Lesson 6
Building Polygons (Part 1)
Problem 1
A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths? If so, describe it.
Solution
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Problem 2
Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.
Solution
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Problem 3
Find \(x\), \(y\), and \(z\).
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Solution
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(From Unit 7, Lesson 3.)Problem 4
How many right angles need to be put together to make:
- 360 degrees?
- 180 degrees?
- 270 degrees?
- A straight angle?
Solution
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(From Unit 7, Lesson 1.)Problem 5
Solve each equation.
\(\frac17(x+\frac34)=\frac18\)
\(\frac92=\frac34(z+\frac23)\)
\(1.5=0.6(w+0.4)\)
\(0.08(7.97+v)=0.832\)
Solution
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(From Unit 6, Lesson 8.)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.
Solution
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(From Unit 4, Lesson 3.)