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Flashcards

Geometric Reasoning

Nika Mai Mathematics NCEA level 1 English 18 cards

Geometric Reasoning

Cards in this deck (18)

  1. 1Vertically opposite angles are equal (vert opp ∠s)Vertically opposite angles are equal (vert opp ∠s)
  2. 2Adjacent angles on a straight line add to 180° (Adj, ∠s on str. line)Adjacent angles on a straight line add to 180° (Adj, ∠s on str. line)
  3. 3Angles at a point add to 360° (∠s at pt)Angles at a point add to 360° (∠s at pt)
  4. 4Angles in a triangle add to 180° (∠ sum of Δ)Angles in a triangle add to 180° (∠ sum of Δ)
  5. 5The exterior angle of a triangle equals the sum of the two interior opposite angles (ext ∠ of Δ)The exterior angle of a triangle equals the sum of the two interior opposite angles (ext ∠ of Δ)
  6. 6The base angles of an isosceles triangle are equal (base ∠s isos. Δ)The base angles of an isosceles triangle are equal (base ∠s isos. Δ)
  7. 7Corresponding angles on parallel lines are equal (corresp ∠s, || lines)Corresponding angles on parallel lines are equal (corresp ∠s, || lines)
  8. 8Alternate angles on parallel lines are equal (alt. ∠s, || lines)Alternate angles on parallel lines are equal (alt. ∠s, || lines)
  9. 9Co-interior angles on parallel lines add to 180° (co-int ∠s, // lines)Co-interior angles on parallel lines add to 180° (co-int ∠s, // lines)
  10. 10The interior angles of a polygon add to 180(n - 2)°, where n is the number of sides (int ∠ sum of polygon)The interior angles of a polygon add to 180(n - 2)°, where n is the number of sides (int ∠ sum of polygon)
  11. 11The exterior angles of a polygon add to 360° (ext ∠ sum of polygon)The exterior angles of a polygon add to 360° (ext ∠ sum of polygon)
  12. 12Base isosceles triangle, equal radii (base ∠s isos Δ, = radii)Base isosceles triangle, equal radii (base ∠s isos Δ, = radii)
  13. 13The angle at the centre is equal to twice the angle at the circumference on the same arc (∠ at centre)The angle at the centre is equal to twice the angle at the circumference on the same arc (∠ at centre)
  14. 14Angles on the same arc are equal (∠s on same arc)Angles on the same arc are equal (∠s on same arc)
  15. 15The angle in a semicircle is a right angle (∠ in semicircle)The angle in a semicircle is a right angle (∠ in semicircle)
  16. 16Opposite angle of a cyclic quadrilateral add to 180° (opp ∠s, cyclic quad)Opposite angle of a cyclic quadrilateral add to 180° (opp ∠s, cyclic quad)
  17. 17The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle (ext ∠, cyclic quad)The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle (ext ∠, cyclic quad)
  18. 18The angle where the radius meets the tangent is 90° (tgt ⊥ rad)The angle where the radius meets the tangent is 90° (tgt ⊥ rad)

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Description
Revision on angle rules and geometric reasons for 1.6 Geometric Reasoning external
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Nika Mai
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