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Chapter 5: Q2 (page 195)

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.

WX炉鈮�YZ炉andWX炉鈭�YZ炉

Short Answer

Expert verified

The quadrilateral is a trapezoid

Step by step solution

01

Step 1. Apply the concept of trapezoid.

A trapezoid is a type of quadrilateral with one pair of parallel sides.

02

Step 2. Step description.

Consider that WX炉鈮�YZ炉,WX炉||YZ炉.

That is, one pair of opposite sides of a quadrilateral WX炉and YZ炉are parallel but not congruent.

03

Step 3. Step description.

Since one pair of the quadrilateral is parallel but not congruent, therefore from the definition of a trapezoid, the quadrilateral is a trapezoid.

Therefore, the quadrilateral is a trapezoid.

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Most popular questions from this chapter

Parallel rulers, used to draw parallel lines, are constructed so that EF=HGand HE=GF. Since there are hinges at points E, F, G and H, you can vary the distance between role="math" localid="1637730770232" HG鈫�and role="math" localid="1637730792914" EF鈫�. Explain why HG鈫�and EF鈫�are always parallel.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

Draw and label a diagram. List what is given and what is to be proved. Then write a two-column proof of the theorem.

Theorem 5-4.

The coordinates of the three vertices of a parallelogram are given. Find all the possibilities you can for the coordinates of the fourth vertex.

(-1,0),(2,-2),(2,2)
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