# A conjecture and the flowchart proof used to prove the conjecture are shown. Match the expression or phrase to each box to complete the proof?

##### 1 Answer

Oct 18, 2016

**1)** Given

This matches a piece of given information.

**2)**

A point on a line segment is a midpoint if and only if the line segments formed by that point and endpoints of the original line segment are congruent.

**3)**

This is our other piece of given information, and is necessary for the next step.

**4)** Transitive property of congruence

If *transitive property*. It is best known as a property of equality, but also applies to congruence.

**5)** Definition of isosceles triangle

A triangle is called *isosceles* if two of its sides are congruent. We have shown this to be the case in the fourth item of the flowchart.