Drawing Parallelograms

Examples, videos, and solutions to help Grade 7 students learn how to use a protractor, ruler, and setsquare to draw parallelograms based on given conditions.

New York State Common Core Math Grade 7, Module 6, Lesson 7

Worksheets for Grade 7

Lesson 7 Student Outcomes

• Students use a protractor, ruler, and setsquare to draw parallelograms based on given conditions.

Lesson 7 Summary

• Setsquares give us a means to draw parallel lines for the sides of parallelograms.

Lesson 7 Classwork
Opening (5 minutes)
A setsquare is a triangle with a right angle. It can be made out of plastic or out of paper. Have students create their own setsquares out of paper or cardstock.

Example 1
Use what you know about drawing parallel lines with a setsquare to draw rectangle with dimensions of your choice. State the steps you used to draw your rectangle, and compare those steps to those of a partner’s.

Example 2
Use what you know about drawing parallel lines with a setsquare to draw rectangle ABCD with AB = 3 cm and BC = 5 cm. Write a plan for the steps you will take to draw ABCD.

Example 3
Use a setsquare, ruler and protractor to draw parallelogram PQRS so that the measurement of ∠P = 50°, PQ = 5 cm, the measurement of ∠Q = 130°, and the altitude to PQ is 4 cm.

Exercise 1
Use a setsquare, ruler, and protractor to draw parallelogram DEFG so that the measurement of ∠D = 40°, DE = 6 cm, the measurement of ∠E = 140°, and the altitude to DE is 5 cm.

Example 4
Use a setsquare, ruler and protractor to draw rhombus ABCD so that the measurement of ∠A = 80°, the measurement of ∠B = 100°, and each side of the rhombus measures 5 cm.

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