Quadrilaterals (parallel lines/parallelograms)：練習問題

Which of the following is NOT a property of a parallelogram?

A quadrilateral has two pairs of parallel sides. All its angles are right angles. Which of the following names must apply to this shape?

In the figure, a quadrilateral has two pairs of parallel sides. All four sides are equal in length, and one of its interior angles is a right angle. What is the most specific name for this shape?

What is the most important characteristic of parallel lines?

Which of the following statements about parallelograms is always true?

In a parallelogram PQRS, the side PQ is parallel to side SR. Which side is parallel to side PS?

In a parallelogram \( ABCD \), side \( AB \) is 12 cm long. What is the length of the opposite side \( CD \), and is side \( AB \) parallel to side \( CD \)?

Two lines, \( L_1 \) and \( L_2 \), are parallel. Point \( A \) is on \( L_1 \) and its perpendicular distance to \( L_2 \) is 5 cm. What is the perpendicular distance from another point \( B \) on \( L_1 \) to \( L_2 \), and why?

In a geometry workbook, quadrilateral WXYZ is identified as a parallelogram.

(a) If side WX measures 15 cm and side XY measures 10 cm, what is the length of side YZ?
(b) What is the length of side ZW?
(c) Which side is parallel to XY?
(d) If all four angles of WXYZ were \( 90^\circ \) but the side lengths remained the same, what would be the most specific name for the shape?

Analyze the properties of the following quadrilaterals:

(a) Quadrilateral P has two pairs of opposite sides that are parallel and all four of its sides are equal in length. However, its angles are not \( 90^\circ \). What is the specific name for P?
(b) Quadrilateral Q has two pairs of opposite sides that are parallel, but only its opposite sides are equal in length. All four of its angles are \( 90^\circ \). What is the specific name for Q?
(c) Which properties do both a rhombus and a square share regarding their sides and parallel lines?