Build tessellations and geometric patterns
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Log in to continueCombine transformations to cover a surface without gaps or overlaps.
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Identical 3 cm by 4 cm rectangular tiles form a row with edges touching and no overlap. What horizontal translation takes a tile exactly onto the next tile?
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2 columns and 2 rows of rectangles, each 3 cm wide and 4 cm high; boundaries meet with no gaps or overlaps.
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Answer: 3 cm
- The next tile begins where the width 3 cm ends.
- Translate horizontally by one tile width; height does not determine the row step.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Combine transformations to cover a surface without gaps or overlaps.
Read the official VCAA curriculum description (VC2M6SP03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M6SP03-C01A translation moves a shape without turning or flipping it. Edge-to-edge rectangular rows use one tile width horizontally and one tile height vertically. Copies keep the same size and shape.
- VC2M6SP03-C02Track position and orientation separately. Two reflections in parallel mirror lines restore the original orientation, although the position may change. A step shorter than a tile width causes overlap; a longer step leaves a gap.
- VC2M6SP03-C03Angles around a meeting point must fill 360° without overlap, but matching edge lengths must also be checked. Reflection followed by translation may differ from the reverse order. Combine net movements to design an instruction that returns a marker to its start.
- VC2M6SP03-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
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Subskills
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Descriptor-derived subskills
- D01Repeat a tile without gapsA translation moves a shape without turning or flipping it. Edge-to-edge rectangular rows use one tile width horizontally and one tile height vertically. Copies keep the same size and shape.
- D02Combine movements in a patternTrack position and orientation separately. Two reflections in parallel mirror lines restore the original orientation, although the position may change. A step shorter than a tile width causes overlap; a longer step leaves a gap.
- D03Check angles and transformation orderAngles around a meeting point must fill 360° without overlap, but matching edge lengths must also be checked. Reflection followed by translation may differ from the reverse order. Combine net movements to design an instruction that returns a marker to its start.