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Angle Relationships - Coggle Diagram
Angle Relationships
geometrical properties of angles
adjacent angles
complementary and supplementary angles, and the associated terms 'complement' and 'supplement'(also focus on the language/how to use these terms in sentences)
right angles, straight angles and angles of complete revolution
vertically opposite angles
identify angles when two straight lines are crossed by a transversal
symbols and conventions
perpendicular lines (AB⊥CD)
parallel lines (PQ∥RS)
indicate parallel lines on diagrams
definition of transversal
common case: when the two lines are not parallel
identify, name and measure
corresponding angle pairs
co-interior angle pairs
alternate angle pairs
special case: when the two lines are parallel
use dynamic geometry software to investigate angle relationships
recognise the equal and supplementary angles
Investigate conditions for two lines to be parallel using angle properties
explain why two lines are either parallel or not parallel, giving a reason
defining, labelling and naming
using capital letters
intervals (interval AB)
lines (line AB)
points (point A)
vertex and arms of angles
using symbols
perpendicular lines (⊥)
parallel lines (∥)
anlges (∠P or ∠QPR)
using common conventions on diagrams
right angles
equal angles
solve simple numerical problems using reasoning
find the sizes of unknown angles embedded in diagrams using angle relationships, explain how they were calculated