Angle Relationships
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1. Opener a) Draw a chord, a tangent, and a secant. What are the next two terms? - PowerPoint PPT Presentation


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Angle Relationships. 1. Opener a) Draw a chord, a tangent, and a secant. What are the next two terms? b) 4, 6, 2, 8, 0, 10, ... , c) F, M, A, M, J, J, ... , d) How many diagonals does an octagon have? e) What percent of people regret getting their tattoos?.

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1 opener a draw a chord a tangent and a secant what are the next two terms

Angle Relationships

1. Opener

a) Draw a chord, a tangent, and a secant.

What are the next two terms?

b) 4, 6, 2, 8, 0, 10, ... ,

c) F, M, A, M, J, J, ... ,

d) How many diagonals does an octagon have?

e) What percent of people regret getting their tattoos?


1 opener a draw a chord a tangent and a secant what are the next two terms

Conjecture 2: Vertical Angles Conjecture

If two angles form vertical angles they are congruent.

2. Angle Relationships


1 opener a draw a chord a tangent and a secant what are the next two terms

Conjecture 3: Linear Pair Conjecture

If two angles form a linear pair then they are supplementary.

2. Angle Relationships



1 opener a draw a chord a tangent and a secant what are the next two terms

Conjecture 4: Triangle Sum Conjecture

The sum of the angles of a triangle is 180°.

2. Angle Relationships


1 opener a draw a chord a tangent and a secant what are the next two terms

3. Closing

a) What’s the next term in this sequence? What is the 15th term?

b) How many degrees make up each arc of a 16-slice pizza?

What is the 2007th term of the following sequences:

c) 2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 116, ... ,

d) 7, 3, -1, -5, -9, -13, -17, -21, -24, -28, -32, -36, -40, ... ,

e) What is the sum of the first 2007 terms of the following sequence: 1, 3, 5, 1, 3, 5, ... ,

f) Serious Extra Credit: What will the 2007th card be in a)

g) What is the GWR for Most T-Shirts Worn At The Same Time? How many? How long did it take to put them on?