Question

what is the missing reasons in the two column proof​

Answer 1

Answer:

1. b

2. d

3. c

4. a

5. f

6. e

Step-by-step explanation:

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Answer 2

The missing reasons from the second column are stated below:

1. MO bisects Angle PMN - It is given in the figure already.
2. Angle PMO and angle NMO are congruent angles- In the given figure, MO is the angle bisector that is it is dividing the angles into two equal parts. Hence, these two angles are congruent.
3. MO =~ MO - Because it is given in the question that both sides are MO and therefore same (given).
4. Ray OM bisects the angle PON - it is clearly shown in the figure that the ray OM is bisecting this angle.
5. Angle POM =~ Angle NOM - according to the figure, OM is bisecting angle PON. Then, the two angles created after bisecting will be equal. Hence, they are congruent angles.
6. ∆ PMO =~ ∆ NMO - these two triangles are congruent using the ASA property. The two angles PMO and NMO are the same. Likewise, the angles POM and NOM are the same. And MO is the common side in the two triangles.