Orientation — Grade 8 Math, what it means and where it is taught

Whether the labels run clockwise or counter-clockwise around the shape.

Taught in Grade 8 Math.

Where it is taught

Practise this idea

2 questions in the course bank use Orientation, in Congruence & Sequences of Transformations.

Problem 1

A shape is reflected twice, across two different lines. Is the final orientation the same as the original or reversed?

Worked answer

same

One reflection reverses it

A second reflection reverses it back

So the orientation is the same

Problem 2

A figure and its image have opposite orientations. Which sequence could have produced it?

  1. A reflection followed by a translation
  2. Two rotations
  3. A translation followed by a rotation
  4. Three rotations
Worked answer

A reflection followed by a translation

Rotations and translations keep the orientation

An odd number of reflections reverses it

So the answer must contain exactly one reflection

Elsewhere

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