Properties and constructions common mistakes

Common mistakes

• Geometric reasoning and proof common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply angle facts, congruence, similarity and quadrilateral properties to conjecture and derive results about angles and sides..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Geometric reasoning and proof.

• Geometric reasoning and proof common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use known results including Pythagoras' theorem and isosceles base angles to obtain simple proofs..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Geometric reasoning and proof. For Pythagoras, confirm the triangle is right-angled and identify the hypotenuse.

• Transformations and similarity common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Identify, describe and construct congruent and similar shapes, including on coordinate axes, using rotations, reflections, translations and enlargements..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

• Transformations and similarity common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Include fractional scale factors where tier-appropriate..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

• Transformations and similarity common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Include negative scale factors..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

• Combined transformations common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Describe changes and invariance from combinations of rotations, reflections and translations..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Combined transformations.

• Combined transformations common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use column vector notation for translations..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Combined transformations.

• Circle definitions and properties common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Identify and apply circle definitions and properties including centre, radius, chord, diameter and circumference..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Circle definitions and properties.

• Circle definitions and properties common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Include tangent, arc, sector and segment where tier-appropriate..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Circle definitions and properties.

• Circle theorems common mistake 1

  Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Apply and prove standard circle theorems concerning angles, radii, tangents and chords..

  Fix itShow the method first, then give the final answer in the required form. Apply this directly to Circle theorems.