1. Starting fromthe gas station, go straight to the School
Road which is parallel to the Town Hall Road.
2. You will find a Hotel and School alongside of the road.
3. Take your right turn to the Church Road which is
perpendicular to the School Road and parallel to the
Temple Road.
4. You will reach the Treasury and Hotel alongside of the
Road.
5. Take your left turn to the Town Hall Road which is
perpendicular to the Church Road.
6. Go straight and you will find a tree. Dig beside it and you
will find the treasure chest.
7. Where do you think is the treasure chest? Put your mark
on the location that corresponds to your answer.
• What arethe pictures all about?
• Based on the picture can you define
what is parallel?
• What if we extend continuously the
line, will they intersect?
• What is the symbol for parallel?
• If we have a line P that is parallel to
line O, how can we write it using
symbol?
NO
ǁ
P ǁ O
1. What arethe pictures all
about?
2. Based on the pictures, what is
perpendicular line?
3. How many angles can be formed
in a perpendicular line?
4. What is the measure of every
angle?
4
90°
16.
OBJECTIVES
At the endof the discussion, the student should
be able to:
determine the conditions under which lines and
segments are parallel or perpendicular;
identify parallel and perpendicular lines in a
transversal.
17.
Lets have anACTIVITY!
6 groups
Manila paper and marker
Identify 3 conditions for
PARALLEL
Identify 3 conditions for
PERPENDICULAR
3 minutes
18.
The pair ofcorresponding angles are congruent.
The pair of interior angles or exterior angles on
the same side of a transversal are supplementary.
They form four right angles
if the angles in a linear pair are congruent then
the lines containing their side are perpendicular
The pair of alternate interior angles or alternate
exterior angles are congruent.
if two angles are adjacent and complementary,
the non-common sides are perpendicular.
2. If theangles in a linear pair are congruent, then
the lines containing their side are perpendicular
27.
3. If twoangles are adjacent and
complementary, the non-common
sides are perpendicular.
28.
Identify if thegiven lines are
parallel or perpendicular
by determining the Condition of
Parallelism or Perpendicularity.
Choose the letter that corresponds
to your answer.
29.
A. The linesare parallel because the pair of corresponding angles are
congruent.
B. The lines are parallel because the pair of alternate interior angles is
congruent.
C. The lines are parallel because the pair of interior angles on the same
side of a transversal is supplementary.
D. The lines are perpendicular because they form four right angles.
E. If the angles in a linear pair are congruent, then, the lines containing
their sides are perpendicular.
F. If two angles are adjacent and complementary, the non-common sides
are perpendicular.
30.
A. The linesare parallel because the pair of corresponding angles are
congruent.
B. The lines are parallel because the pair of alternate interior angles is
congruent.
C. The lines are parallel because the pair of interior angles on the same
side of a transversal is supplementary.
D. The lines are perpendicular because they form four right angles.
E. If the angles in a linear pair are congruent, then, the lines containing
their sides are perpendicular.
F. If two angles are adjacent and complementary, the non-common sides
are perpendicular.
31.
A. The linesare parallel because the pair of corresponding angles are
congruent.
B. The lines are parallel because the pair of alternate interior angles is
congruent.
C. The lines are parallel because the pair of interior angles on the same
side of a transversal is supplementary.
D. The lines are perpendicular because they form four right angles.
E. If the angles in a linear pair are congruent, then, the lines containing
their sides are perpendicular.
F. If two angles are adjacent and complementary, the non-common sides
are perpendicular.
32.
A. The linesare parallel because the pair of corresponding angles are
congruent.
B. The lines are parallel because the pair of alternate interior angles is
congruent.
C. The lines are parallel because the pair of interior angles on the same
side of a transversal is supplementary.
D. The lines are perpendicular because they form four right angles.
E. If the angles in a linear pair are congruent, then, the lines containing
their sides are perpendicular.
F. If two angles are adjacent and complementary, the non-common sides
are perpendicular.
33.
A. The linesare parallel because the pair of corresponding angles are
congruent.
B. The lines are parallel because the pair of alternate interior angles is
congruent.
C. The lines are parallel because the pair of interior angles on the same
side of a transversal is supplementary.
D. The lines are perpendicular because they form four right angles.
E. If the angles in a linear pair are congruent, then, the lines containing
their sides are perpendicular.
F. If two angles are adjacent and complementary, the non-common sides
are perpendicular.
34.
With your seatmate,collaborate and answer
the following situations.
Discuss your answer together.
35.
1. The boyhas to
exchange his roller
skates at the
corner alternate to
his current
location.
36.
2. The boywant
some frozen yogurt
from the street
corner corresponding
to his current
location , Which
location is this?
37.
3. The boywants a bigger pot for his
giant tomato plant. The gardening
centre is at the exterior alternate
corner to the boy. Where is the
gardening?