plane.
FOLLOW UP!
Can a plane be a parallel?

6. Let's Warm
UP!
Boggle guess the word!
P L
L A
R
A E
L
S L
I
E N
T R N
A V S
R E
A
L S
PARALLEL LINE
S
TRANSVERSAL

7. PARALLEL LINE
CUT BY
TRANSVERSAL

8. #1 #2
#3
Objectives
Ilustrate parallel
lines and parallel
lines cut by
transversal.
Identify
different pair of
angles when a
parallel line cut
by a transversal
line.
Relate and connect
the gained
knowledge about
parallelism as main
concept of the topic
in real life.

9. Transversal - In a plane, a line is a
transversal if it intersects two or
more lines, each at a different
point.
In geometry, a line, line segment,
or ray that intersects two or more
lines at
different points is called a
TRANVER
SAL

10. Line AB is an example of a
transversal, it intercepts lines
l and m.
TOPIC
2
1 2
3
4
5 6
8 7

11. The region between the lines
is referred to as the interior.
The two regions not between
the lines is referred to as the
exterior.
3 REGIONS
FORMS OUT OF
TWO PARALLEL
LINES.
Exterior
Interior
Exterior

12. Interior angles lie between the two lines.
Exterior angles lie outside the two lines.
Alternate Interior angles are on the opposite
sides of the transversal.
Alternate Exterior angles are on the opposite
sides of the transversal.
Consectutive Interior angles are on the same side
of the transversal.
Corresponding Angles a pair of non- adjacent
interior and exterior angles on the same- side of
transversal.
Same-Side Interior Angles- interior angles on the
same- side of transversal
ANGLES FORMED
BY TRANSVERSAL

13. 1. The corresponding angles
are congruent.
2. The alternate interior
angles are congruent.
3. The same side interior
angles are supplementary.
WHEN TWO PARALLEL
LINES ARE CUT BY
TRANSVERSAL;

14. > You can roam inside and outside the classroom or in
any instances you see that represents a parallel line or a
parallel plane. Do it with your pair. Present your output
to the class after 3 minutes.
Think-Pair-Share!
Questions:
-Did you find any difficulty in finding objects inside and
outside the classroom or any instances you’ve encountered
representing a parallel line or a parallel plane?
-Would you believe that these parallel lines could add
beauty to our environment or surroundings? How do you
say so?

15. .
VOCABULARY COLORING
GUIDE!
Group Activity!
Direction: the figure shows a parallel line cut by a transversal, you must need to do is colorized a
pair of angles which as alternate interior angles, alternate exterior angles, corresponding angles,
same sizes interior angles and same size exterior angles.

16. VALUING!
In our discussion, we have discussed the pairs of
angles form by a parallel cut by transversal.
You have noticed that the concept of parallel line is a
major part of our lesson.
Can you site some situation or instances which
involve the important concepts of parallelism
common to your surroundings?
In the deeper aspect, how could we apply the basic
concept of parallelism in our daily living?

17. Today I learned that . . .
I realized that . . .
SENTENCE
COMPLETION!

18. Direction: Classify all angles shown in
the figure as alternate interior angles,
alternate exterior angles, and
corresponding angles. List the pair of
angle in the table provided.
SHORT
QUIZ!

19. Direction: Draw a parallel line
cut by a transversal and use
protractor to measure the
following.
1. Alternate interior angles
2. alternate exterior angles
3. Corresponding angles
HOMEWOR
K