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Chapter 5: Q1 (page 182)

The diagonals of 鈻�ABCD intersecting at Z . For the following figure, tell whether the statement must be, maybe, or cannot be true.

AC炉鈮�BD炉

Short Answer

Expert verified

The statement cannot be true.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of the parallelogram.

If a parallelogram is a rectangle or square, then diagonals are equal.

03

Step 3. Step description.

Consider ABCD is a parallelogram and diagonals AB and CD intersect at Z.

As the diagonals of a parallelogram are not equal to each other.

If a parallelogram is a rectangle or square, then diagonals are equal but from the figure, it is not equal.

Therefore, AC炉鈮�BD炉cannot be true.

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Most popular questions from this chapter

鈻�DECKis a parallelogram. Complete.

If m鈭�1=42,m鈭�2=x2and m鈭�CED=13xthen m鈭�2=?or m鈭�2=?(numerical answers).

For the following figure, if RE=EWthen name all angles congruent to 鈭�ERW.

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.

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 two segments that are both parallel and congruent. Connect their endpoints to form a quadrilateral. What appears to be true of the quadrilateral?
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