# Math question help

FratBro23
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 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"> Statements Reasons mÐ1 = mÐ2 Given Ð1 and Ð2 form a linear pair a. Ð1 is supplementary to Ð2. b. mÐ1 + mÐ2 = 180° c. mÐ1 + mÐ1 = 180° d. 2(mÐ1) = 180° Definition of like terms mÐ1 = 90° e. Ð1 is a right angle. f. \[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)

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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