Ctrl+k

Recognize translations, rotations, and reflections

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.

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

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Transformations - Identify Reflections


    ?