Transform points on a Cartesian plane
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Log in to continueRecord translations, axis reflections and rotations about the origin.
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Point P is at (2, 1). Translate it 2 units right and 2 units up. What are its new coordinates?
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P is at (2, 1)
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Answer: (4, 3)
- Right increases x by 2. Up increases y by 2.
- The new point is (4, 3).
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Record translations, axis reflections and rotations about the origin.
Read the official VCAA curriculum description (VC2M7SP03)
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.
- VC2M7SP03-C01A translation adds the same horizontal and vertical changes to every point.
- VC2M7SP03-C02Reflection in the x-axis keeps x and negates y. Reflection in the y-axis keeps y and negates x.
- VC2M7SP03-C03A 90° anticlockwise turn maps (x,y) to (−y,x); a 180° turn negates both coordinates. State the direction and centre.
- VC2M7SP03-C04Performing transformations on complete point sets using digital tools and explaining combined effects.
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Subskills
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Descriptor-derived subskills
- D01Add a translation vectorA translation adds the same horizontal and vertical changes to every point.
- D02Change the appropriate coordinate signReflection in the x-axis keeps x and negates y. Reflection in the y-axis keeps y and negates x.
- D03Rotate a point about the originA 90° anticlockwise turn maps (x,y) to (−y,x); a 180° turn negates both coordinates. State the direction and centre.