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Exploring Isosceles Triangles: Year 2 Geometry Investigation

Investigate properties of special triangles including Isosceles triangles. Discover how to identify, measure, and work with Isosceles triangles through hands-on methods. Practice applying Isosceles Triangle Conjecture and its converse to solve angle relationships in triangles. Engage in interactive activities to deepen understanding of Isosceles triangles. Complete homework and classwork exercises for reinforcement.

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Exploring Isosceles Triangles: Year 2 Geometry Investigation

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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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