Question

(from unit 1, lesson 4.) 7. here are 2 points in the plane. explain how to construct a line segment that is half the length of segment ab. (from unit 1, lesson 3.)

Explanation:

Step1: Construct segment AB

Draw the line segment connecting points \( A \) and \( B \).

Step2: Find the midpoint

Use a compass and straightedge (or a ruler) to find the midpoint \( M \) of segment \( AB \). This can be done by constructing the perpendicular bisector of \( AB \) (or by measuring and dividing the length by 2). The segment \( AM \) (or \( MB \)) will be half the length of \( AB \), since the midpoint divides the segment into two equal parts.

Answer:

To construct a line segment half the length of \( AB \): 1. Draw segment \( AB \). 2. Find its midpoint \( M \) (e.g., via perpendicular bisector or measurement). Then \( AM \) (or \( MB \)) is half of \( AB \).