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Chapter 5: Q3 (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.

AD炉鈭�BC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.

A quadrilateral is a parallelogram if both pairs of opposite sides are congruent.

03

Step 3. Step description.

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

The segments AD炉,BC炉are the diagonals of a parallelogram.

Since a quadrilateral is a parallelogram if both pairs of opposite sides are congruent thus AD炉鈭�BC炉.

Therefore, AD炉鈭�BC炉must be true.

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