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Chapter 5: Q. 8 (page 199)

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

The diagonals of parallelogram ___ bisect the angles.

Short Answer

Expert verified

The diagonals of parallelogram neverbisect the angles.

Step by step solution

01

Step 1- Apply the concept of parallelogram.

A parallelogram is a quadrilateral with opposite sides parallel and therefore congruent as well as opposite angles congruent.

02

Step 2- Step description.

Consider that diagonals are line segments joining opposite vertices of a parallelogram.

The property of diagonals of a parallelogram says that diagonals of parallelogram bisect each other but they never bisect the angles.

03

Step 3- Step description.

Since the diagonals of parallelogram bisect each other but diagonals never bisect the angles.

Therefore, the diagonals of parallelogram never bisect the angles.

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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.

SA炉鈭�KC炉;role="math" localid="1637731683825" SK炉鈭�AC炉

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.

For exercises, 14-18 write paragraph proofs.

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Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

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