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Similar Polygons
Some types of polygons
A polygon is a shape that has any
number of straight sides connected at
vertices(corners).

A triangle is a 3 sided polygon.

A square is a 4 sided polygon.
Polygons are similar when...

Two polygons have equal
corresponding angles

and

The corresponding sides are proportional




We have already studied a special case
of similar polygons

Similar triangles
Are these similar polygons???


        6
                                3
2                        1
Which of the following are similar polygons??


          10
                           6
                                          5
8
           A          5        B     4     C
H
           A
                                                                  0
               95
                    0
                                           E
                                                             95                          L
                                       0
               0
                                 160                                                 0
    B                                                        0
         100
                                                   I   100                     160
                                           0
                                   115
                                               D
                                                                                         0
                             0
                                                                                 115
                        70                                                                   K
                        C                                                  0
                                                                      70


 Name all of the corresponding angles                                 J




Set up proportions of all corresponding sides
Find the missing side HL


                                                                   H
                                                                         0
             A                                             2.25     95
                          2.2                                                                   L
    1.5          95
                      0                                                                     0
                                                                    0
                                         0
                                             E
                                                       I      100                     160           2.4
   B       100
                 0
                                   160           1.6
                                             0                                                  0
                                     115
                                                  D                                     115
                                                                                                      K
       3
                          70
                               0
                                                             4.5
                                         2.5                                      0
                          C                                                  70             3.75


                                                                             J
Find the missing sides HL, JK, BC, DE




                                                                       L
                          A                                        0        2.4
        0.75                                     H
    B                                                 0             0
                     95   0
                                                                  16            0
         10
           0     0                  1                95                      5          K
                                            2.25                           11
                              16    0   E                 0
                                0
                                                       0
                          11
                                                     10
                            5   0
        70   0
                                    D
                                             I                             0
C
                 2.7                                          4            70

                                                                                    J
Jan. 5 Similar Polygons
Read Pages 154-156

Do questions 2,3,5,6,10,12
pages 157-158

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Jan. 5 Similar Polygons

  • 2. Some types of polygons
  • 3. A polygon is a shape that has any number of straight sides connected at vertices(corners). A triangle is a 3 sided polygon. A square is a 4 sided polygon.
  • 4. Polygons are similar when... Two polygons have equal corresponding angles and The corresponding sides are proportional We have already studied a special case of similar polygons Similar triangles
  • 5. Are these similar polygons??? 6 3 2 1
  • 6. Which of the following are similar polygons?? 10 6 5 8 A 5 B 4 C
  • 7. H A 0 95 0 E 95 L 0 0 160 0 B 0 100 I 100 160 0 115 D 0 0 115 70 K C 0 70 Name all of the corresponding angles J Set up proportions of all corresponding sides
  • 8. Find the missing side HL H 0 A 2.25 95 2.2 L 1.5 95 0 0 0 0 E I 100 160 2.4 B 100 0 160 1.6 0 0 115 D 115 K 3 70 0 4.5 2.5 0 C 70 3.75 J
  • 9. Find the missing sides HL, JK, BC, DE L A 0 2.4 0.75 H B 0 0 95 0 16 0 10 0 0 1 95 5 K 2.25 11 16 0 E 0 0 0 11 10 5 0 70 0 D I 0 C 2.7 4 70 J
  • 11. Read Pages 154-156 Do questions 2,3,5,6,10,12 pages 157-158