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Chapter 5: Q5 (page 199)

Complete the following statement with the word always, sometimes, or never.

A trapezoid ___ has three congruent sides.

Short Answer

Expert verified

A trapezoid never has three congruent sides.

Step by step solution

01

Step 1. Apply the concept of a trapezoid.

A trapezoid is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and their non-parallel sides are called legs.

02

Step 2. Step description.

Since a trapezoid is a quadrilateral with only one pair of parallel sides. The parallel sides are called bases and the other sides are legs.

Also, a trapezoid with congruent legs is called an isosceles trapezoid, thus a trapezoid can have at most two sides congruent.

03

Step 3. Step description.

Since a trapezoid can have at most two sides congruent thus a trapezoid never has three sides congruent.

Therefore, a trapezoid never has three sides congruent.

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Most popular questions from this chapter

State the principal definition or theorem that enables you to deduce, from the information given, that quadrilateral SACK is a parallelogram.

鈭�SKC鈮�鈭�CAS;鈭�KCA鈮�鈭�ASK

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

For the following figure, if OE=4and WE=8, name two segments congruent to WE炉.

Given: ABCD is a 鈻�,CD炉鈮�CE炉

Prove: 鈭�A鈮�鈭�E

What values must x and y have to make the quadrilateral a parallelogram?
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