No; it is false.
The sum of all the angles of a quadrilateral always equals 360o.
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Yes, it is true.
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true
It is true that every trapezoid is a quadrilateral
You cannot prove it since it is not true for a general quadrilateral.
only quadrilateral QRST is a kite
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True
true
Yes, it is true.
This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus.However, if the diagonals are perpendicular bisectors, then we have a rhombus.Consider quadrilateral ABCD, with diagonals intersecting at X, whereAC and BD are perpendicular;AX=XC;BX=XD.Then angles AXB, BXC, CXD, DXA are all right angles and are congruent.By the ASA theorem, triangles AXB, BXC, CXD and DXA are all congruent.This means that AB=BC=CD=DA.Since the sides of the quadrilateral ABCD are congruent, it is a rhombus.
True.
True
A square is not a rhombus it is a quadrilateral. A Rhombus is also a quadrilateral. Plus, I have extra information for you. Did you know that quadrilaterals have four sides? Well its true!
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true