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Chapter 5: Q. 13 (page 199)

For the following figure, can you deduce from the information AD炉||BC炉 andAD炉鈮�BC炉 that quadrilateral ABCD is a parallelogram. If so, what theorem can you use?

Short Answer

Expert verified

The quadrilateral ABCD is a parallelogram.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of parallelogram.

A quadrilateral is said to be a parallelogram when both the opposite sides are parallel.

03

Step 3- Step description.

Consider AD炉||BC炉;AD炉鈮�BC炉.

Observe that these are pair of opposite sides which are given to be parallel.

Consider the fact that a parallelogram is quadrilateral with both pairs of opposite sides parallel and congruent.

From the figure of ABCD , both pairs of opposite sides to be parallel.

Thus, ABCD is a parallelogram.

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