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Describe how you would construct each of the following:

The midpoint of BC.

Short Answer

Expert verified

The construction of midpoint of BC is described.

Step by step solution

01

Step 1. Given information.   

The given statement is 鈥淭he midpoint of BC鈥.

02

Step 2. Concept used.

Draw arc with radius greater than that side and joint the point of intersection.

03

Step 3. Solution.

The procedure to construct midpoint ofBC:

  • Consider the line segment BC.
  • Choose a radius greater than 12BC.
  • Using the above radius and Bas centre draw two arcs above and below the line BC.
  • Using the same radius and Cas centre draw two arcs above and below the line BC.
  • Label the intersecting the points as X&Y.
  • ObserveXYis the perpendicular bisector ofBC.
  • The intersection point of XY&BCis the midpoint of BC.

The construction is shown below:

Therefore, the construction of midpoint of BC is described.

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