POLYGONS

2. – A POLYGON WHERE ALL
INTERIOR ANGLES ARE
LESS THAN 180 DEGREES,
AND NO VERTICES POINT
INWARD.
Convex Polygon

3. CONVEX POLYGON

4. NON-CONVEX POLYGON
– a polygon that has at least
one interior angle greater than
180 degrees.This type of
polygon has at least one vertex
that points inward.

5. NON-CONVEX POLYGON

6. IDENTIFY THE FOLLOWING FIGURE IF IT IS
POLYGON OR NOT POLYGON, IF IT IS
POLYGON CLASSIFY IT AS CONVEX OR NON-
CONVEX
Polygon -
Convex
Polygon -
Non-Convex
Polygon -
Non-Convex
Not Polygon Polygon -
Convex

7. ANGLE PAIRS
=
50
= 40
=
4
0
= 50
∠A + ∠B =
50 = 90
∠A + ∠B =
40 = 90

8. ANGLE PAIRS
= 100
= 80
= 100
= 80
∠A + ∠B =
100 = 180
∠A + ∠B =
100 = 180

9. ANGLE PAIRS
1. Complementary angles –
two angles whose
measures add up to 90
degrees.
Adjacent Angles

10. ANGLE PAIRS
2. Supplementary angles –
two angles whose
measures add up to 180
degrees.

11. ANGLE PAIRS
3. Adjacent Angles – two angles that
share a common side and a
common vertex, and do not overlap.
They are next to each other.

12. ANGLE PAIRS
4. Linear Pair – a pair of adjacent
angles formed when two lines
intersect.The angles in a linear
pair add up to 180 degrees.
Both Adjacent
and
Supplementary

13. ANGLE PAIRS
5. Vertical Angles – pairs of
opposite angles made by two
intersecting lines. These
angles are always equal to
each other.

14. Adjacent
Angles
Linear Pair
Linear Pair
Vertical Angles
Complementary Angles
Vertical Angles
Adjacent
Angles
Complementary Angles
Adjacent
Angles
Linear Pair
Linear Pair
Vertical
Angles
Supplementary Angles

15. ANGLE PAIRS
Pair of Adjacent Angles
∠ 𝑨𝑺𝑬∧∠𝑬𝑺𝑳
∠ 𝑬𝑺𝑳∧∠ 𝑳𝑺𝑮
∠ 𝑳𝑺𝑮∧∠𝑮𝑺𝑵
∠ 𝑨𝑺𝑵∧∠ 𝑵𝑺𝑮
∠ 𝑨𝑺𝑳∧∠ 𝑳𝑺𝑮

16. ANGLE PAIRS
LINEAR PAIR
∠ 𝑨𝑺𝑵∧∠ 𝑵𝑺𝑮
∠ 𝑵𝑺𝑨∧∠ 𝑨𝑺𝑳
∠ 𝑵𝑺𝑮∧∠ 𝑳𝑺𝑮
∠ 𝑨𝑺𝑬∧∠𝑬 𝑺𝑮
∠ 𝑨𝑺𝑳∧∠ 𝑳𝑺𝑮
∠ 𝑵𝑺𝑬∧∠ 𝑬 𝑺 𝑳

17. ANGLE PAIRS
VERTICAL ANGLES
∠ 𝑨𝑺𝑵∧∠ 𝑳𝑺𝑮
∠ 𝑵𝑺𝑮∧∠ 𝑨𝑺𝑳

18. ANGLE PAIRS
LINEAR PAIR
𝑰𝒇 𝒎∠ 𝑵𝑺𝑨=𝟕𝟓°
m 10

19. ANGLE PAIRS
VERTICAL ANGLES
𝑰𝒇 𝒎∠𝑮𝑺𝑳=𝟓𝟕°
m 57