Unit 3, Lesson 7
Reasoning about Similarity with Transformations
Geometry
Practice
Problem 1
Sketch a figure that is similar to this figure. Label side and angle measures.
to access Practice Problem Solutions.
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
Sketch a figure that is similar to this figure. Label side and angle measures.
Write 2 different sequences of transformations that would show that triangles \(ABC\) and \(AED\) are similar. The length of \(AC\) is 6 units.
\(AC=6\)
Select all figures that are similar to Parallelogram \(P\).
Parallelogram \(P\)
Figure \(A\)
Figure \(B\)
Figure \(C\)
Figure \(D\)
Figure \(E\)
Figure \(A\)
Figure \(B\)
Figure \(C\)
Figure \(D\)
Figure \(E\)
Find a sequence of rigid transformations and dilations that takes square \(ABCD\) to square \(EFGH\).
Translate by the directed line segment \(AE\), which will take \(B\) to a point \(B’\). Then rotate with center \(E\) by angle \(B’EF\). Finally, dilate with center \(E\) by a scale factor of \(\frac{5}{2}\).
Translate by the directed line segment \(AE\), which will take \(B\) to a point \(B’\). Then rotate with center \(E\) by angle \(B’EF\). Finally, dilate with center \(E\) by a scale factor of \(\frac{2}{5}\).
Dilate, using center \(E\), by a scale factor of \(\frac25\).
Dilate, using center \(E\), by a scale factor of \(\frac52\).
Triangle \(DEF\) is formed by connecting the midpoints of the sides of triangle \(ABC\). What is the perimeter of triangle \(ABC\)?
Triangles \(FAD\) and \(DCE\) are each translations of triangle \( ABC\).
Explain why angle \(CAD\) has the same measure as angle \(ACB\).