Problem: Identify the Type for Each Regular Polygon
The task is to identify the type of each polygon shown in the image. Let's go through each one step by step.
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Step 1: Understand the Definitions
-
Regular Polygon: A polygon where all sides are equal in length, and all interior angles are equal.
- Common types of polygons include:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
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Step 2: Analyze Each Polygon
1.
Polygon 1:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
2.
Polygon 2:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
3.
Polygon 3:
- Shape: A 4-sided figure with equal sides and right angles.
- Type:
Square
4.
Polygon 4:
- Shape: A 4-sided figure with unequal sides and angles.
- Type:
Irregular Quadrilateral (Not a regular polygon)
5.
Polygon 5:
- Shape: A 4-sided figure with two parallel sides and unequal other sides.
- Type:
Trapezoid (Not a regular polygon)
6.
Polygon 6:
- Shape: A 4-sided figure with opposite sides parallel and equal, but not all angles are equal.
- Type:
Rhombus (Not a regular polygon unless it is a square)
7.
Polygon 7:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
8.
Polygon 8:
- Shape: A 6-sided figure with equal sides and angles.
- Type:
Hexagon
9.
Polygon 9:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
10.
Polygon 10:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
11.
Polygon 11:
- Shape: A 4-sided figure with equal sides and right angles.
- Type:
Square
12.
Polygon 12:
- Shape: An 8-sided figure with equal sides and angles.
- Type:
Octagon
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Step 3: Final Answer
Here are the types for each polygon:
1.
Octagon
2.
Octagon
3.
Square
4.
Irregular Quadrilateral
5.
Trapezoid
6.
Rhombus
7.
Octagon
8.
Hexagon
9.
Octagon
10.
Octagon
11.
Square
12.
Octagon
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Final Answer:
\[
\boxed{
\begin{array}{ccc}
1) \text{Octagon} & 2) \text{Octagon} & 3) \text{Square} \\
4) \text{Irregular Quadrilateral} & 5) \text{Trapezoid} & 6) \text{Rhombus} \\
7) \text{Octagon} & 8) \text{Hexagon} & 9) \text{Octagon} \\
10) \text{Octagon} & 11) \text{Square} & 12) \text{Octagon}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 6 geometry worksheet.
