Lines of Symmetry exercise - Free Printable

Problem Analysis and Solution

The image contains two main sections:

1. Column A and Column B Matching Task
2. Tessellation Identification Task

Let's solve each section step by step.

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#### Section 1: Column A and Column B Matching Task

The task here is to match the shapes in Column A with their corresponding halves in Column B. The goal is to complete the shape in Column A using one of the options in Column B.

##### Step-by-Step Solution:

1. Shape 1 (Blue Triangle):
- The shape in Column A is a blue triangle pointing to the left.
- To complete this shape, we need another triangle that mirrors it along the vertical axis.
- The correct option in Column B is the blue triangle pointing to the right.
- Answer for Shape 1: Blue triangle pointing to the right.

2. Shape 2 (Red Star):
- The shape in Column A is a red star.
- To complete this shape, we need another star that mirrors it along the vertical axis.
- The correct option in Column B is the red star pointing in the opposite direction.
- Answer for Shape 2: Red star pointing in the opposite direction.

3. Shape 3 (Purple Crescent):
- The shape in Column A is a purple crescent.
- To complete this shape, we need another crescent that mirrors it along the vertical axis.
- The correct option in Column B is the purple crescent pointing in the opposite direction.
- Answer for Shape 3: Purple crescent pointing in the opposite direction.

4. Shape 4 (Green Leaf):
- The shape in Column A is a green leaf.
- To complete this shape, we need another leaf that mirrors it along the vertical axis.
- The correct option in Column B is the green leaf pointing in the opposite direction.
- Answer for Shape 4: Green leaf pointing in the opposite direction.

##### Final Answers for Column A and Column B Matching:
- Shape 1: Blue triangle pointing to the right.
- Shape 2: Red star pointing in the opposite direction.
- Shape 3: Purple crescent pointing in the opposite direction.
- Shape 4: Green leaf pointing in the opposite direction.

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#### Section 2: Tessellation Identification Task

The task here is to identify which of the given patterns are tessellations. A tessellation is a pattern of shapes covering a plane without gaps or overlaps.

##### Step-by-Step Solution:

1. Pattern 1 (Blue and Green Diamonds):
- This pattern consists of blue squares with green diamond shapes inside them.
- The diamonds fit together perfectly without any gaps or overlaps.
- This is a tessellation.

2. Pattern 2 (Orange Squares):
- This pattern consists of orange squares arranged in a specific interlocking design.
- While the squares overlap, they do not cover the plane without gaps or overlaps in a uniform manner.
- This is not a tessellation.

3. Pattern 3 (Hexagons with Triangles):
- This pattern consists of hexagons divided into triangles, alternating in color.
- The hexagons fit together perfectly without any gaps or overlaps.
- This is a tessellation.

4. Pattern 4 (Triangles in a Grid):
- This pattern consists of triangles arranged in a grid-like structure.
- The triangles fit together perfectly without any gaps or overlaps.
- This is a tessellation.

##### Final Answers for Tessellation Identification:
- Pattern 1: Check (Tessellation)
- Pattern 2: Do not check (Not a tessellation)
- Pattern 3: Check (Tessellation)
- Pattern 4: Check (Tessellation)

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Final Answer Summary:

1. Column A and Column B Matching:
- Shape 1: Blue triangle pointing to the right.
- Shape 2: Red star pointing in the opposite direction.
- Shape 3: Purple crescent pointing in the opposite direction.
- Shape 4: Green leaf pointing in the opposite direction.

2. Tessellation Identification:
- Pattern 1: Check
- Pattern 2: Do not check
- Pattern 3: Check
- Pattern 4: Check

Boxed Final Answer:
\[
\boxed{
\text{Matching: 1. Right triangle, 2. Opposite star, 3. Opposite crescent, 4. Opposite leaf; Tessellations: 1, 3, 4}
}
\]