Geometric Reasoning

Description

Revision on angle rules and geometric reasons for 1.6 Geometric Reasoning external
Nika Mai
Flashcards by Nika Mai, updated more than 1 year ago
Nika Mai
Created by Nika Mai almost 7 years ago
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Resource summary

Question Answer
Vertically opposite angles are equal (vert opp ∠s)
Adjacent angles on a straight line add to 180° (Adj, ∠s on str. line)
Angles at a point add to 360° (∠s at pt)
Angles in a triangle add to 180° (∠ sum of Δ)
The exterior angle of a triangle equals the sum of the two interior opposite angles (ext ∠ of Δ)
The base angles of an isosceles triangle are equal (base ∠s isos. Δ)
Corresponding angles on parallel lines are equal (corresp ∠s, || lines)
Alternate angles on parallel lines are equal (alt. ∠s, || lines)
Co-interior angles on parallel lines add to 180° (co-int ∠s, // lines)
The interior angles of a polygon add to 180(n - 2)°, where n is the number of sides (int ∠ sum of polygon)
The exterior angles of a polygon add to 360° (ext ∠ sum of polygon)
Base isosceles triangle, equal radii (base ∠s isos Δ, = radii)
The angle at the centre is equal to twice the angle at the circumference on the same arc (∠ at centre)
Angles on the same arc are equal (∠s on same arc)
The angle in a semicircle is a right angle (∠ in semicircle)
Opposite angle of a cyclic quadrilateral add to 180° (opp ∠s, cyclic quad)
The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle (ext ∠, cyclic quad)
The angle where the radius meets the tangent is 90° (tgt ⊥ rad)
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