Questions: course.apexlearning.com 3.3.2 Quiz: Impossible Problems from Antiquity Question 2 of 10 Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra. A. True B. False SUBMIT PREVIOUS

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3.3.2 Quiz: Impossible Problems from Antiquity

Question 2 of 10
Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra.
A. True
B. False
SUBMIT
PREVIOUS

Transcript text: course.apexlearning.com 3.3.2 Quiz: Impossible Problems from Antiquity Question 2 of 10 Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra. A. True B. False SUBMIT PREVIOUS

Solution

Solution Steps

The question is a true or false statement about the impossibility of trisecting a line segment using only a straightedge and compass. This is a theoretical question rather than a computational one, so no Python code is needed to solve it. The statement is false; trisecting a line segment is possible with a straightedge and compass, unlike trisecting an angle, which is proven impossible.

Step 1: Understanding the Problem

The question asks whether trisecting a line segment using only a straightedge and compass is impossible. This is a theoretical question related to classical geometry.

Step 2: Analyzing the Statement

The statement claims that trisecting a line segment is impossible. However, it is known that it is indeed possible to trisect a line segment using a straightedge and compass. The confusion often arises from the impossibility of trisecting an angle, which is a different problem.

Step 3: Conclusion

Since the statement in the question is false, we conclude that trisecting a line segment is possible with the given tools.