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Geometry 3

Geometry 3. Level 1. If you put the three angles of a triangle together they make…. A straight line. Another proof. Fold point C to AB. The fold should be parallel to AB. Find x. 62. x. 54. Find x. 4 x. x. x. Find x. 4 x. x. x. Find x. 4 x. x. x. Can you read French?.

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Geometry 3

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  1. Geometry 3 Level 1

  2. If you put the three angles of a triangle together they make…

  3. A straight line

  4. Another proof

  5. Fold point C to AB. The fold should be parallel to AB.

  6. Find x 62 x 54

  7. Find x 4x x x

  8. Find x 4x x x

  9. Find x 4x x x

  10. Can you read French?

  11. Yes, we wanted all angles.

  12. Isosceles triangle Two angles are the same Two sides are the same i.e. AC = BC

  13. Name the base angles

  14. Find x x

  15. Find x Reason: x = 72

  16. Here’s a hard one. Find the value of .if AB + BP = AQ +QB?

  17. 1. Extend line AB to a point called R. • 2. Make BR equal in length to BP. • 3. Since AB+BP = AQ+QB, you can prove that AR=AC. • 4. Triangle BRP is an isosceles triangle with the big angle equal to 180 degrees —2 beta. • 5. Thus, angle BRP has to equal beta. • 6. If angle BRP=beta, then angle ACB also equals beta because line AP bisects angle A. • 7. Therefore the two halves of the chevron formed by points A, R, P, and C are identical. • 8. If angle C = beta and angle B=2 beta, then beta has to equal 40 degrees for the triangle ABC to add to 180 degrees.

  18. Angles in a quadrilateral

  19. Find the angles in the quadrilateral

  20. Find the angles in the quadrilateral

  21. Find the angles in the quadrilateral

  22. Find x

  23. Exterior angles

  24. Exterior angles

  25. Exterior angle

  26. Exterior angle equals the sum of the opposite interior angles.

  27. Find the value of x. x 70 50

  28. Find the value of x. x = 70 + 50 = 120 70 50

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