**Problem : **
Square ABCD has diagonals that intersect at point E. How do you know that
triangles AEC and DEB are congruent?

**Problem : **
Quadrilateral ABCD is a rhombus with diagonals that intersect at point E. Given
angle ABE = 30 degrees and segment AD = 5, what is the area of triangle EBC?

**Problem : **
What is the relationship between an upper base angle and a lower base
angle of an isosceles trapezoid?

**Problem : **
A midsegment connects the midpoints of the legs of an
isosceles triangle. What is the
most specific name by which the quadrilateral created can be called?

**Problem : **
The endpoints of a segment and a point on the perpendicular bisector of that
segment are the three vertices of a triangle. What kind of triangle must it be?