Mathematics 7 Quarter 3. Parallel lines cut by a transversal

3. How are you
today?

5. Do you
remember me?

6. REARRANGE
THE JUMBLED
LETTERS

7. ALENG
IRPAS

8. ANGLE
PAIRS

9. LIARNE
PASIR

10. LINEAR
PAIRS

11. AACEDJNT
GLEANS

12. ADJACENT
ANGLES

13. SLEMUPPARENTY
ANESGL

14. SUPPLEMENTARY
ANGLES

16. 1. Identify whether the line is a transversal or
not;
2. Name the pairs of angles formed if it is
alternate interior angles, alternate exterior
angle and corresponding angles, same side
interior angles; and same side exterior angles;
and
3. Appreciate transversal line in daily living.

17. Transversal
is a line that intersects
two or more parallel
lines at different
points.

18. a b
c
d
e f
g
h
Transversal
𝑙1
𝑙2
Parallel Lines
is a line that intersects two
or more coplanar lines at
different points.

19. Angles c,d,e
& f are called
interior
angles.
a b
c
d
e f
g
h
Supplementary c d
+
= 1800
Linear Pair

20. Angles a,b,h
& g are called
exterior
angles.
a b
c
d
e f
g
h
Supplementary a b
+
= 1800
Linear Pair

21. 1st Property of Parallel
Lines Cut by a Transversal
If two parallel lines are cut by a
transversal, then each pair
of alternate- exterior angles are
congruent.

22. ∠a and ∠g
∠b and ∠h
a b
c
d
e f
g
h
(≅)
(≅)
∠b = 400
∠h=? 400

23. 2nd Property of Parallel
Lines Cut by a Transversal
If two parallel lines are cut by a
transversal, then each pair of
alternate- interior angles are
congruent.

24. a b
c
d
e f
g
h
∠c and ∠e
∠d and ∠f
(≅)
(≅)
∠c = 1400
∠e=? 1400

25. 3rd Property of Parallel
Lines Cut by a Transversal
If two parallel lines are cut by a
transversal, then each pair of
interior angles on the same side
of transversal are supplementary.

26. ∠c and ∠f
∠d and ∠e
a b
c
d
e f
g
h
Supplementary
c f
+
= 1800

27. 4th Property of Parallel
Lines Cut by a Transversal
If two parallel lines are cut by a
transversal, then each pair of
corresponding angles are
congruent.

28. ∠a and ∠e
∠b and ∠f
a b
c
d
e f
g
h
(≅)
(≅)
∠a = 1400
∠e=? 1400

29. ∠c and ∠g
∠d and ∠h
a b
c
d
e f
g
h
(≅)
(≅)

34. 1. ∠3 and ∠6
2. ∠1 and ∠8
3. ∠1 and ∠5
4. ∠3 and ∠5
5. ∠1 and ∠7
1 2
4
3
5 6
8
7
Name each pair of angles:

35. 1. ∠3 and ∠6 1 2
4
3
5 6
8
7
Alternate
Interior
Angles

36. 2. ∠1 and ∠8 1 2
4
3
5 6
8
7
Alternate
Exterior
Angles

37. 3. ∠1 and ∠5 1 2
4
3
5 6
8
7
Corresponding
Angles

38. 4. ∠3 and ∠5 1 2
4
3
5 6
8
7
Interior Angles
Same side of
the transversal

39. 5. ∠1 and ∠7 1 2
4
3
5 6
8
7
Exterior
Angles Same
side of the
transversal

40. 5. ∠1 and ∠7 1 2
4
3
5 6
8
7
Exterior
Angles Same
side of the
transversal

41. The world is composed of
differences. Like in parallel
lines, we are might opposite
with one another but the
transversal people(friends)
keep us connecting with one
another.

43. Let us study the situation
below.
Michael is a friendly student, he
wants to be connected to
everybody so that he makes
himself belong.

44. Written work
no. 4

45. Identify the following
figures whether they
transversal or not
transversal. Write T for
TRANSVERSAL and NT for
NOT TRANSVERSAL

47. Assignment:
Let us apply your skill in
DIFFERENT SUBJECTS. Make a
reflection about the story that
applies your skill on your
subjects like ESSAY in
ENGLISH, POSTER in ARTS,
Lyrics in MUSIC and the like.

48. Let us pray..