Unit 1, Lesson 2

A Triangle’s Sides

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Integrated Math 2

Practice

Problem 1

Which 3 lengths create a triangle?

3, 4, 7
10, 10, 25
15, 15, 25
17, 20, 50

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Problem 2

Triangle $ABC$ has two known side lengths. Side $AB$ is 17 inches long, and side $BC$ is 8 inches long. What must be true about the length of side $AC$?

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Problem 3

A school bus picks up Han, Diego, and Lin. First, the bus picks up Han from his house. Then the bus drives 8 kilometers along a straight road and picks up Lin. Next, the bus picks up Diego. The bus drives 10 kilometers from Lin down another straight road to Diego. Could the distance between Han’s house and Diego’s house be 20 kilometers? Explain your reasoning.

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Problem 4

from an earlier course

Which of the these rigid motions maps triangle $ABC$ to triangle $A’B’C’$?

Rotate triangle $ABC$ 90 degrees clockwise around point $B$.
Translate triangle $ABC$ by a directed segment that takes point $A$ to $A’$.
Reflect triangle $ABC$ over side $BC$.
not enough information

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Problem 5

from an earlier course

Quadrilateral $ABCD$ is transformed and the image is $A’B’C’D’$. Which of the following rigid motions maps quadrilateral $ABCD$ to quadrilateral $A’B’C’D’$?

Rotate $ABCD$ 90 degrees clockwise around point $C$.
Translate quadrilateral $ABCD$ by a directed segment that takes point $A$ to $A’$.
Reflect $ABCD$ over side $BC$.
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A Triangle’s Sides

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Lesson 2 Resources