CCSS.Math.Content.7.G.A.2
The Standard
Draw (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.
Common Core State Standards for Mathematics · Geometry
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students draw triangles freehand, with rulers and protractors, and with geometry software from given measurements. They decide whether the measurements make one triangle, several triangles, or no triangle.
What Mastery Looks Like
- Students accurately construct triangles from given side lengths and angle measures using appropriate tools. They classify the result as unique, multiple, or impossible and justify the choice with angle sums or side lengths.
Common Misconceptions
- Students may assume any three side lengths can form a triangle. They may think three angle measures fix a triangle’s size, or overlook inaccurate ruler and protractor use.
How to Assess It
- Give these sets: sides 4, 6, 7; sides 4, 6, 11; angles 50°, 60°, 70°. Students sketch, classify each as unique, multiple, or impossible, and give one reason.
Lesson moves
Ways to Teach It
Give pairs straws cut to listed lengths, then have students choose a third straw and test which sets close into triangles.
Ask students to explain why angles of 40°, 60°, and 80° allow different-sized triangles, using two labeled sketches.
Have pairs sort measurement cards into unique, multiple, or impossible groups, then check each other’s constructions with rulers and protractors.
Present roof truss measurements and ask students whether a builder has enough information to make one exact triangular frame.
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Printable 7.G.A.2 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.7.G.A.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetWhat This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.HSG-CO.D.13
Drawing shapes from given side and angle conditions supports planning exact constructions of regular polygons that meet circle constraints.
- CCSS.Math.Content.HSG-CO.D.12
Interpreting geometric conditions and drawing figures with tools supports later exact constructions, though the high school routines are more formal and specific.
Keep exploring
Related Standards
- CCSS.Math.Content.4.G.A
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
- CCSS.Math.Content.2.G.A.1
Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pe...
- CCSS.Math.Content.7.G.A
Draw, construct, and describe geometrical figures and describe the relationships between them.
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