QuestionIf a figure is a square, what can we conclude about its angles and sides using the Law of Syllogism?
Studdy Solution
STEP 1
Assumptions1. If a figure is a square, then the figure has four congruent sides. . If a figure is a square, then the figure has four right angles.
STEP 2
The Law ofyllogism states that if we have two conditional statements where the conclusion of one statement is the hypothesis of the next statement, we can form a new conditional statement.In this case, we can see that the conclusion of the first statement ("the figure has four congruent sides") is not the hypothesis of the second statement ("If a figure is a square"), and vice versa. Therefore, we cannot directly apply the Law ofyllogism.
STEP 3
However, we can see that the hypothesis of both statements is the same ("If a figure is a square"). This allows us to combine the conclusions of both statements into a new conditional statement.
STEP 4
The new conditional statement is "If a figure is a square, then the figure has four congruent sides and four right angles."
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