Grade 5 Math worksheet focusing on reflection, with six grid-based problems requiring students to draw the mirror image of given shapes.

The worksheet you've uploaded is a Grade 5 Mathematics exercise on Reflections, which is part of the topic "Position & Movements." The task is to draw the accurate reflection of each given shape across the red lines (which act as lines of reflection).

Let’s go through each problem step-by-step and explain how to reflect each shape correctly.

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🔍 Understanding Reflection

A reflection is a transformation that creates a mirror image of a shape across a line (called the line of reflection). Each point of the original shape has a corresponding point on the reflected image that is:
- The same distance from the line of reflection,
- On the opposite side of the line,
- And directly across the line.

We will use grid squares to count distances and ensure accuracy.

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## ✔ Step-by-Step Solutions

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1. Rectangle

- Original rectangle is in the top-left quadrant.
- The red vertical line is the mirror line (y-axis).
- To reflect:
- Count how many squares each corner is from the red line.
- Draw the same shape on the opposite side, same distance from the line.

✔ Reflection: Copy the rectangle to the right of the red line, same size and orientation.

> Result: A rectangle symmetric to the original across the vertical red line.

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2. Cross-shaped figure (like a plus sign)

- This shape is made of five squares arranged in a cross.
- It's located to the right of the vertical red line.
- To reflect:
- Each square must be mirrored across the red line.
- Measure horizontal distance from each square to the line.
- Place the reflected square the same distance on the left.

✔ Reflection: Mirror the entire cross to the left of the red line.

> Note: The center square touches the line — it stays in place.

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3. Triangle

- The triangle is above the horizontal red line and to the left of the vertical red line.
- The triangle has its base on a horizontal line and one vertex pointing up.
- The horizontal red line is the line of reflection.

To reflect:
- Reflect over the horizontal line.
- Each point of the triangle is mirrored downward.
- The base (bottom edge) becomes the top of the new triangle.
- The apex (top point) becomes the bottom of the reflected triangle.

✔ Reflection: Draw an upside-down triangle below the horizontal red line, same size, with the base at the same height as the original apex.

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4. L-shaped figure

- This shape is made of three connected squares forming an "L".
- It's in the top-right quadrant.
- The vertical red line is the mirror.
- Reflect each square across the line.

Steps:
- Find the horizontal distance of each square from the red line.
- Draw the same squares on the left side, same distance away.

✔ Reflection: Mirror the L-shape to the left of the vertical red line.

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5. Diamond (Square rotated 45°)

- The diamond is centered around the intersection of the red lines.
- It crosses both lines.
- The vertical red line is the mirror.
- Since it's symmetrical and centered, reflecting it across the vertical line will produce the same shape but flipped horizontally.

But wait: since it's already symmetric about the vertical line, the reflection will look identical.

✔ Reflection: The reflected shape is the same as the original because the diamond is symmetric about the vertical line.

> However, if the diamond was not perfectly centered, we'd mirror each vertex across the line.

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6. Staircase-like shape (three squares stacked diagonally)

- This shape is in the bottom-right quadrant.
- It's made of three squares forming a diagonal "step" going upward to the right.
- The vertical red line is the mirror.

To reflect:
- For each square, measure how far it is from the red line.
- Draw the same number of squares on the left side, same distance from the line.

✔ Reflection: Mirror the staircase to the left side of the red line, maintaining the same pattern.

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## 🧩 Summary of How to Reflect Accurately

1. Identify the line of reflection (red line – vertical or horizontal).
2. Pick key points (corners or vertices) of the shape.
3. Count the distance from each point to the line.
4. Plot the reflected point the same distance on the other side.
5. Connect the reflected points to form the mirror image.

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## ✔ Final Answer (What You Should Draw)

For each shape:

| Shape | Reflection |
|------|------------|
| 1. Rectangle | Mirror image to the right of the vertical line |
| 2. Cross | Mirror image to the left of the vertical line |
| 3. Triangle | Upside-down triangle below the horizontal line |
| 4. L-shape | Mirror image to the left of the vertical line |
| 5. Diamond | Same shape (symmetric), mirrored across vertical line |
| 6. Staircase | Mirror image to the left of the vertical line |

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📌 Tip for Students: Use a ruler and count squares carefully! The reflected shape must be the same size and shape, just flipped.

Would you like me to provide a visual sketch description or help you draw it digitally?