Question

Which quadrilateral or quadrilaterals cannot have two consecutive angles of 90° each? i. square ii. rectangle iii. parallelogram iv. kite v. rhombus vi. trapezoid

Answer 1

All the mentioned quadrilaterals may have two consecutive angles of 90° each. Think first about squares and rectangles, it is clear that all the four angles are 90° each. Now you deal with parallelogram; this is a polygon with two pari of parallel sides, they may be or not be 90° each, this is because square is a particular case of parallelogram. Regarding kites and rhombus, square is also a kind of kite and a kind of rhombus. Trapezoids are polygons with two parallel sides and at leas one inclined side; this leaves the possibility that one side is perpendicular to the parallel sides, which lead to two consecutive 90° angles. Then none of the answers are true.