Math question help

timer Asked: Oct 21st, 2013

Question description

Given: mÐ1 = mÐ2 

And points D, F, and E are colinear 

Prove: [img src="file:///C:\Users\NEWPAG~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.gif" height="21" width="27">^ [img src="file:///C:\Users\NEWPAG~1\AppData\Local\Temp\msohtmlclip1\01\clip_image004.gif" height="20" width="28">

  [img src="file:///C:\Users\NEWPAG~1\AppData\Local\Temp\msohtmlclip1\01\clip_image006.jpg" height="188" width="207">




mÐ1 = mÐ2


Ð1 and Ð2 form a linear pair


Ð1 is supplementary to Ð2.


mÐ1 + mÐ2 = 180°


mÐ1 + mÐ1 = 180°


  2(mÐ1) = 180°

Definition of like terms

  mÐ1 = 90°


Ð1 is a right angle.


\[img src="file:///C:\Users\NEWPAG~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.gif" height="21" width="27">^

Definition of perpendicular lines

(8 points)

1.  Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deductive reasoning and describe how each can help you develop and prove theorems.

(7 points)

2.  Start with the following statement.

Vertical angles are congruent.

a.  State the conditional in if-then form and the three other forms of the statement.

b.  If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive?

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