Problem preview
G-CO.1 Warmup M1-034-A01-V01

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

Identify a plane from a geometric description

Problem

Identify the geometric object described by a flat surface extending without end through points \(A\), \(B\), and \(C\).

Big Picture

What this problem is really about

The object’s dimension and extent matter more than the finite boundary used to draw it. We’ll match a flat two-dimensional surface extending without end to its precise geometric definition, then verify that the three labeled points are noncollinear. That point configuration determines a unique surface and supplies the naming convention.

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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
Identify a plane from a geometric description