6.1(a) Notes: Triangle Angle-Sum Theorem

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Presentation transcript:

6.1(a) Notes: Triangle Angle-Sum Theorem Lesson Objective: Apply the Triangle Angle-Sum Theorem CCSS: G.CO.10 Prove theorems about triangles You will need: colored pens, PR Real-World App: What are the angles of a soccer kicking activity? This is Jeopardy!!!:

Lesson 1: Triangle Sum Theorem Label your loose triangle as shown. Trace the triangle onto your paper using a blue line for the base. Label the angles on your paper. 2 1 3 Why is the sum of the angles of a triangle = 180°?

Lesson 1: Triangle Sum Theorem Tear off the corners of angles 1 and 3 of the loose triangle. Tear off enough that you can hold them easily. 2 1 3 Why is the sum of the angles of a triangle = 180°?

1 3 Lesson 1: Triangle Sum Theorem Rotate pieces 1 and 3 180° and place on each side of angle 2. Glue everything down. 2 1 3 1 3

Lesson 1: Triangle Sum Theorem Draw a line along the three angles. Draw a line along the three angles. 1 2 3 1 3

Lesson 1: Triangle Angle-Sum Theorem 180° 1 2 3 1 3 Example: m/ 1 + m/ 2 + m/ 3 = 180° A straight line = 180°. The sum of the angles of a triangle = a straight line = 180°.

Lesson 2: Using the Triangle Angle-Sum Theorem with Mrs. Highman SOCCER The diagram shows the path of the ball in a passing drill between 4 friends. Find the measures of each numbered angle.

Lesson 3: Using Variables and the Triangle Angle-Sum Theorem Find the measures of each angle. a.

Lesson 3: Using the Triangle Angle-Sum Theorem Find the measures of each numbered angle. b.

6.1(a): Do I Get It? Yes or No Find the measures of each numbered angle. 1.

6.1(a): Do I Get It? Continued 2. Find the measures of each numbered angle. 2.