2D Shape Properties Worksheet for identifying lines of symmetry and naming shapes.

To solve the problem, we need to analyze each shape, determine its number of sides, identify the lines of symmetry, and name the shape. Let's go through each shape step by step.

Shape 1: Triangle

- Sides: 3
- Lines of Symmetry: A triangle with two equal sides (isosceles triangle) has 1 line of symmetry.
- Name of Shape: Isosceles Triangle

Shape 2: Parallelogram

- Sides: 4
- Lines of Symmetry: A general parallelogram does not have any lines of symmetry unless it is a special type like a rectangle or rhombus. This one appears to be a general parallelogram, so it has 0 lines of symmetry.
- Name of Shape: Parallelogram

Shape 3: Pentagon

- Sides: 5
- Lines of Symmetry: A regular pentagon has 5 lines of symmetry.
- Name of Shape: Regular Pentagon

Shape 4: Rhombus

- Sides: 4
- Lines of Symmetry: A rhombus has 2 lines of symmetry (diagonals).
- Name of Shape: Rhombus

Shape 5: Triangle

- Sides: 3
- Lines of Symmetry: A triangle with all sides equal (equilateral triangle) has 3 lines of symmetry. However, this triangle appears to be a right triangle, which has 0 lines of symmetry.
- Name of Shape: Right Triangle

Shape 6: Parallelogram

- Sides: 4
- Lines of Symmetry: Similar to the second shape, this is a general parallelogram with 0 lines of symmetry.
- Name of Shape: Parallelogram

Final Answer:

\[
\begin{array}{|c|c|c|}
\hline
\text{Shape} & \text{Sides} & \text{Lines of Symmetry} & \text{Name of Shape} \\
\hline
\text{Triangle} & 3 & 1 & \text{Isosceles Triangle} \\
\hline
\text{Parallelogram} & 4 & 0 & \text{Parallelogram} \\
\hline
\text{Pentagon} & 5 & 5 & \text{Regular Pentagon} \\
\hline
\text{Rhombus} & 4 & 2 & \text{Rhombus} \\
\hline
\text{Triangle} & 3 & 0 & \text{Right Triangle} \\
\hline
\text{Parallelogram} & 4 & 0 & \text{Parallelogram} \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Shape} & \text{Sides} & \text{Lines of Symmetry} & \text{Name of Shape} \\
\hline
\text{Triangle} & 3 & 1 & \text{Isosceles Triangle} \\
\hline
\text{Parallelogram} & 4 & 0 & \text{Parallelogram} \\
\hline
\text{Pentagon} & 5 & 5 & \text{Regular Pentagon} \\
\hline
\text{Rhombus} & 4 & 2 & \text{Rhombus} \\
\hline
\text{Triangle} & 3 & 0 & \text{Right Triangle} \\
\hline
\text{Parallelogram} & 4 & 0 & \text{Parallelogram} \\
\hline
\end{array}
}