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Section 14.3 · Geometry and measure

Translation

Translate points and shapes by a vector, describe a translation from an object and its image, and identify corresponding points without a grid.

6 teaching slides 51 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

translationA slide: every point moves the same way.
vectorThe pair (across, up) describing a translation.
objectThe shape you start with.
imageThe shape after the transformation.
congruentSame shape and same size.
corresponding pointsA point of the object and its partner on the image.

3 · Summary of the sectionrevise from this

  • A translation slides a shape. Nothing turns and nothing flips.
  • It is described by a vector (across, up).
  • To translate a point, add the vector to its coordinates.
  • To find the vector, do image − object.
  • A negative first number means left; a negative second number means down.
  • Two translations one after the other are the same as one translation by the sum of the vectors.
  • The image is congruent to the object: same lengths, same angles, same way round.
  • To undo a translation, reverse the signs of both parts.
  • None of this needs a grid — the arithmetic on the coordinates is the whole method.
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Video lessons1 videos

Translations

British corbettmaths

Translating a shape by a vector, and reading the vector back off a picture.

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4 · Practice51 questions, easiest first

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14.2 Scale drawings, maps and plans
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14.4 Reflection