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Chapter 5: Q3 (page 169)

For the following figure, if WR¯⊥CE¯then name all segments congruent to WE¯.

Short Answer

Expert verified

The segments congruent to WE¯is RC¯,CW¯ and RE¯.

Step by step solution

01

Step 1. Check the figure.

Consider the figure ▱CREW.

02

Step 2. Apply the concept of the parallelogram.

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

In a rhombus, all sides are equal.

03

Step 3. Step description.

Here, CREW is a parallelogram.

Since WR⊥CEthus the parallelogram becomes a rhombus.

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

RC=CW=WE=RE

Therefore, the segments congruent to WE¯is CW¯,RC¯and RE¯.

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Most popular questions from this chapter

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