To find: The valid conclusion from the given statements, if possible. Then state whether the conclusion was drawn using the Law of Detachment or the Law of Syllogism.
Answer to Problem 5CYP
The valid conclusion is given above.
Explanation of Solution
Given:
The given statements are as given below.
The mid-point divides segments into two congruent segments.
If two segments are congruent, then their measures are equal.
Rewrite the given statements as below:
(1): If a mid-point divides a line segments then two segments are congruent.
(2): If two segments are congruent, then their measures are equal.
Let
Since
Therefore, the valid conclusion is given above.
Chapter 2 Solutions
Geometry, Student Edition
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