Section B Section B Checkpoint

Problem 1

  1. Draw a triangle with side lengths 3 in, 4 in, and 6 in.
  2. Can you draw a different triangle with these same lengths? Explain how you know.
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Solution

  1. Sample response:

    A triangle with side lengths 6 inches, 4 inches, 3 inches.

  2. No. Sample reasoning: These 3 side lengths make a unique triangle.
Show Sample Response
Sample Response

  1. Sample response:

    A triangle with side lengths 6 inches, 4 inches, 3 inches.

  2. No. Sample reasoning: These 3 side lengths make a unique triangle.

Problem 2

Priya and Han each draw a triangle that has side lengths of 2 inches and 5 inches and an angle of 30∘30^\circ. Could they have drawn different triangles? Explain how you know.
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Solution
Yes. Sample reasoning: If one of them drew the 30∘30^\circ angle between the 2-inch and 5-inch sides, that would be a different triangle than if the other had put the 30∘30^\circ angle adjacent to one of the sides but not between them.
Show Sample Response
Sample Response
Yes. Sample reasoning: If one of them drew the 30∘30^\circ angle between the 2-inch and 5-inch sides, that would be a different triangle than if the other had put the 30∘30^\circ angle adjacent to one of the sides but not between them.