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Warm Up

Week 3. Warm Up. 11.02.11. Tell whether it is possible to draw each triangle:. 1) acute scalene triangle. 2) obtuse equilateral triangle. Re 1. B. 38 ⁰. ( 10x + 9 ) ⁰. ( 7x + 1 )⁰. C. A. ( 10x + 9 )º = ( 7x + 1 )º + 38º. ( 10x + 9 )º. 10x + 9 = 7x + 1 + 38.

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Warm Up

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  1. Week 3 Warm Up 11.02.11 Tell whether it is possible to draw each triangle: 1) acute scalene triangle 2) obtuse equilateral triangle

  2. Re 1 B 38⁰ ( 10x + 9 )⁰ ( 7x + 1 )⁰ C A ( 10x + 9 )º = ( 7x + 1 )º + 38º ( 10x + 9 )º 10x + 9 = 7x + 1 + 38 10( 10 ) + 9 10x + 9 = 7x + 39 100 + 9 3x + 9 = 39 109 3x = 30 x = 10

  3. Congruence Exact same size and shape Congruent Not Congruent

  4. Rule 1 Congruent figures have congruent angles and congruent sides. Ex 1 B Q A P C R ∠A ≅ ∠P ∠B ≅ ∠Q ≅ ∠C ≅ ∠R ≅ ≅ ∆ABC ≅ ∆PQR

  5. Rule 2 List the corresponding angles in the same order so you know which sides are congruent. Ex 2 NPLM ≅ EFGH Find the value of x and y. LM ≅ GH

  6. Rule 2 List the corresponding angles in the same order so you know which sides are congruent. Ex 2 NPLM ≅ EFGH Find the value of x and y. LM ≅ GH LM = GH 8 = 2x - 3

  7. Rule 2 List the corresponding angles in the same order so you know which sides are congruent. Ex 2 NPLM ≅ EFGH Find the value of x and y. LM ≅ GH ∠N ≅ ∠E LM = GH m∠N = m∠E 8 = 2x - 3 72 º = ( 7y + 9 )º

  8. 8 = 2x - 3 72 = 7y + 9 11 = 2x 63 = 7y 9 = y 5.5 = x

  9. Theorem 4.3 B E A C D F If ∠A ≅∠D and ∠B ≅∠E, then ∠C ≅∠F.

  10. M Ex 3 R T (2x + 30)º 55º 65º L N S ∠N ≅ ∠R m∠M = 180 - 55 - 65 ∠L ≅ ∠S m∠M = 60º 60 = 2x + 30 so ∠M ≅ ∠T 30 = 2x 15 = x

  11. Name all the congruent sides. Do: 1 F G E B 38⁰ K H J Assignment: Textbook Page 205, 4 - 15 all.

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