Certainly! Let's break down the problem step-by-step:
### Part 2 (a): Writing Down the Given Information
We need to fill out the table with the given information about shape A and then classify it.
For Shape A:
- It has 6 equal sides, each of length 1 cm.
- It has 6 obtuse angles.
#### Filling Out the Table:
[tex]\[
\begin{tabular}{l|c|c}
\hline
Shape & Length of sides & Classify \\
\hline
A & 6 equal sides $= 1$ cm each & Hexagon (Irregular) with 6 obtuse angles \\
\hline
B & & \\
\hline
C & & \\
\hline
D & & \\
\hline
\end{tabular}
\][/tex]
### Part 2 (b): Explanation of Classification for Shape A
Shape A can be classified as a hexagon. Here's why:
- Number of Sides: It has 6 sides, automatically making it a hexagon (a shape with 6 sides is called a hexagon).
- Length of Sides: While a regular hexagon has all sides and angles equal, Shape A is specifically mentioned to have equal sides but 6 obtuse angles, indicating it is not a regular hexagon but an irregular one.
- Angles: Since Shape A has 6 obtuse angles, which are angles greater than 90 degrees but less than 180 degrees, this further confirms the irregular nature of the hexagon. In regular hexagons, the internal angles are exactly 120 degrees, which are also obtuse, but the given context differentiates it clearly as an irregular hexagon.
Thus, with the information provided about the sides and angles, Shape A is classified as an irregular hexagon with 6 obtuse angles.
