Geometry study guide

Question

Prove that the two circles shown below are similar.

https://cdn.flvs.net/assessment_images/educator_geometry_v19/09_08_9.gif

Answer 1

Two figures can be shown to be similar if one can be obtained from the other through a series of transformations including translations, reflections, rotations and dilations.

To accomplish this for the two circles:

1) Translate circle B eight units to the right

2) Translate circle B one unit down.

3) Dilate circle B by a factor of one half. circle B will overlay circle A exactly.

Answer 2

Ridiculous question. Similar figures have the same shape yet not the same size. All circles have the same shape. All circles are similar. The same applies to all squares, regular polygons.