Question

trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra.

a. true

b. false

Explanation:

Analyze the statement

The statement claims that trisecting a line segment using only a straightedge and compass was proven impossible by advanced algebra.

Evaluate the mathematical fact

Trisecting an arbitrary angle is a famous impossible classical construction problem. However, trisecting a line segment is entirely possible and relatively straightforward using standard compass and straightedge techniques (e.g., using parallel lines and intercept theorems).

Determine the truth value

Since a line segment can be trisected with a compass and straightedge, the statement is false.

Answer:

• A. True
• B. False (Correct answer)