Here, she discusses two with Oprah. Watch to find out why Dr. Brown says inauthenticity is contagious and why perfectionism is really another form of fear. For more Super Soul Sunday, visit http://www.oprah.com/SuperSoulSunday.
Midsegment Theorem Proof. The mid segment theorem states that a segment that connects the mid points of any two sides is parallel to the third side and also its measure is half the measure of the third side. That is, DE ll AB and DE = $\frac{1}{2}$ AB. Therefore, CA = CD + DA = 2 CD.
The precise statement of the conjecture is: Conjecture (Congruent Chords): If two chords of a circle are congruent, then they determine central angles which are equal in measure. If two chords of a circle are congruent, then their intercepted arcs are congruent. Two congruent chords in a circle are equal in distance from the center.