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Problem :
Square ABCD has diagonals that intersect at point E. How do you know that
triangles AEC and DEB are congruent?
The diagonals bisect each other. Therefore, segments AE and DE are congruent,
and segments EC and EB are congruent. The vertical angles AEC and DEB are
congruent. Therefore, by SAS, 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?
3.125 times the square root of three.
Problem :
What is the relationship between an upper base angle and a lower base
angle of an isosceles trapezoid?
They are supplementary.
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?
An isosceles trapezoid
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?
