Math question help
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)
2. Start with the following statement.
Vertical angles are congruent.
a. State the conditional in ifthen 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?
Tutor Answer
Brown University
1271 Tutors
California Institute of Technology
2131 Tutors
Carnegie Mellon University
982 Tutors
Columbia University
1256 Tutors
Dartmouth University
2113 Tutors
Emory University
2279 Tutors
Harvard University
599 Tutors
Massachusetts Institute of Technology
2319 Tutors
New York University
1645 Tutors
Notre Dam University
1911 Tutors
Oklahoma University
2122 Tutors
Pennsylvania State University
932 Tutors
Princeton University
1211 Tutors
Stanford University
983 Tutors
University of California
1282 Tutors
Oxford University
123 Tutors
Yale University
2325 Tutors