discovering geometry chapter 4...2013/10/08  · discovering geometry chapter 4 author kmd created...

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Lesson 1: 4.1/4.2 Lesson 2: 4.3 Lesson 3: 4.4/4.5 Lesson 4: 4.4/4.5 Lesson 5: 4.7 Lesson 6: 4.6 Lesson 7: 4.8 Lesson 8: Review

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  • Lesson 1: 4.1/4.2

    Lesson 2: 4.3

    Lesson 3: 4.4/4.5

    Lesson 4: 4.4/4.5

    Lesson 5: 4.7

    Lesson 6: 4.6

    Lesson 7: 4.8

    Lesson 8: Review

  • Warm Up

    USING A RULER, draw a triangle that fills the

    space in your notes.

    Pass your triangle to a partner.

    Measure the angles in the triangle.

    What do you notice?

  • Triangle Sum Conjecture

    The sum of the measures of the angles in

    every triangle ________________________. equals 180°

  • In this lesson we will answer…

    How are the measures of the angles in a

    triangle related?

  • Using the Triangle Sum Conjecture

  • Using the Triangle Sum Conjecture

  • Using the Triangle Sum Conjecture

  • Angles of a Triangle

    Use the Triangle Sum Conjecture and your

    algebra skills to solve for x.

  • Angles of a Triangle

  • Angles of a Triangle

  • Angles of a Triangle

  • Angles of a Triangle

  • In this lesson we will answer…

    Do I remember the parts of an isosceles

    triangle?

    Is there anything special about the angles of

    an isosceles triangle?

    What can I assume to be true of any

    isosceles triangle?

  • Parts of the Isosceles Triangle

    Using the triangle provided:

    Measure AB and BC.

    What is true of these sides?

    Fold triangle ABC to compare A and C.

    What is true of A and C?

    Check with your partners!

  • Vertex Angle

    Base

    Base Angle Base Angle

    Leg Leg

    DEF: An isosceles triangle has at least 2 congruent sides

    Parts of the Isosceles Triangle

  • Isosceles Triangle Conjecture

    If a triangle is isosceles, then

    _______________________________.

    Converse of the Isosceles Triangle Conjecture

    If a triangle has ____________________

    then it is __________________________.

    the base angles are congruent

    congruent base angles

    isosceles

  • Examples

  • Examples

  • Examples

  • What STUCK with You?

    Complete the Ticket Out the Door.

    Explain how you arrived at each answer.

  • Almost Finished…

    Clear Your Calculator and Turn It Off

    2nd + 7 1 2 then 2nd On

    Take out your agenda – copy down due dates

    Quizzes

    Tests

    Homework

    Practice 4.1 and 4.2

    Do NOT pack up until you are told to do so!