Quadrilateral (Square, Rectangle, Parallelogram, Trapezoid, Rhombus)：練習問題

Which of the following properties is always true for a parallelogram?

A rectangle has a length of \(10\text{ cm}\). If its total perimeter is \(32\text{ cm}\), what is its width?

A trapezoid has an area of \(60\text{ cm}^2\) and a height of \(6\text{ cm}\). If its lower base measures \(12\text{ cm}\), find the length of its upper base.

A rectangle has a length of \(9\text{ cm}\) and a width of \(4\text{ cm}\). What is the perimeter of this rectangle?

A parallelogram has a perimeter of \(30\text{ cm}\). If the length of one side is \(8\text{ cm}\), what is the length of its adjacent side?

How many pairs of parallel sides does a square have in total?

Both a rhombus and a square have four sides of equal length. What is a property of the internal angles that is always true for a square but not necessarily true for a rhombus?

A design on a floor tile is in the shape of a parallelogram. If one angle measures $$110^\text{o}$$, what is the measure of its adjacent angle?

Consider the following quadrilaterals:

a) A quadrilateral has four sides of equal length. Its opposite sides are parallel, but its angles are not right angles. What type of quadrilateral is this?

b) If the perimeter of such a quadrilateral is $$ 100 $$ cm, what is the length of one side?

c) Another quadrilateral has opposite sides that are parallel and equal in length. All four angles are right angles. If one side is $$ 20 $$ cm and the adjacent side is $$ 10 $$ cm, what is its perimeter?