Answer :
Let's analyze and classify each shape step-by-step.
### Shape A
Given:
- Length of sides: 6 equal sides, each 1 cm
- Classify angles: 6 obtuse angles
- Regular/Irregular: Regular
- Name of shape: Regular hexagon
The shape has been correctly classified as a "Regular hexagon" since it has 6 equal sides and the angles are obtuse (more than 90 degrees but less than 180 degrees).
### Shape B
Given:
- Length of sides: 4 equal sides, each 1 cm
- Classify angles: 4 right angles
- Regular/Irregular: Regular
- Name of shape:
By definition, a shape with 4 equal sides and 4 right angles is a "Square". Therefore:
- Name of shape: Square
### Shape C
Given:
- Length of sides: 3 equal sides, length not provided
- Classify angles: Not provided
- Regular/Irregular: Irregular
- Name of shape: Irregular
A shape with 3 sides is a triangle. Since it is mentioned that it is irregular and lacks further classification of angles:
- Name of shape: Irregular Triangle
### Shape D
Given:
- Length of sides: 2 equal sides, each 4 cm
- Classify angles: 2 acute angles
- Regular/Irregular: Irregular
- Name of shape:
A quadrilateral with sides not all equal and some acute angles can be classified as an "Irregular Quadrilateral". Therefore:
- Name of shape: Irregular Quadrilateral
### Complete Table
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Shape} & \text{Length of sides} & \text{Classify angles} & \text{Regular/ Irregular} & \text{Name of shape} \\ \hline A & 6 \text{ equal sides } = 1 \text{ cm each} & 6 \text{ obtuse angles} & \text{Regular} & \text{Regular hexagon} \\ \hline B & 4 \text{ equal sides } = 1 \text{ cm each} & 4 \text{ right angles} & \text{Regular} & \text{Square} \\ \hline C & 3 \text{ equal sides } = \text{Not provided} & \text{Not provided} & \text{Irregular} & \text{Irregular Triangle} \\ \hline D & 2 \text{ equal sides } = 4 \text{ cm} & 2 \text{ acute angles} & \text{Irregular} & \text{Irregular Quadrilateral} \\ \hline \end{array} \][/tex]
### Shape A
Given:
- Length of sides: 6 equal sides, each 1 cm
- Classify angles: 6 obtuse angles
- Regular/Irregular: Regular
- Name of shape: Regular hexagon
The shape has been correctly classified as a "Regular hexagon" since it has 6 equal sides and the angles are obtuse (more than 90 degrees but less than 180 degrees).
### Shape B
Given:
- Length of sides: 4 equal sides, each 1 cm
- Classify angles: 4 right angles
- Regular/Irregular: Regular
- Name of shape:
By definition, a shape with 4 equal sides and 4 right angles is a "Square". Therefore:
- Name of shape: Square
### Shape C
Given:
- Length of sides: 3 equal sides, length not provided
- Classify angles: Not provided
- Regular/Irregular: Irregular
- Name of shape: Irregular
A shape with 3 sides is a triangle. Since it is mentioned that it is irregular and lacks further classification of angles:
- Name of shape: Irregular Triangle
### Shape D
Given:
- Length of sides: 2 equal sides, each 4 cm
- Classify angles: 2 acute angles
- Regular/Irregular: Irregular
- Name of shape:
A quadrilateral with sides not all equal and some acute angles can be classified as an "Irregular Quadrilateral". Therefore:
- Name of shape: Irregular Quadrilateral
### Complete Table
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Shape} & \text{Length of sides} & \text{Classify angles} & \text{Regular/ Irregular} & \text{Name of shape} \\ \hline A & 6 \text{ equal sides } = 1 \text{ cm each} & 6 \text{ obtuse angles} & \text{Regular} & \text{Regular hexagon} \\ \hline B & 4 \text{ equal sides } = 1 \text{ cm each} & 4 \text{ right angles} & \text{Regular} & \text{Square} \\ \hline C & 3 \text{ equal sides } = \text{Not provided} & \text{Not provided} & \text{Irregular} & \text{Irregular Triangle} \\ \hline D & 2 \text{ equal sides } = 4 \text{ cm} & 2 \text{ acute angles} & \text{Irregular} & \text{Irregular Quadrilateral} \\ \hline \end{array} \][/tex]