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G-CO.12 Warmup M1-035-A09-V03

Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.

Determine whether side lengths can form a constructed triangle

Problem

Analyze the displayed side lengths with the triangle inequality, relate the result to the construction circles' intersections, and determine feasibility, the number of mirror-image constructions, and the triangle type.

Base AB has length 8; the circles centered at A and B each have radius 5; the circles intersect at two points. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.12
Category
Geometry
Domain
Congruence
Objective
Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.
Problem type
Determine whether side lengths can form a constructed triangle