NCEA Level 1 Angle Rules

Mark Plant
Flashcards by Mark Plant, updated more than 1 year ago
Mark Plant
Created by Mark Plant about 5 years ago
27937
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Description

The angle rules for NCEA geometry at Year 11

Resource summary

Question Answer
Alternate angles on parallel lines are equal
Co-interior angles on parallel lines add to 180°
Corresponding angles on parallel lines are equal
Angles on a line add up to 180°
Angles at a point add up to 360°
Interior angles of a quadrilateral add to 360°
Interior angles of a triangle add up to 180°
Vertically opposite angles are equal
Base angles of an Isosceles triangle are equal
Reflex angles are more than 180°
A Bearing is the angle measured from North, clockwise
Vertex
Intersection
Triangular Prism
Cylinder (circular prism)
Cuboid (rectangular prism)
Rhombus
Trapezium
Parallelogram
De (Regular) Octagram
(Regular) Hexagram
(Regular) Pentagram
Equilateral Triangle
A line at 90° to another line Perpendicular
A triangle formed from the centre to edge is isosceles (so base angles are equal)
A Tangent to a circle is at 90° to a radius it meets
The angle formed from the ends of a diameter to the edge is 90°
Rule for finding the sum of the interior angles of any polygon 180° × (sides – 2)
The Exterior angles of any polygon add to 360°
Similar shapes Have the same angles and sides are in a common ratio (there is an scale factor of enlargement)
An angle at the centre from two edge points is twice the angle from them to the edge
Opposite angles of Cyclic Quadrilaterals add to 180°
Angles from the ends of the same arc to the outside are equal
Chord and Arc
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