Problem preview
G-CO.1 Warmup M1-034-A06-V01

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

Determine whether lines are perpendicular

Problem

Are lines \(AB\) and \(CD\) perpendicular? Use this evidence: they intersect to form a marked \(90^{\circ}\) angle.

Big Picture

What this problem is really about

A line relationship must be justified by marked or measured geometry, not by orientation on the page. We’ll translate the angle marking at the intersection into its exact measure, then use the definition that connects that measure to the relationship between the two lines.

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Four variants of this problem type
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
Determine whether lines are perpendicular