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Draw the picture of polygons:[triangle to decagon]
and
Find there diagonals
and
Also draw the diagonals in the picture.
Answers & Comments
Verified answer
Answer:
Certainly! I can describe how to draw polygons from a triangle to a decagon and find their diagonals. I'll also explain how to draw the diagonals within the polygons.
1. **Triangle (3 sides):**
- Draw a triangle with three sides.
- To find the diagonals, draw three lines connecting each vertex to the non-adjacent vertex. These are the diagonals.
2. **Quadrilateral (4 sides):**
- Draw a four-sided polygon.
- To find the diagonals, draw two lines connecting opposite vertices.
3. **Pentagon (5 sides):**
- Draw a five-sided polygon.
- To find the diagonals, draw five lines connecting each vertex to the non-adjacent vertex. There will be five diagonals in total.
4. **Hexagon (6 sides):**
- Draw a six-sided polygon.
- To find the diagonals, draw nine lines connecting each vertex to the non-adjacent vertex. There will be nine diagonals in total.
5. **Heptagon (7 sides):**
- Draw a seven-sided polygon.
- To find the diagonals, draw fourteen lines connecting each vertex to the non-adjacent vertex. There will be fourteen diagonals in total.
6. **Octagon (8 sides):**
- Draw an eight-sided polygon.
- To find the diagonals, draw twenty lines connecting each vertex to the non-adjacent vertex. There will be twenty diagonals in total.
7. **Nonagon (9 sides):**
- Draw a nine-sided polygon.
- To find the diagonals, draw twenty-seven lines connecting each vertex to the non-adjacent vertex. There will be twenty-seven diagonals in total.
8. **Decagon (10 sides):**
- Draw a ten-sided polygon.
- To find the diagonals, draw thirty-six lines connecting each vertex to the non-adjacent vertex. There will be thirty-six diagonals in total.
Remember that diagonals are line segments connecting non-adjacent vertices within a polygon. Make sure that the diagonals do not intersect within the polygon (except for the point of intersection at the polygon's center in some cases).
Step-by-step explanation:
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