Unit 2, Lesson 8
Similar Triangles
Grade 8
Practice
Problem 3
In the figure, line segment \(BC\) is parallel to line segment \(DE\).
Explain why triangle \(ABC\) is similar to triangle \(ADE\).
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Problem 4
The quadrilateral \(PQRS\) in the diagram is a parallelogram.
Let \(P’Q’R’S’\) be the image of \(PQRS\) after applying a dilation centered at a point \(O\) (not shown) with scale factor 3.
Which of the following is true?
Problem 5
Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q.
Two quadrilaterals in an x y plane. Vertical axis from negative 5 to 6 by 1s. Horizontal axis from negative 2 to 12 by 1s. Quadrilateral, labeled P, has points at 3 comma 3, 6 comma 6, 4 comma 1, and 4 comma 4. Quadrilateral, labeled Q, has points at 7 comma negative 4, 12 comma negative 6, 10 comma negative 3, 10 comma negative 4.