Problem preview

G-CO.9 Warmup M2-036-A11-V03

Prove theorems about lines and angles: vertical angles, parallel-line angle relationships, and perpendicular bisectors.

Test both perpendicular-bisector conditions

Problem

Classify the candidate line using only the perpendicular-bisector definition: a candidate line is perpendicular to \(XY\) but crosses \(XY\) away from its midpoint.

Answer choices

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The candidate line is a perpendicular bisector because its crossing point is the midpoint.

Move the line to the midpoint instead of classifying it.

The candidate line is not a perpendicular bisector of XY because it does not pass through XY’s midpoint.

The candidate line is a perpendicular bisector because it is perpendicular to XY.

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Curriculum context

Course: Math II
Standard: G-CO.9
Category: Geometry
Domain: Congruence
Objective: Prove theorems about lines and angles: vertical angles, parallel-line angle relationships, and perpendicular bisectors.
Problem type: Test both perpendicular-bisector conditions