Short Answer 
The properties of isosceles trapezoids include congruent diagonals, parallel bases, and congruent adjacent sides and base angles. Understanding these characteristics is essential for identifying and distinguishing isosceles trapezoids in geometric contexts.
Step 1: Understand the Properties of Diagonals
In an isosceles trapezoid, the diagonals are congruent, meaning they are of equal length. This property helps distinguish isosceles trapezoids from other types of trapezoids. Recognizing this will aid in identifying isosceles trapezoids in geometric problems.
Step 2: Know the Base Characteristics
The bases of any trapezoid are always parallel. In isosceles trapezoids, the bases remain parallel, which is a fundamental characteristic of trapezoids. It’s essential to understand this parallel nature to apply the properties of trapezoids correctly in calculations or proofs.
Step 3: Identify Congruence Conditions
The adjacent sides and base angles are not necessarily congruent for all trapezoids. However, in an isosceles trapezoid, the adjacent sides are congruent, and the base angles are also congruent. These characteristics are specific and crucial in differentiating isosceles trapezoids from other trapezoid types.