Use Deductive Reasoning To Form A Valid Conclusion From The Given Statem…

Use deductive reasoning to form a valid conclusion from the given statements. State the law of logic that you applied to form such conclusion.

1. If two points of a line lie on a plane, then the line also lies on a plane.

Points A and B lie on plane M.

Conclusion:

Law of logic:.

2.Complements of congruent angles are congruent.

Angles 1 and 2 are complementary angles

Angles 2 and 3 are complementary angles.

Conclusion:

Law of logic:

3. If angles A and B are vertical, then angles A and B are congruent.

If angles A and B are congruent, then their measures are equal.

Conclusion:

Law of logic:​

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Answer:

9. What conclusion can be obtained from the given statements?

If two planes intersect, then their intersection is a line.

Planes S and R intersect.

a. Planes S and R intersect at a line by the Law of Syllogism.

b. Planes S and R intersect at a point by the Law of Syllogism.

c. Planes S and R intersect at a line by the Law of Detachment

d. Planes S and R intersect at a point by the Law of Detachment.

19. What conclusion can be deduced from the following arguments?

Any three distinct noncollinear points lie on exactly one plane.

Points P and Q lie on line 1. Point R does not lie on line 1.

a. Points P, Q, and R lie on line 1.

b. Points P, Q, and R are collinear.

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c. Points P, Q, and R are coplanar.

d. Points P, Q, and R are noncoplanar.

20. What conclusion can be drawn from the following arguments?

If two distinct planes intersect, their intersection is a line.

Planes P and M are distinct planes that intersect.

Point R lies on both planes P and M.

Point S lies on both planes P and M.

a. Points R and S determine a line.

b. The intersection of planes P and M is RS.

c. Point R is the intersection of planes P and M.

d. Point S is the intersection of planes P and M.

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thank you po in advance

Use Deductive Reasoning To Form A Valid Conclusion From The Given Statem…

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