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Chapter 4: Q.16 (page 162)

WX炉and YZ炉are perpendicular bisectors of each other.

Zis equidistant from鈥�鈥�?鈥�鈥�炉and 鈥�鈥�?鈥�鈥�炉.

Short Answer

Expert verified

Zis equidistant from Wand X.

Step by step solution

01

Step 1.  Define Perpendicular Bisector

A perpendicular bisector of a segment is a line or a ray or a segment that is perpendicular to the segment and passes through its midpoint.

02

Step 2.  Observe the diagram

In the below diagram, let the point of intersection of two perpendicular bisectors be O So, as per the definition of perpendicular bisector WO=OXand YO=OZ.

03

Step 3.  State the conclusion 

As WX炉&YZ炉 are perpendicular bisectors of each other, so, YZ炉is passing through midpoint of role="math" localid="1649972280625" WX炉.

So, Zis equidistant from WandX. Hence, the blank is filled with terms WandX.

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