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  1. Home
  2. 12th grade
  3. Geometry
  4. Exercise : Identify transformations

Identify transformations Geometry

Name the transformation that occurred between ABC and DEF.

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By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the shape is flipped through a vertical line.

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DEF is a reflection of ABC.

Name the transformation that occurred between ABC and DEF.

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By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the object is rotated. The size and the shape have remained unchanged.

DEF is a rotation of ABC.

Name the transformation that occurred between ABC and DEF.

-

By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here we can see that the object is moved without changing its size, shape, or orientation.

DEF is a translation of ABC.

Name the transformation that occurred between ABC and DEF.

-

By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the object is contracted without changing its shape or orientation.

DEF is a dilatation of ABC.

Name the transformation that occurred between ABC and DEF.

-

By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the object is expanded without changing its shape or orientation.

DEF is a dilatation of ABC.

Name the transformation that occurred between ABC and DEF.

-

By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the object is rotated. The size and the shape have remained unchanged.

DEF is a rotation of ABC.

Name the transformation that occurred between ABC and DEF.

-

By definition:

  • Rotation is: rotating an object without changing its size or shape
  • Translation is: moving an object without changing its size, shape or orientation
  • Dilatation is: expanding or contracting an object without changing its shape or orientation
  • Reflection is: flipping an object across a line without changing its size or shape

Here, we can see that the object is flipped across a horizontal line without changing its size or shape.

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DEF is a reflection of ABC.

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See also
  • Course : Transformations, congruence and similarity
  • Exercise : Graph transformations
  • Exercise : Determine whether line segments are congruent
  • Exercise : Determine whether figures are congruent
  • Exercise : Use the properties of similar triangles to determine measures (cos, sin, tan, lengths, angles)
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