Download Geometry Outcomes and Content

Geometry Outcomes and Content
o Use the language, notation and conventions of geometry
o Recognise the geometrical properties of angles at a point
o use the terms 'complementary' and 'supplementary' for angles adding to 90°
and 180°, respectively, and the associated terms 'complement' and
'supplement'
o use the term 'adjacent angles' to describe a pair of angles with a common arm
and a common vertex
o identify and name right angles, straight angles, angles of complete revolution
and vertically opposite angles embedded in diagrams
o recognise that adjacent angles can form right angles, straight angles and
angles of revolution
o Identify corresponding, alternate and co-interior angles when two straight lines
are crossed by a transversal
o identify and name perpendicular lines using the symbol for 'is perpendicular
to' ( ), eg
o use the common conventions to indicate parallel lines on diagrams
o identify and name pairs of parallel lines using the symbol for 'is parallel to'
,
eg
o define and identify 'transversals', including transversals of parallel lines
o identify, name and measure alternate angle pairs, corresponding angle pairs
and co-interior angle pairs for two lines cut by a transversal
o recognise the equal and supplementary angles formed when a pair of parallel
lines is cut by a transversal
o conditions for two lines to be parallel
O Solve simple numerical problems using reasoning
Properties of Geometrical Figures 1
o Classify triangles according to their side and angle properties and describe
quadrilaterals (ACMMG165)
o label and name triangles (eg triangle
(eg
or
) and quadrilaterals
) in text and on diagrams
o use the common conventions to mark equal intervals on diagrams
o recognise and classify types of triangles on the basis of their properties
(acute-angled triangles, right-angled triangles, obtuse-angled triangles,
equilateral triangles, isosceles triangles and scalene triangles)
o distinguish between convex and non-convex quadrilaterals (the diagonals of a
convex quadrilateral lie inside the figure)
o properties of special quadrilaterals (parallelograms, rectangles, rhombuses,
squares, trapeziums and kites), including whether:
o
o

the opposite sides are parallel

the opposite sides are equal

the adjacent sides are perpendicular

the opposite angles are equal

the diagonals are equal

the diagonals bisect each other

the diagonals bisect each other at right angles

the diagonals bisect the angles of the quadrilateral
classify special quadrilaterals on the basis of their properties
Demonstrate that the angle sum of a triangle is 180° and use this to find the
angle sum of a quadrilateral
o
Use the properties of special triangles and quadrilaterals to solve simple
numerical problems with appropriate reasoning
o
define the exterior angle of a convex polygon
o
establish that the sum of the exterior angles of any convex polygon is 360º
o
apply the result for the interior angle sum of a triangle to find, by dissection, the
interior angle sum of polygons with more than three sides
o
express in algebraic terms the interior angle sum of a polygon with n sides, eg
o
apply interior and exterior angle sum results for polygons to find the sizes of
unknown angles