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Summer Jobs: Shape Plans

Construct shapes for summer-job projects and determine whether side and angle conditions allow one, many, or no triangles.

Grade 7MathInteractive · Printable

Aligned to7.G.A.2

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

Students determine whether given side and angle conditions produce one, many, or no triangles.
Students construct a triangle and a rhombus from specified lengths and angles.
Students explain why reflected triangle constructions have the same size and shape.

How to use

Provide a ruler, compass, and protractor. Students should draw on separate paper if needed. Discuss why turning or reflecting a shape does not create a different size or shape.

Curriculum

Common Core standard covered

7.G.A.2

Draw shapes from given conditions, especially triangles from three angles or sides, and tell if there is one, many, or no triangle.

Preview

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Name Date

Summer Jobs: Shape Plans

Test and construct shapes for lawn-care layouts and babysitting activities.

Check the Project Plans

Maya and Andre mow lawns and babysit during the summer. Check their project plans. Count triangles as different only if their size or shape differs, not their position or orientation.

Maya plans a triangular lawn area with a perimeter of 23 m. Two sides must measure 6 m and 8 m. What do these conditions determine?

A. Many triangles, because only two sides are stated directly.
B. No triangle, because the third side would be too long.
C. One triangle, because the third side must be 9 m.
D. One triangle, because the third side must be 15 m.

For a babysitting craft, Andre plans an isosceles triangle. Its two equal sides meet at a 104° interior angle.

What is the measure of each of the other two interior angles? °

A triangular paper piece for a babysitting activity must have interior angles of 25°, 65°, and 90°. No length is specified. Which statement is correct?