Problem Description:
The task is to draw the reflection of the given shapes across a vertical line of symmetry. The shapes are provided in grids, and the reflections should be drawn in the corresponding grids on the right.
Solution Approach:
1.
Identify the Line of Symmetry: For each shape, the vertical line of symmetry is implied by the grid structure. The shapes are drawn on the left side of the grid, and the reflections should be drawn on the right side.
2.
Understand Reflection: Reflection means that for every point on the original shape, there is a corresponding point on the reflected shape that is equidistant from the line of symmetry but on the opposite side.
3.
Draw the Reflection:
- For each square in the original shape, find its mirror image across the line of symmetry.
- Ensure that the reflected shape maintains the same orientation and distance from the line of symmetry as the original shape.
Step-by-Step Solution:
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Shape 1:
- Original Shape: A rectangle with dimensions 3x2 squares.
- Reflection: Draw the same rectangle on the right side of the grid, mirrored across the vertical line of symmetry.
-
Result: The reflected shape will be a rectangle of the same size, positioned symmetrically on the right.
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Shape 2:
- Original Shape: A staircase-like pattern with 5 squares.
- Reflection: Each square in the original shape should have a corresponding square on the right side, maintaining the same pattern but mirrored.
-
Result: The reflected shape will be a mirrored staircase pattern on the right.
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Shape 3:
- Original Shape: An inverted triangle with a base of 4 squares and a height of 3 squares.
- Reflection: The triangle should be mirrored such that the base remains horizontal and the apex points to the left.
-
Result: The reflected shape will be an upright triangle on the right.
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Shape 4:
- Original Shape: A single square.
- Reflection: The square should be mirrored directly across the line of symmetry.
-
Result: The reflected shape will be a single square on the right.
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Shape 5:
- Original Shape: A diamond shape with a peak pointing upwards.
- Reflection: The diamond should be mirrored such that the peak now points downwards.
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Result: The reflected shape will be an inverted diamond on the right.
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Shape 6:
- Original Shape: A T-shaped figure.
- Reflection: The T-shape should be mirrored such that the vertical line remains central, and the horizontal line extends to the left.
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Result: The reflected shape will be a T-shape with the horizontal line extending to the left.
Final Answer:
The reflections of the shapes are as follows:
1. Rectangle
2. Staircase pattern
3. Upright triangle
4. Single square
5. Inverted diamond
6. T-shape with horizontal line extending left
\boxed{\text{See the descriptions above for the reflections.}}
Parent Tip: Review the logic above to help your child master the concept of reflections math worksheet.