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LovebellaC. Jao
DemoTeacher
MECHANICS
The group that will win in a toss coin will
have the right to choose one representative from
the other group to be the opponent of their
chosen representative. Then, I will ask a question.
The first one who can write the answer on the
board earns a point. She/ he will have the right to
choose the next opponent of their next
representative and so on.
Two lines are _________ if and
only if they are coplanar and do
not intersect.
___________ are two angles
whose measures have a sum of
180°.
___________ are two
nonadjacent angles formed by
two intersecting lines.
A line that intersects two or
more lines at different points is
called _______.
These are pair of nonadjacent
exterior angles that are on opposite
sides of a transversal.
This property of real numbers
states that if a+b, b+c, then a+c.
𝐴𝐵 II 𝐶𝐷
Two lines are parallel if and only if they are coplanar
and do not intersect.
𝐸𝐹 intersects 𝐴𝐵 and 𝐶𝐷
𝐸𝐹 Transversal is a line that intersects two or more
lines at different points
1 2
3 4
5 6
7 8
Transversal is a line that intersects two or more
lines at different points
Parallel
lines
transversal
Non-Parallel
lines
transversal
ALTERNATE INTERIOR/EXTERIOR ANGLES
Alternate Interior Angles: Two angles that lie between
parallel lines on opposite sides of the transversal (but not a
linear pair).
Alternate Exterior Angles: Two angles that lie outside
parallel lines on opposite sides of the transversal.
 3 &  6,  4 &  5
 2 &  7,  1 &  8
1 2
3 4
5 6
7 8
Interior
Exterior
Exterior
SAME SIDE
INTERIOR/EXTERIOR ANGLES
1 2
3 4
5 6
7 8
Interior
Exterior
Exterior
Same side angles lies on the same side of the
transversal.
Same Side Interior Angles:
3 and 5, 4 and 6
Same Side Exterior Angles:
1 and 7,
2 and 8
CORRESPONDING ANGLES
Corresponding Angles: Two angles that occupy
corresponding positions.
 2   6,  1   5,  3   7,  4   8
1 2
3 4
5 6
7 8
Group 1 Group 3
Prove: 𝟑 ≅ 𝟔 Prove: 𝟑 ≅ 𝟓 are
supplementary
Group2 Group 4
Prove: 𝟐 ≅ 𝟕 Prove: 𝟏 ≅ 𝟕 are
supplementary
If two parallel lines are cut by a transversal, then
alternate interior angles are congruent.
If two parallel lines are cut by a transversal, then
alternate exterior angles are congruent.
If two parallel lines are cut by a transversal, then
the interior angles on the same side of the
transversal are supplementary.
If two parallel lines are cut by a transversal, then
the exterior angles on the same side of the
transversal are supplementary.
Name the pairs of the following angles formed by a
transversal.
Line M
BA
Line N
D E
P
Q
G
F
Line L
Line M
BA
Line N
D E
P
Q
G
F
Line L
Line M
BA
Line N
D E
P
Q
G
F
Line L
500
1300
LET’S PRACTICE
m<1=120°
Find all the remaining
angle measures.
1
4
2
65
7 8
3
60°
60°
60°
60°
120°
120°
120°
120°
EVALUATION
Find all the missing
angle measures,
and name the
postulate or
theorem that
gives us
permission to
make our
statements.
40°
120°
120°
60°
60°
40°
60°
60°
180-(40+60)= 80°
80°
80°
80°
100°
100°
ASSIGNMENT
In the accompanying figure, 𝐵𝐴 II 𝐶𝐷
and 𝐷𝐸 II 𝐵𝐶. Find the value of x and 3x.
Angles Formed by Parallel Lines Cut by a Transversal

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Angles Formed by Parallel Lines Cut by a Transversal

  • 2. MECHANICS The group that will win in a toss coin will have the right to choose one representative from the other group to be the opponent of their chosen representative. Then, I will ask a question. The first one who can write the answer on the board earns a point. She/ he will have the right to choose the next opponent of their next representative and so on.
  • 3. Two lines are _________ if and only if they are coplanar and do not intersect.
  • 4. ___________ are two angles whose measures have a sum of 180°.
  • 5. ___________ are two nonadjacent angles formed by two intersecting lines.
  • 6. A line that intersects two or more lines at different points is called _______.
  • 7. These are pair of nonadjacent exterior angles that are on opposite sides of a transversal.
  • 8. This property of real numbers states that if a+b, b+c, then a+c.
  • 9.
  • 10. 𝐴𝐵 II 𝐶𝐷 Two lines are parallel if and only if they are coplanar and do not intersect. 𝐸𝐹 intersects 𝐴𝐵 and 𝐶𝐷 𝐸𝐹 Transversal is a line that intersects two or more lines at different points 1 2 3 4 5 6 7 8
  • 11. Transversal is a line that intersects two or more lines at different points Parallel lines transversal Non-Parallel lines transversal
  • 12.
  • 13. ALTERNATE INTERIOR/EXTERIOR ANGLES Alternate Interior Angles: Two angles that lie between parallel lines on opposite sides of the transversal (but not a linear pair). Alternate Exterior Angles: Two angles that lie outside parallel lines on opposite sides of the transversal.  3 &  6,  4 &  5  2 &  7,  1 &  8 1 2 3 4 5 6 7 8 Interior Exterior Exterior
  • 14. SAME SIDE INTERIOR/EXTERIOR ANGLES 1 2 3 4 5 6 7 8 Interior Exterior Exterior Same side angles lies on the same side of the transversal. Same Side Interior Angles: 3 and 5, 4 and 6 Same Side Exterior Angles: 1 and 7, 2 and 8
  • 15. CORRESPONDING ANGLES Corresponding Angles: Two angles that occupy corresponding positions.  2   6,  1   5,  3   7,  4   8 1 2 3 4 5 6 7 8
  • 16.
  • 17. Group 1 Group 3 Prove: 𝟑 ≅ 𝟔 Prove: 𝟑 ≅ 𝟓 are supplementary Group2 Group 4 Prove: 𝟐 ≅ 𝟕 Prove: 𝟏 ≅ 𝟕 are supplementary
  • 18. If two parallel lines are cut by a transversal, then alternate interior angles are congruent. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary.
  • 19. Name the pairs of the following angles formed by a transversal. Line M BA Line N D E P Q G F Line L Line M BA Line N D E P Q G F Line L Line M BA Line N D E P Q G F Line L 500 1300
  • 20. LET’S PRACTICE m<1=120° Find all the remaining angle measures. 1 4 2 65 7 8 3 60° 60° 60° 60° 120° 120° 120° 120°
  • 21. EVALUATION Find all the missing angle measures, and name the postulate or theorem that gives us permission to make our statements. 40° 120° 120° 60° 60° 40° 60° 60° 180-(40+60)= 80° 80° 80° 80° 100° 100°
  • 22. ASSIGNMENT In the accompanying figure, 𝐵𝐴 II 𝐶𝐷 and 𝐷𝐸 II 𝐵𝐶. Find the value of x and 3x.