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8 -2 Similar Polygons

8 -2 Similar Polygons. Unit 8 Similarity. Notes. Similar figures have the same shape, but not necessarily the same size. Notes.

matthew-trujillo
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8 -2 Similar Polygons

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  1. 8-2 Similar Polygons Unit 8 Similarity

  2. Notes • Similarfigures have the same shape, but not necessarily the same size.

  3. Notes • In congruent polygons, corresponding angles and sides are equal. In similar polygons, corresponding angles are still equal but corresponding sides are proportional.

  4. And

  5. Notes • The scalefactor of two similar shapes is the (reduced) ratio of corresponding parts. • The scale factor of ΔABC to ΔDEF is ___________.

  6. Notes • If all corresponding parts of figures are proportional, then they are similar.

  7. Examples • 1.) • A.) What are the pairs of congruent angles? • B.) What is the extended proportion for the ratios of corresponding side lengths?

  8. Examples • 2.) Are the polygons similar? If they are, write a similarity statement and give the scale factor. • A.) ABC and FED

  9. Examples • 2.) Are the polygons similar? If they are, write a similarity statement and give the scale factor. • B.) LMNO and QRST

  10. Notes • In a scaledrawing, all lengths in the drawing are proportional to their corresponding actual lengths. The scale is the ratio of lengths in the drawing to the actual size. • For example, a map is always proportional to the actual distance and a scale is always provided.

  11. Examples • 3.) WXYZ ~RSTZ. What is the value of x?

  12. Examples • 4.) Jan uses overhead projector to enlarge a picture 5 in. high and 7 in. wide. She projects the picture on a blackboard 4 ft 2 in. high and 12 ft wide. What are the dimensions of the largest picture that can be projected on the blackboard?

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