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G-CO.1 Warmup M1-034-A03-V01

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

Name an angle using three-point notation

Problem

Name the angle with vertex \(B\) and points \(A\), \(C\) on its sides.

Labeled angle with vertex B, point A on the left ray, and point C on the right ray. Open full size
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What this problem is really about

Three-point angle notation encodes the vertex by putting it in the middle, while the outer letters identify points on the two sides. We’ll locate the common endpoint in the diagram, fix that letter in the center position, and place the two side points around it. Reversing the outer letters will show why two names can describe the same angle.

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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
Name an angle using three-point notation