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Warm Up

Solve the given problem to find the values of variables a and b using geometry theorems and properties.

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Warm Up

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  1. Week 2 Warm Up 01.12.12 Find the value of a and b.

  2. Re 1 1) AD = 8 3) m ∠ ADC = 65 + 45 = 110º 2) EC = 5 3) m ∠ BCD = 180º - 110º = 70º

  3. Re 2 45º 1) Linear Pairs add up to 180º 135 + 45 = 180 2) If alternate interior angles are congruent then the lines are parallel. ( T3.8) 45 = 45

  4. Theorem 6.6 B C A D ABCD is a

  5. Theorem 6.7 B C A D ABCD is a

  6. Theorem 6.8 B C ( 180 – x )º xº xº A D ABCD is a

  7. Theorem 6.9 B C A D ABCD is a

  8. Prove Ex 1 -4 Show that opposite sides are parallel. -4 = -4 ( -1, 4 ) ( 6, 5 ) ( 1, 3 ) 4 4 = -1 -1 +( -7, -1 ) +( -2, 1 ) ABCD is a = -4 ( -1, 4 ) = Repeat for the other opposite sides.

  9. Prove Ex 1 -4 Show that opposite sides are parallel. -4 ( -5, -2 ) ( 1, 3 ) ( 2, -1 ) 2 2 2 2 = = 5 5 5 5 +( -6, -5 ) +( -7, -1 ) ABCD is a ( -5, -2 )

  10. Review If an angle of a quadrilateral is _____ to both of its consecutive sides it is a parallelogram. Do 1: What value of x makes the shape a parallelogram? Assignment: Handout - 6.3B except # 15 - will be done tomorrow.

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