Given quadrilateral ABCD, m1 = m2, prove AC perp. to BD

[lectromagnet94]

I am really confused on this question

(lets just pretend that m1 and m2 are right angles... okay?)
I need the reasons for c,d,e,f, & g.
The reason for b is 'supplementary angle definition'
Thank you!
I really appreciate it!

 

[masters]

Re: I need help with a property and postulate question...

Hello,

I am really confused on this question

(lets just pretend that m1 and m2 are right angles... okay?)
I need the reasons for c,d,e,f, & g.
The reason for b is 'supplementary angle definition'
Thank you!
I really appreciate it!

b) Linear Pair Postulate: Two angles that form a linear pair are supplementary.

c) Definition of supplementary angles

d) Actually, statement d is written incorrectly. it should be: \(\displaystyle m\angle 1+ m\angle2=180\), and \(\displaystyle 2 m\angle 1=180\). The reasons are 'substitution using steps a and c, then addition.

e)Division

f) Definition of a right angle

g)If two lines meet to form right angles, then the lines are perpendicular.

 

[lectromagnet94]

TYPO!!!!!!!!!!! D is supposed to be m1+m1=180 2(m1)=180

Sorry!