geometry section 1-6 1112
DESCRIPTION
Two-Dimensional FigureTRANSCRIPT
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Section 1-6Two-Dimensional Figures
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Essential Questions
• How do you identify and name polygons?
• How do you find perimeter, circumference, and area of two-dimensional figures?
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Vocabulary1. Polygon:
2. Vertex of a Polygon:
3. Concave:
4. Convex:
5. n-gon:
6. Equilateral Polygon:
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon:
3. Concave:
4. Convex:
5. n-gon:
6. Equilateral Polygon:
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon: The point where two sides of a polygon meet
3. Concave:
4. Convex:
5. n-gon:
6. Equilateral Polygon:
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon: The point where two sides of a polygon meet
3. Concave: A polygon that has an indentation
4. Convex:
5. n-gon:
6. Equilateral Polygon:
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon: The point where two sides of a polygon meet
3. Concave: A polygon that has an indentation
4. Convex: A polygon that has no indentations
5. n-gon:
6. Equilateral Polygon:
Monday, September 22, 14
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon: The point where two sides of a polygon meet
3. Concave: A polygon that has an indentation
4. Convex: A polygon that has no indentations
5. n-gon: A polygon that has n sides
6. Equilateral Polygon:
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Vocabulary1. Polygon: A closed figure whose sides are all line
segments
2. Vertex of a Polygon: The point where two sides of a polygon meet
3. Concave: A polygon that has an indentation
4. Convex: A polygon that has no indentations
5. n-gon: A polygon that has n sides
6. Equilateral Polygon: A polygon where all sides are congruent
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Vocabulary7. Equiangular Polygon:
8. Regular Polygon:
9. Perimeter:
10. Circumference:
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon:
9. Perimeter:
10. Circumference:
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon: A polygon where all sides are congruent and all angles are congruent
9. Perimeter:
10. Circumference:
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon: A polygon where all sides are congruent and all angles are congruent
9. Perimeter: The sum of the lengths of the sides of a polygon; The distance around a polygon
10. Circumference:
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon: A polygon where all sides are congruent and all angles are congruent
9. Perimeter: The sum of the lengths of the sides of a polygon; The distance around a polygon
10. Circumference:The distance around a circle
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon: A polygon where all sides are congruent and all angles are congruent
9. Perimeter: The sum of the lengths of the sides of a polygon; The distance around a polygon
10. Circumference:The distance around a circle
C = 2π r = πd
11. Area:
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Vocabulary7. Equiangular Polygon: A polygon where all angles
are congruent
8. Regular Polygon: A polygon where all sides are congruent and all angles are congruent
9. Perimeter: The sum of the lengths of the sides of a polygon; The distance around a polygon
10. Circumference:The distance around a circle
C = 2π r = πd
11. Area: The space in square units a figure covers
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Area Formulas
Where are some places that you find these formulas?
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Example 1Make four drawings (using a straight edge) so that two of your drawings are polygons and
two are not. Label which is which.
Polygons Not Polygons
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Example 1Make four drawings (using a straight edge) so that two of your drawings are polygons and
two are not. Label which is which.
Polygons Not Polygons
Monday, September 22, 14
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Example 1Make four drawings (using a straight edge) so that two of your drawings are polygons and
two are not. Label which is which.
Polygons Not Polygons
Monday, September 22, 14
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Example 1Make four drawings (using a straight edge) so that two of your drawings are polygons and
two are not. Label which is which.
Polygons Not Polygons
Monday, September 22, 14
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Example 1Make four drawings (using a straight edge) so that two of your drawings are polygons and
two are not. Label which is which.
Polygons Not Polygons
Monday, September 22, 14
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon Heptagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon Heptagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon Heptagon Octagon
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Polygon Names3 sides: 4 sides: 5 sides:
6 sides: 7 sides: 8 sides:
Triangle Quadrilateral Pentagon
Hexagon Heptagon Octagon
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Polygon Names
9 sides: 10 sides: 12 sides:
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon Decagon
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon Decagon
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon Decagon Dodecagon
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Polygon Names
9 sides: 10 sides: 12 sides:Nonagon Decagon Dodecagon
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Example 2Draw a concave hexagon. Then draw a convex octagon.
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Example 2Draw a concave hexagon. Then draw a convex octagon.
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Example 2Draw a concave hexagon. Then draw a convex octagon.
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Example 2Draw a concave hexagon. Then draw a convex octagon.
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Example 2Draw a concave hexagon. Then draw a convex octagon.
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Example 3Draw a regular quadrilateral.
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Example 3Draw a regular quadrilateral.
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Example 4Identify the figure based on the number of
sides. Is it concave or convex? Is it equilateral, equiangular, or neither?
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Example 4Identify the figure based on the number of
sides. Is it concave or convex? Is it equilateral, equiangular, or neither?
Decagon
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Example 4Identify the figure based on the number of
sides. Is it concave or convex? Is it equilateral, equiangular, or neither?
Decagon
Equilateral, but not equiangular
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Example 4Identify the figure based on the number of
sides. Is it concave or convex? Is it equilateral, equiangular, or neither?
Decagon
Equilateral, but not equiangular
Concave
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cm
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cmP = 2l + 2w
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cmP = 2l + 2w
= 2(8.3) + 2(3.2)
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cmP = 2l + 2w
= 2(8.3) + 2(3.2)
= 16.6 + 6.4
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cmP = 2l + 2w
= 2(8.3) + 2(3.2)
= 16.6 + 6.4
= 23
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Example 5Find the perimeter of a rectangle whose length
is 8.3 cm and width is 3.2 cm.
8.3 cm
3.2 cmP = 2l + 2w
= 2(8.3) + 2(3.2)
= 16.6 + 6.4
= 23 cm
Monday, September 22, 14
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Example 6Find the circumference of a circle with a
diameter of 14 in.
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Example 6Find the circumference of a circle with a
diameter of 14 in.
Monday, September 22, 14
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Example 6Find the circumference of a circle with a
diameter of 14 in.
14 in.
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Example 6Find the circumference of a circle with a
diameter of 14 in.
14 in. C = 2π r = πd
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Example 6Find the circumference of a circle with a
diameter of 14 in.
14 in. C = 2π r = πd
C = πd
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Example 6Find the circumference of a circle with a
diameter of 14 in.
14 in. C = 2π r = πd
C = πd
C = π(14)
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Example 6Find the circumference of a circle with a
diameter of 14 in.
14 in. C = 2π r = πd
C = πd
C = π(14)
C ≈ 43.98 in.
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Problem Set
Monday, September 22, 14
![Page 71: Geometry Section 1-6 1112](https://reader033.vdocuments.net/reader033/viewer/2022052621/558b4c44d8b42a3b2a8b46f7/html5/thumbnails/71.jpg)
Problem Set
p. 61 #1-27 odd, 44-47
“Nobody got anywhere in the world by simply being content.” - Louis L’Amour
Monday, September 22, 14