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What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?


What Is The Next Step In Constructing An Angle MNO Congruent To The Given Angle ABC With A Straightedge And A Compass class=

Sagot :

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

  • The two angles must be equal (∠ABC = ∠MNO).
  • The radius of the two triangles must be equal.
  • The radius from center N must be equal to radius BA and BC.
  • The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: https://brainly.com/question/20097419