Question 664715
<pre>
Given: &#8736;P and &#8736;R are right Angle's 
       M is the midpoint of PR
Prove: &#8736;N &#8773; &#8736;Q

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rectangle(-5,0,-4.7,.3), rectangle(5,0,4.7,-.3),
line(2.5,-.15,2.5,.15), line(-2.5,-.15,-2.5,.15), locate(-.1,-.1,M), locate(-5,3.5,N), locate(-5,-.1,P),
locate(4.9,-3.1,Q), locate(4.8,.5,R), red(arc(0,0,3,-3,149,180),arc(0,0,3,-3,329,3600))

)}}}


1.  &#8736;P &#8773; &#8736;R      Given that both are right angles

2.  PM &#8773; RM       Because M is the midpoint of PR

3.  &#8736;PMN &#8773; &#8736;RMQ  Vertical angles

4. &#5123;NPM &#8773; &#5123;QMR   Angle-side-angle (steps 1,2,3)

5. &#8736;N &#8773; &#8736;Q       Corresponding parts of congruent triangles.

Edwin</pre>