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Chapter 4: Q.17 (page 162)

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

Name four isosceles triangles.

Short Answer

Expert verified

There arefour Isosceles Triangles namely 螖WXY,螖WXZ,螖YXZ,螖YWZ.

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.  Define an Isosceles Triangle

An isosceles triangle has two equal sides and two equal angles.

03

Step 3.  Write the pairs of congruent triangles 

Since, it is given that WX炉and YZ炉 are perpendicular bisectors of each other, so,

Wis equidistance from Yand Z. 鈬�WY=WZ

Zis equidistance from Wand X. 鈬�WZ=XZ

Yis equidistance from Wand X. 鈬�YW=YX

Xis equidistance from Zand Y. 鈬�XY=XZ

Thus,螖WXY,螖WXZ,螖YXZ,螖YWZ are isosceles triangles.

Therefore, there are four Isosceles Triangles.

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