Each diagram has a pair of figures, one larger than the other. For each pair, show that the 2 figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes the smaller figure to the larger one.
Problem 2
Each figure shows a pair of similar triangles, one contained in the other. For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Use a measurement tool to find the scale factor.
Problem 3
Triangle \(DEF\) is a dilation of triangle \(ABC\) with scale factor 2. In triangle \(ABC\), the largest angle measures \(82^\circ\). What does the largest angle measure in triangle \(DEF\)?
\(41^\circ\)
\(82^\circ\)
\(98^\circ\)
\(164^\circ\)
Problem 4
Draw 2 polygons that are similar but could be mistaken for not being similar. Explain why they are similar.
Problem 5
Draw 2 polygons that are not similar but could be mistaken for being similar. Explain why they are not similar.