A translation slides a figure without turning or flipping it; a rotation turns it about a point; and a reflection flips it across a line of symmetry. Learners identify these transformations in drawings and on simple grids, recognizing that each preserves the figure’s size and shape while potentially changing its position or orientation; formal coordinate rules, angle measures, and compositions of transformations are not included.
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Detailed Explanation: Recognize translations, rotations, and reflections
A transformation changes where a shape is, but the shape keeps the same size and shape.
- A translation slides a shape. It does not turn or flip.
- A rotation turns a shape around a point.
- A reflection flips a shape across a line, like a mirror.
Worked example
A triangle is shown on a grid. The same triangle appears again 4 squares to the right. It has not turned or flipped.
How was the triangle transformed?
Step 1: Compare the shapes.
The two triangles have the same size and shape.
Step 2: Look for a turn or flip.
The triangle points in the same direction in both places. It was not turned or flipped.
Step 3: Look at how it moved.
Every part of the triangle slid the same distance: 4 squares to the right.
Answer: The triangle was moved by a translation.
Remember:
- Slides without turning or flipping: translation
- Turns around a point: rotation
- Flips across a line: reflection
Learn by doing: Recognize translations, rotations, and reflections
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Practice:
Transformations - Identify Type
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Download/Modify Free Grade 4 'Recognize translations, rotations, and reflections' Worksheet
Print this free 'Recognize translations, rotations, and reflections' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Transformations - Identify Type
- Transformations - Identify Translations
- Transformations - Identify Rotations
- Transformations - Identify Reflections
- Transformations - Identify Type - First Time
- Cartesian Grid - Translation of Point (Grid to Grid) in One Dimension (Words)
- Cartesian Grid - Translation of Shape in One Dimension (Words)
- 2D Shape Symmetry - Is This a Line of Symmetry
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Recognize translations, rotations, and reflections) through scaffolded problems that grow in difficulty as concepts are understood.