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Q3

Expert-verifiedFound in: Page 169

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

For the following figure, if $\overline{WR}\perp \overline{CE}$ then name all segments congruent to $\overline{WE}$.

The segments congruent to $\overline{WE}$ is $\overline{RC},\overline{CW}$ and $\overline{RE}$.

Consider the figure $\u25b1CREW$.

In a parallelogram, if the diagonals of a parallelogram are perpendicular then it is a rhombus.

In a rhombus, all sides are equal.

Here, *CREW* is a parallelogram.

Since $WR\perp CE$ thus the parallelogram becomes a rhombus.

As all sides are equal in a rhombus thus the sides are as follows:

$\begin{array}{c}RC=CW\\ =WE\\ =RE\end{array}$

Therefore, the segments congruent to $\overline{WE}$ is $\overline{CW},\overline{RC}$ and $\overline{RE}$.

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