Geometry

Lesson 12

Objective

Draw two-dimensional geometric shapes using rulers, protractors, and compasses. 

Common Core Standards

Core Standards

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  • 7.G.A.2 — 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.

  • 7.G.B.5 — Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Foundational Standards

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  • 4.MD.C.6

Criteria for Success

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  1. Use a protractor to draw angles of given measures and determine measurements of drawn angles.
  2. Use a compass to draw circles with given measurements.
  3. Understand that more than one quadrilateral can be formed using the same set of side lengths. 

Tips for Teachers

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The following materials are needed for this lesson: rulers, protractors, compasses, and blank paper. Provide students with the tools at the beginning of the class, and discuss which tools are needed for each problem (MP.5). 

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Anchor Problems

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Problem 1

Draw vertical angles so that one angle is 125°. Label each angle formed with its measurement.  

Guiding Questions

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References

EngageNY Mathematics Grade 7 Mathematics > Module 6 > Topic B > Lesson 6Exploratory Challenge #3

Grade 7 Mathematics > Module 6 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Problem 2

Draw a rectangle with dimensions 3 inches x 5 inches.

Can you draw a different quadrilateral with side lengths 3 in., 3 in., 5 in., and 5 in.? If so, draw the shape and name it. 

Guiding Questions

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Problem 3

Draw a segment $${AB}$$ that measures 3 cm. Use a compass to construct two circles:

  • a circle with center $$A$$ and radius $${AB}$$
  • a circle with center $$B$$ and radius $$BA$$

Guiding Questions

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References

EngageNY Mathematics Grade 7 Mathematics > Module 6 > Topic B > Lesson 6Exploratory Challenge #8

Grade 7 Mathematics > Module 6 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Problem 4

A triangle has an angle measure of 50°. The two side lengths that form this angle are $$3$$ inches and $$4\frac{1}{2}$$ inches long. 

Draw the triangle described above. Then determine the measure of the third side and the other two angles.   

Guiding Questions

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Problem Set

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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.

  • Include examples of triangle constructions with angle measurements, including both angle measurements that make a triangle and those that do not add up to 180°. 

Target Task

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Problem 1

Draw a square with side lengths equal to 4 inches. Label your square $$ABCD$$.

Problem 2

Draw a circle with center at point E and a diameter of 8 cm. Draw and label the diameter as line segment $$FG$$.

Mastery Response

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