34 Proving that a Quad is a Rectangle If a parallelogram contains at least one right angle, then it is a rectangle.If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.If all four angles of a quadrilateral are right angles, then it is a rectangle.
35 Proving that a Quad is a Kite If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite.If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is a kite.
36 Proving that a Quad is a Rhombus If a parallelogram contains a pair of consecutive sides that are congruent, then it is a rhombus.If either diagonal of a parallelogram bisects two angles of the parallelogram, then it is a rhombus.If the diagonals of a quadrilateral are perpendicular bisectors of each other, then the quadrilateral is a rhombus.
37 Proving that a Quad is a Square If a quadrilateral is both a rectangle and a rhombus, then it is a square.
38 Proving that a Trapezoid is Isosceles If the non-parallel sides of a trapezoid are congruent, then it is isosceles.If the lower or upper base angles of a trapezoid are congruent, then it is isosceles.If the diagonals of a trapezoid are congruent, then it is isosceles.
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