Decide If Side and Angle Conditions Make a Triangle
Written by Adi Ackerman, Head Teacher
"Decide If Side and Angle Conditions Make a Triangle" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.A.2. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.
7th grade math worksheet: decide if side and angle conditions make no, one or many triangles, with a sketch for each. Answer key included. Part of our constructing shapes and cross sections geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Use them after students know how to measure with a ruler and protractor. Have students sketch before they write a name, and use the answer keys to check reasoning.
What students will practice
- Students will decide whether a set of side lengths or angle measures makes no triangle, one triangle or many triangles.
- Students will explain their reasoning in writing for each set of conditions.
- Students will sketch a triangle when the given measures allow one.
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Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference
Curriculum Links
Common Core State Standards
Geometry · 7th Grade
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.
View all 7.G.A.2 worksheets →Find this in the curriculum
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FAQ
How do I use this constructing shapes and cross sections worksheet?
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Use them after students know how to measure with a ruler and protractor. Have students sketch before they write a name, and use the answer keys to check reasoning.
What does this worksheet teach?
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Decide if side and angle conditions make no, one or many triangles, with a sketch for each. The directions on the page read: Decide how many triangles fit each set of measures. Circle no, one or many and write your reason on the lines. If a triangle exists, sketch one in the box. An answer key is included.
Can I use this constructing shapes and cross sections worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you know if three side lengths make a triangle?
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Add each pair of sides. A triangle exists only if each sum is greater than the third side. The Triangle Inequality With Side Lengths worksheet has students test sets such as 3, 4, 5 and 2, 3, 6.
What is a cross section?
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A cross section is the flat shape you get when a plane slices through a solid. Cutting a square prism straight across gives a square, and other cuts can give a rectangle or another shape.
What tools do students need for these worksheets?
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The Construct Shapes From Given Measures worksheet needs a ruler and a protractor. The other sheets in this group need only a pencil.
Do these worksheets have answer keys?
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Yes. All 5 worksheets in this group have answer keys.
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Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference