Math 3 Honors

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```					Math 3 Honors                                                        Name_________________________
U1 L2 I1 Geometric Reasoning and Proof (pgs. 30-34)

In this investigation, you will be working on the following learning objectives:
E. I can use angle relationship theorems involving two intersecting lines
F. I can use angle relationship theorems involving two parallel lines cut by a transversal

1a.     If m1  72  , then m 2  _______; m 3  _______; m 4  _______.

1b.     m 2  130  , then m1  _______; m 3  _______; m 4  _______.

1c.

1d.     SKIP THIS PART 

1e.     If two angles are a linear pair, then _________________________________________________.

1f.     If two lines intersect, then ________________________________________________________.

A postulate is _______________________________________________________________________.

The Linear Pair Postulate:
If two angles are a linear pair, ___________________________________________________________.

2a.

Justification for (1):

Justification for (2):

Justification for (3):

Justification for (4):
2b.

A theorem is _______________________________________________________________________.

The Vertical Angle Theorem: _________________________________________________________.
.

3a.

3b.

3c & 4.   Skip 
BONUS PROOF:     In the below diagram, prove that

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