1. Similar polygons

2. If two polygons are similar, then their corresponding angles are congruent or have equal measures, and the ratios of their corresponding sides are proportional ΔABD ≅ ΔEFG Symbol form: <A ≅ <E <B ≅ <F <D ≅ <G AB BD AD EF FG EG == 35 cm 42 cm

3. What is the value of X? 12 48 8 X = 12 X48 8 = 12X = 384 X = 32 8 12 X 48 What scale factor was used to create the smaller shape? 12  ? = 8 ? = 8/12 The scale factor is 0.67 or 2/3 48  0.67 48  2/3 32.16 or 32

4. X 6 15 25 = X 256 15 = 25X = 90 X = 3.6 What is the value of X? X 6 15 25 10 8 What scale factor was used to create the smaller shape? 6  ? = 25 ? = 25/6 The scale factor is 4.167 or 4 1/6 15 ÷ 4.167 15 ÷ 4 1/6 3.599 or 3.6

5. If two polygons are similar, then their corresponding angles are congruent or have equal measures, and the ratios of their corresponding sides are proportional Symbol form: 35 cm 42 cm

6. What is the value of X? = = = X = 8 12 X 48 What scale factor was used to create the smaller shape?

7. = = = X = What is the value of X? X 6 15 18 10 8 What scale factor was used to create the smaller shape?