1.61.6 Classify Polygons
Bell Thinger
1. Draw an acute angle and shade the interior.
2. Find the measure of the supplement...
1.6
1.6Example 1
SOLUTION
Tell whether the figure is a polygon and whether it is
convex or concave.
Some segments intersect mo...
1.6
1.6
1.6Example 2
SOLUTION
Classify the polygon by the number of sides. Tell
whether the polygon is equilateral, equiangular, o...
1.6Example 2
SOLUTION
Classify the polygon by the number of sides. Tell
whether the polygon is equilateral, equiangular, o...
1.6Guided Practice
Sketch an example of a convex heptagon and
an example of a concave heptagon.
1.
SAMPLE ANSWER
1.6Guided Practice
Classify the polygon shown at
the right by the number of
sides. Explain how you know
that the sides of ...
1.6Example 4
A table is shaped
like a regular hexagon.The
expressions shown represent
side lengths of the hexagonal
table....
1.6Example 4
A table is shaped
like a regular hexagon.The
expressions shown represent
side lengths of the hexagonal
table....
1.6Guided Practice
The expressions 8y° and ( 9y – 15 )° represent the
measures of two of the angles in the table in
Exampl...
1.6Exit Slip
1. Draw a convex hexagon.
ANSWER
quadrilaterals ; not regularANSWER
2. This figure shows the tiles on a kitch...
1.6
3. This figure is a regular polygon.
Find the length of each side.
ANSWER 16 cm
Exit Slip
1.6
Homework
Pg 44-47
#21, 25, 29, 32, 41
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1.6 classify polygons

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1.6 classify polygons

  1. 1. 1.61.6 Classify Polygons Bell Thinger 1. Draw an acute angle and shade the interior. 2. Find the measure of the supplement of a 130º angle. ANSWER ANSWER 50 3. Find the measure of the complement of an 86 angle. ANSWER 4
  2. 2. 1.6
  3. 3. 1.6Example 1 SOLUTION Tell whether the figure is a polygon and whether it is convex or concave. Some segments intersect more than two segments, so it is not a polygon. a. b. The figure is a convex polygon. d. The figure is a concave polygon. Part of the figure is not a segment, so it is not a polygon. c. b. c.a. d.
  4. 4. 1.6
  5. 5. 1.6
  6. 6. 1.6Example 2 SOLUTION Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. a. b. The polygon has 6 sides. It is equilateral and equiangular, so it is a regular hexagon. a. The polygon has 4 sides, so it is a quadrilateral. It is not equilateral or equiangular, so it is not regular. b.
  7. 7. 1.6Example 2 SOLUTION Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. c. The polygon has 12 sides, so it is a dodecagon. The sides are congruent, so it is equilateral. The polygon is not convex, so it is not regular. c.
  8. 8. 1.6Guided Practice Sketch an example of a convex heptagon and an example of a concave heptagon. 1. SAMPLE ANSWER
  9. 9. 1.6Guided Practice Classify the polygon shown at the right by the number of sides. Explain how you know that the sides of the polygon are congruent and that the angles of the polygon are congruent. 2. Quadrilateral. They all have the same measure; they are all right angles. ANSWER
  10. 10. 1.6Example 4 A table is shaped like a regular hexagon.The expressions shown represent side lengths of the hexagonal table. Find the length of a side. ALGEBRA SOLUTION First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent. Write equation. Subtract 3x from each side. Add 2 to each side. 3x + 6 4x – 2= 6 = x – 2 8 = x
  11. 11. 1.6Example 4 A table is shaped like a regular hexagon.The expressions shown represent side lengths of the hexagonal table. Find the length of a side. ALGEBRA SOLUTION Then find a side length. Evaluate one of the expressions when x = 8. 303(8) + 6 ==3x + 6 The length of a side of the table is 30 inches. ANSWER
  12. 12. 1.6Guided Practice The expressions 8y° and ( 9y – 15 )° represent the measures of two of the angles in the table in Example 3. Find the measure of an angle. 3. 120o ANSWER
  13. 13. 1.6Exit Slip 1. Draw a convex hexagon. ANSWER quadrilaterals ; not regularANSWER 2. This figure shows the tiles on a kitchen floor. What type of polygon are the tiles? Are they regular polygons?
  14. 14. 1.6 3. This figure is a regular polygon. Find the length of each side. ANSWER 16 cm Exit Slip
  15. 15. 1.6 Homework Pg 44-47 #21, 25, 29, 32, 41
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