Logical geometry

This task is about geometric properties of quadrilaterals.
A quadrilateral is a two-dimensional shape with four straight sides. 
Five quadrilaterals are shown below. 
 
geometric-trapezium.png
Trapezium
(At least 1 pair of parallel sides)
geometric-rhombus.png
Rhombus
(2 pairs of parallel sides)
geometric-parallelogram.png
Parallelogram
(2 pairs of parallel sides,
all sides equal length)
geometric-square.png
Square
(2 pairs of parallel sides,
all sides equal length, all angles 90o)    
geometric-rectangle.png
Rectangle
(2 pairs of parallel sides, 
opposite sides equal length, all angles 90o)
 
Following are statements about quadrilaterals. One statement in each pair is true and the other is false.

Question

a)  Select the true statement below. 

    • All rectangles are trapeziums.

    • All trapeziums are rectangles.

Question

b)  Select the true statement below. 

    • All rhombuses are squares.

    • All squares are rhombuses.

Question

c)  Select the true statement below. 

    • All squares are parallelograms.

    • All parallelograms are squares.

Question

d)  Select the true statement below. 

    • All trapeziums are rhombuses.

    • All rhombuses are trapeziums.

Question

e)  Select the true statement below. 

    • All parallelograms are rectangles.

    • All rectangles are parallelograms.

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