Unit 7, Lesson 6
Building Polygons (Part 1)
Grade 7
Practice
Problem 1
A rectangle has side lengths of 6 units and 3 units. Can you make a different quadrilateral that also has two side lengths of 3 and two side lengths of 6? If so, describe it.
Problem 2
Come up with an example of three side lengths that cannot possibly make a triangle, and explain how you know.
Problem 3
Find \(x\), \(y\), and \(z\).
Problem 4
How many right angles need to be put together to make:
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360 degrees?
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180 degrees?
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270 degrees?
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A straight angle?
Solve each equation.
\(\frac17(x+\frac34)=\frac18\)
\(\frac92=\frac34(z+\frac23)\)
\(1.5=0.6(w+0.4)\)
\(0.08(7.97+v)=0.832\)
Problem 6
- You can buy 4 bottles of water from a vending machine for \$7. At this rate, how many bottles of water can you buy for \$28? If you get stuck, consider creating a table.
- It costs \$20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches? If you get stuck, consider creating a table.