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.
Extended Conjecture: (Trapezoid Midsegment Conjecture): The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the two bases. Explanation: A midsegment of a trapezoid is a segment that connects the midpoints of the two non-parallel sides of a trapezoid. This segment has two special properties. It is parallel to the bases of the trapezoid. The length of the midsegment is the average of the lengths of the two bases. Remember that the bases of a trapezoid are parallel. Key Curriculum Press can provide demo versions of Geometer's Sketch Pad.