Question 136809
Your task is to prove that the measure of OQ is equal to the measure of PR.


Use the distance formula:


{{{d[PR]=sqrt((x[P]-x[R])^2+(y[P]-y[R])^2))}}}
{{{d[PR]=sqrt((0-a)^2+(b-0)^2))}}}
{{{d[PR]=sqrt(a^2+b^2))}}}


So, now we have an expression in simplest terms for the length of the segment PR.


Do the same thing with the coordinate values for the points O and Q to develop an expression for the length of segment OQ.  If the expressions are equal or equivalent, then the segments are congruent, otherwise not.