Problem preview

G-CO.1 Warmup M1-034-A12-V02

Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.

Replace casual geometry language with precise definitions

Problem

Rewrite “Segments \(AB\) and \(CD\) are the same size” precisely using segment-congruence notation, length equality, and the appropriate geometry term.

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notation = segment AB is congruent to segment CD, written AB̅≅CD̅; length equality = AB=CD; term = congruent segments; precise statement = AB̅≅CD̅ because their lengths are equal

notation = AB∥CD; length equality = AB=CD; term = parallel; precise statement = equal lengths imply parallel

notation = AB̅≅CD̅; length equality = endpoints coincide; term = congruent; precise statement = congruent segments share endpoints

notation = AB=CD; length equality = values match; term = same object; precise statement = the segments are identical objects

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Curriculum context

Course: Math I
Standard: G-CO.1
Category: Geometry
Domain: Congruence
Objective: Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.
Problem type: Replace casual geometry language with precise definitions