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Aitchison College Academic Resources.
4 Geometry (continued)
E4.6 Angles Notes and examples
1 Calculate unknown angles and give simple Knowledge of 34etter notation for angles is
explanations using the following geometrical required, e.g. angle ABC. Candidates are expected
properties: to use the correct geometrical terminology when
© sum of angles at a point = 360° giving reasons for answers.
© sum of angles at a point on a straight line = 180°
© vertically opposite angles are equal
© angle sum of a triangle = 180" and angle sum
of a quadrilateral = 360°.
2 Calculate unknown angles and give geometric
explanations for angles formed within paralel lines:
© corresponding angles are equal
© altemate angles are equal
© co-imerior angles sum to 180° (supplementary).
3 Know and use angle properties of regular and Includes exterior and interior angles, and angle
irregular polygons. sum.
E47 Circle theorems | Notes and examples
Calculate unknown angles and give explanations Candidates are expected to use the geometrical
using the following geometrical properties of circles: properties listed in the syfabus when giving
* angle in a semicircle = 90° reasons for answers.
* angle between tangent and radius = 90°
© angle at the centre is twice the angle at the
Circumference
*® angles in the same segment are equal
*® opposite angles of a cyclic quadrilateral sum to
180° (supplementary)
© gaiternate segment theorem.
E4.8 Circle theorems I Notes and examples
Use the following symmetry properties of circles: Candidates are expected to use the geometrical
e equal chords are equidistant from the centre properties ieted in the eyfsbus when ghing
reasons for answers.
e =the perpendicular bisector of a chord passes
through the centre
2 = tannente fron on evtarncl nnint aro erwial in
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