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Warm-up

w. B. 3x + 28. x. x. 52 °. 4x + 40. x + 48. A. C. Warm-up. 4.2 Properties of Special Triangles. Year 2 Geometry. Investigation #1(optional). Draw an angle on patty paper. Label the angle C. Put point A on one ray. Fold the patty paper so both rays match.

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Warm-up

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  1. w B 3x + 28 x x 52° 4x + 40 x + 48 A C Warm-up

  2. 4.2 Properties of Special Triangles Year 2 Geometry

  3. Investigation #1(optional) • Draw an angle on patty paper. Label the angle C. • Put point A on one ray. • Fold the patty paper so both rays match. • Copy point A on the other ray and label it B. • Construct line segment AB.

  4. Investigation #1 continued • What type of triangle is this? • How can you tell? • Name the vertex angle. • Name the base. • Name the base angles (2). ISOSCELES! TWO SIDES ARE CONGRUENT!

  5. Base angles Isosceles Triangle Conjecture • If a triangle is isosceles, then its base angles are ______________? CONGRUENT

  6. Converse of the Isosceles Triangle Conjecture • If a triangle has two congruent angles, then _________________________________? THE TRIANGLE IS ISOSCELES

  7. 70° x x Example #1

  8. y 24° x Example #2 Find x and y.

  9. Example #3 • Find x and the measure of each angle. 37° 106° 37°

  10. e b a k h 58° c g d 63° f n p Wonderful Example #4 Find the missing angles a=122° b=58° c=58° d=39° e=39° f=78° g=63° h=102° k=78° n=83° p=39°

  11. Summary • Rewrite the Isosceles Triangle Conjecture and the Converse of the Isosceles Triangle Conjecture in your own words.

  12. Homework • Classwork • Worksheet • Homework • Pg 206 1-8, 10,11, 21, 22

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