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Geometric Reasoning

Geometric Reasoning. Mahobe. The facts to learn. Angles in a triangle add up to 180 o. Angles on a straight line add up to 180 o. Angles around a point add up to 360 o. base ∠’s isos ∆ =. ∠ sum quad. Interior angles of a quadrilateral sum to 360 o. opp ∠, cyclic quad.

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Geometric Reasoning

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  1. Geometric Reasoning Mahobe

  2. The facts to learn

  3. Angles in a triangle add up to 180o

  4. Angles on a straight line add up to 180o

  5. Angles around a point add up to 360o

  6. base ∠’s isos ∆ =

  7. ∠ sum quad Interior angles of a quadrilateral sum to 360o

  8. opp∠, cyclic quad Opposite angles of a cyclic quadrilateral sum to 180o

  9. Ext ∠, of cyclic quad Exterior angle of a cyclic quad equals the opposite interior angle

  10. vertopp ∠s = • Vertically opposite angles are equal

  11. alt ∠s // lines Alternate angles are equal if the lines are parallel

  12. corr∠s // lines Corresponding angles are equal if the lines are parallel

  13. Co-int∠s // lines Co-interior angles sum to 180o if the lines are parallel

  14. Exterior angles of a polygon add up to 360o

  15. If the polygon is regular all exterior angles are the same size Exterior angles of a polygon add up to 360o

  16. ext ∠ regular pentagon Exterior angles of a regular pentagon is 72o

  17. Interior angles of a polygon with n sides sum to 180(n-2)

  18. Find all the other angles in this figure

  19. Vertopp angles

  20. A triangle formed with 2 radii is isosceles

  21. The angle at the centre is twice the angle at the circumference.

  22. When writing angles use 3 letters. The middle letter is where the angle is.

  23. Find the angles u, v and w O Is the centre

  24. O Is the centre

  25. O Is the centre

  26. O Is the centre

  27. Find angle d

  28. Calculate the size of angle ABC

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