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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?
B
N.
E
1. Draw a ray. Label it NO
2. Using B as the center and any radius, draw an arc which intersects BA and BC. Label the intersection points D and E.
3. ?
O Draw a ray NM
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.
Using N as the center and any radius, draw an arc which intersects NM and NO. Label the interception points P and Q.
With a straightedge, connect points D and E.

BRAINLIEST TO WHOEVER ANSWERS FIRST What is the next step in constructing an angle MNO congruent to the given angle ABC with a straightedge and a compass B N E class=

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Answer:

Step-by-step explanation:

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.

Congruent angles have the same measure.

The next step is (b) 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.

The attached image implies that you have already constructed a straight line NO.

The next step is to construct an arc that intersects line NO

To do this, we make use of the following steps

  • Measure the distance AB
  • Measure the distance BD
  • Construct an arc PQ of length BD using point N as the center
  • Label the points of intersection as P and Q

Hence, the next step is (b)

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