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 \(AB\)?

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

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

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 \(ABC\)?

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

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

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.

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

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