Geometry | Unit 3 | Lesson 11: Splitting Triangle Sides with Dilation, Part 2 | Practice Problems

Segment \(A’B’\) is parallel to segment \(AB\). What is the length of segment \(AB\)?

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What is the length of segment \(B’B\)?

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Explain how you know that segment \(DE\) is not parallel to segment \(BC\).

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In right triangle \(ABC\), \(AC=4\) and \(BC=5\). A new triangle \(DEC\) is formed by connecting the midpoints of \(AC\) and \(BC\). What is the area of triangle \(ABC\)?

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What is the area of triangle \(DEC\)?

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Does the scale factor for the side lengths apply to the area as well?

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Which of these statements is true?

• A: To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.

• B: To know whether 2 triangles are similar, it is enough to know the length of 1 side.

• C: To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.

• D: To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.

Are triangles \(ABC\) and \(DEF\) similar? Show or explain your reasoning.

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If possible, find the length of \(EF\). If not, explain why the length of \(EF\) cannot be determined.

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What is the length of segment \(DF\)?

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