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EVERYDAY
A polygon is a closed-plane figure
bounded by line segments that meet
only at their endpoints.
Polygon
Q: Is this a polygon? Why or why not?
A: No…
Polygons are closed figures.
Q: Is this a polygon? Why or why not?
A: No…
It is not made of line segments.
Q: Is this a polygon? Why or why not?
A: No…
Its sides do not intersect in
exactly two places each.
Are these regular polygons?
Why or why not?
A: No…
These sides are all the different lengths, and the angles are all
different.
Equilateral Polygon
• Equilateral polygon is a polygon whose sides
are all congruent.
Equiangular Polygon
• Equiangular polygon is a polygon whose all
angles are congruent.
Regular Polygons
• Regular polygon is a polygon that is both
equilateral and equiangular.
Irregular Polygon
• Irregular polygon is a polygon whose sides
and angles are not equal.
Naming Polygon and its Parts
A polygon is named using its vertices. The vertices are
points A, B, and C. So, the triangle may be called triangle
ABC, triangle BCA, or triangle ACB.
Sides of triangle ABC are AB ,BC, AC
Interior angles of triangle ABC are BAC, BCA, and
∠ ∠
ABC
∠
For Naming Polygon and its parts:
• Polygons may be named based on the number of sides.
Triangle- it has 3 sides – “tri”
Qudrilateral- has 4 sides – “quad”
Pentagon – has 5 sides – “penta”
Hexagon – has 6 sides –”hexa”
Heptagon – has 7 sides – “hexa”
Octagon – has 8 sides –”octa”
Nonagon – has 9 sides – “nona”
Decagon – has 10 sides – “deca”
ACTIVITY:
COMPLETE THE TABLE BELOW
DAY 2
 Name, describe, and compare regular and
irregular polygons with 5, 6, 8, or 10 sides
based on measurements of sides and angles
A square has 4 sides. A square has 4 equal
sides. All interior angles of a square are equal to
90 degrees.
• Square is one of the regular polygons.
• What do you think is special in square that
makes it regular
polygon?
Regular and Irregular Polygons
• Regular polygon is a polygon that is
both equilateral and equiangular.
• Irregular polygon is a polygon whose
sides and angles are not equal.
The markings mean the same measures of sides
and the other marking in blue means that the
measure of each angle is 90 degrees.
Measure of each interior angles:
Regular Pentagon Regular Hexagon Regular Octagon Regular decagon
108° each 120° each 135° each 144° each
the sum of the interior angles:
for regular and
irregular
pentagon
for regular and
irregular
hexagon
for regular and
irregular
octagon
for regular and
irregular
decagon
540° 720° 1080° 1,440°
DAY 3 -4
Draw polygons with 5, 6, 8, or 10 sides
using a ruler, protractor, and a compass.
Quiz Bee:
1. What do you call a polygon with 6 sides?
HEXAGON
2. What is the sum of the interior angles of
an octagon?
1080°
3. A polygon has 10 sides. What is it called?
DECAGON
4. What is a polygon called if all its sides and
angles are equal?
REGULAR POLYGON
5. What is the measure of each interior angle of
a regular hexagon?
120°
6. What do you call a polygon with 8 sides?
OCTAGON
7. What do you call a polygon with 5 sides?
PENTAGON
8. A polygon has 4 sides. What is it called and how
is it classified if all sides and angles are equal?
Quadrilateral, Regular
(specifically a Square)
9. What do you call a polygon with 7 sides?
PENTAGON
Activity 3: Drawing Polygons
Instructions: Draw each polygon
using your ruler, protractor,
and compass.

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MATHEMATICS 7 WEEK 1 ABOUT CLASSIFICATION OF POLYGON

  • 2. A polygon is a closed-plane figure bounded by line segments that meet only at their endpoints. Polygon
  • 3. Q: Is this a polygon? Why or why not? A: No… Polygons are closed figures.
  • 4. Q: Is this a polygon? Why or why not? A: No… It is not made of line segments.
  • 5. Q: Is this a polygon? Why or why not? A: No… Its sides do not intersect in exactly two places each.
  • 6. Are these regular polygons? Why or why not? A: No… These sides are all the different lengths, and the angles are all different.
  • 7. Equilateral Polygon • Equilateral polygon is a polygon whose sides are all congruent.
  • 8. Equiangular Polygon • Equiangular polygon is a polygon whose all angles are congruent.
  • 9. Regular Polygons • Regular polygon is a polygon that is both equilateral and equiangular.
  • 10. Irregular Polygon • Irregular polygon is a polygon whose sides and angles are not equal.
  • 11. Naming Polygon and its Parts A polygon is named using its vertices. The vertices are points A, B, and C. So, the triangle may be called triangle ABC, triangle BCA, or triangle ACB. Sides of triangle ABC are AB ,BC, AC Interior angles of triangle ABC are BAC, BCA, and ∠ ∠ ABC ∠
  • 12. For Naming Polygon and its parts: • Polygons may be named based on the number of sides. Triangle- it has 3 sides – “tri” Qudrilateral- has 4 sides – “quad” Pentagon – has 5 sides – “penta” Hexagon – has 6 sides –”hexa” Heptagon – has 7 sides – “hexa” Octagon – has 8 sides –”octa” Nonagon – has 9 sides – “nona” Decagon – has 10 sides – “deca”
  • 14. DAY 2  Name, describe, and compare regular and irregular polygons with 5, 6, 8, or 10 sides based on measurements of sides and angles
  • 15. A square has 4 sides. A square has 4 equal sides. All interior angles of a square are equal to 90 degrees. • Square is one of the regular polygons. • What do you think is special in square that makes it regular polygon?
  • 16. Regular and Irregular Polygons • Regular polygon is a polygon that is both equilateral and equiangular. • Irregular polygon is a polygon whose sides and angles are not equal.
  • 17. The markings mean the same measures of sides and the other marking in blue means that the measure of each angle is 90 degrees.
  • 18. Measure of each interior angles: Regular Pentagon Regular Hexagon Regular Octagon Regular decagon 108° each 120° each 135° each 144° each the sum of the interior angles: for regular and irregular pentagon for regular and irregular hexagon for regular and irregular octagon for regular and irregular decagon 540° 720° 1080° 1,440°
  • 19. DAY 3 -4 Draw polygons with 5, 6, 8, or 10 sides using a ruler, protractor, and a compass.
  • 20. Quiz Bee: 1. What do you call a polygon with 6 sides? HEXAGON 2. What is the sum of the interior angles of an octagon? 1080° 3. A polygon has 10 sides. What is it called? DECAGON
  • 21. 4. What is a polygon called if all its sides and angles are equal? REGULAR POLYGON 5. What is the measure of each interior angle of a regular hexagon? 120° 6. What do you call a polygon with 8 sides? OCTAGON
  • 22. 7. What do you call a polygon with 5 sides? PENTAGON 8. A polygon has 4 sides. What is it called and how is it classified if all sides and angles are equal? Quadrilateral, Regular (specifically a Square) 9. What do you call a polygon with 7 sides? PENTAGON
  • 23. Activity 3: Drawing Polygons Instructions: Draw each polygon using your ruler, protractor, and compass.