Use this "Triangle Possibilities" partner activity to give students practice constructing triangles with rulers and protractors according to descriptions. Some conditions are not possible and others have multiple possibilities.
The PDF comes with a task card version and a quicker prep printout version. Students attempt to draw 12 triangles described. This part of the activity helps students see if certain conditions are possible. The second part of the activity will help students see if certain conditions create unique triangles with a gallery walk to view everyone's triangles. Answer Guide is included.
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This activity is great for middle or high schoolers. In middle school, the focus can be on correctly creating the triangles and noticing when conditions are possible. In high school, this lesson is a great lead in for congruent triangle postulates (SSS, SAS, ASA, AAS, HL) and similar triangle postulates (AA, SSS, SAS).
Common Core Standard:
CCSS.Math.Content.7.G.A.2Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Building toward: HSG.CO.B.8 and HSG.SRT.A.3
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