Ratio, Proportion, and Similarity 7-3 Similar Polygons
Similar Polygons <ul><li>Two polygons are similar if their vertices can be paired so that: </li></ul><ul><ul><li>Correspon...
If these triangles are similar, what is AB? <ul><li>6 </li></ul><ul><li>8 </li></ul><ul><li>10 </li></ul><ul><li>12 </li><...
If the corresponding angles of two polygons are congruent, must the polygons be similar? <ul><li>Yes </li></ul><ul><li>No ...
If the corresponding sides of two polygons are in proportion, must the polygons be similar? <ul><li>Yes </li></ul><ul><li>...
Two polygons are similar.  Do they have to be congruent? <ul><li>Yes </li></ul><ul><li>No </li></ul>9 25 24 23 22 21 20 19...
Two polygons are congruent.  Do they have to be similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>0 25 24 23 22 21 20 19...
Are all regular pentagons similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 ...
SPICSA <ul><li>Page 250 2-22 even </li></ul>
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7 3 Similar Polygons

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7 3 Similar Polygons

  1. 1. Ratio, Proportion, and Similarity 7-3 Similar Polygons
  2. 2. Similar Polygons <ul><li>Two polygons are similar if their vertices can be paired so that: </li></ul><ul><ul><li>Corresponding angles are congruent </li></ul></ul><ul><ul><li>Corresponding sides are in proportion </li></ul></ul>
  3. 3. If these triangles are similar, what is AB? <ul><li>6 </li></ul><ul><li>8 </li></ul><ul><li>10 </li></ul><ul><li>12 </li></ul><ul><li>14 </li></ul>A C B E F D 12 30 21 ? 20 14 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  4. 4. If the corresponding angles of two polygons are congruent, must the polygons be similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
  5. 5. If the corresponding sides of two polygons are in proportion, must the polygons be similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  6. 6. Two polygons are similar. Do they have to be congruent? <ul><li>Yes </li></ul><ul><li>No </li></ul>9 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  7. 7. Two polygons are congruent. Do they have to be similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  8. 8. Are all regular pentagons similar? <ul><li>Yes </li></ul><ul><li>No </li></ul>0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  9. 9. SPICSA <ul><li>Page 250 2-22 even </li></ul>

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