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Geometry: Theorems
Problems
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?
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