IM 8.2.7 Practice: Similar Polygons

Triangle [math]DEF[/math] is a dilation of triangle [math]ABC[/math] with scale factor 2. In triangle [math]ABC[/math], the largest angle measures [math]82^\circ[/math]. What is the largest angle measure in triangle [math]DEF[/math]?

[math]82^\circ[/math] [math]41^\circ[/math] [math]123^\circ[/math] [math]164^\circ[/math]

Draw two polygons that are similar but could be mistaken for not being similar.

Explain why the two polygons you drew are similar.

Draw two polygons that are not similar but could be mistaken for being similar.

Explain why the two polygons you drew are [i]not[/i] similar.

These two triangles are similar. Find side lengths a and b. Note: the two figures are not drawn to scale.

Jada claims that B'C'D' is a dilation of BCD using A as the center of dilation.

What are some ways you can convince Jada that her claim is not true? (You can use the applet above to help you)

In the applet below,

Draw a horizontal line segment [math]AB[/math].[br]Rotate segment [math]AB[/math] [math]90^\circ[/math] counterclockwise around point [math]A[/math]. Label any new points.[br]Rotate segment [math]AB[/math] [math]90^\circ[/math] clockwise around point [math]B[/math]. Label any new points.[br]Describe a transformation on segment [math]AB[/math] you could use to finish building a square.