Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.

Question

Mathematics

Efrain Zimmerman

19 December, 16:33

Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.

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Greene · Answer 1

There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.