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Chapter 5: Q2 (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.

DZ炉鈮�BZ炉

Short Answer

Expert verified

The statement must be true.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of the parallelogram.

Diagonals of a parallelogram bisect each other.

03

Step 3. Step description.

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

From the figure, the segments DZ炉,BZ炉are diagonals of a parallelogram.

Since the diagonals of a parallelogram bisect each other therefore the segments are congruent such that DZ炉鈮�BZ炉.

Therefore, DZ炉鈮�BZ炉must be true.

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