1. Warm Up Monday March 24 1. What is the definition of a parallelogram? 2. What do we need to prove if we are trying to prove a parallelogram?

2. EOCT Week 11 #1

3. Similar Polygons 1. Corresponding angles are congruent 2. Corresponding sides are proportional

4. Similarity Statement  ABC ~  DEF

5. Solve for x and y. x = 26 cm A B C S L T x 5 cm y = 12 cm 24 cm 10 cm 13 cm y

6. A B CD 6 x E F G H 18 27 x = 9 ABCD ~ EFGH. Solve for x.

7. Ex. A tree cast a shadow 18 feet long. At the same time a person who is 6 feet tall cast a shadow 4 feet long. How tall is the tree?

8. The ratio of the perimeters of two similar polygons equals the ratio of any pair of corresponding sides. A C T O D G 6 4 10 y The ratio of the perimeters of CAT to DOG is 3:2 Find the value of y. y = 4

9. 12 cm4 cm Perimeter = 60 cm Perimeter = x x = 20 cm Find the perimeter of the smaller triangle.

10. Scale Factor – the ratio of a new image to its original image The ratio of corresponding sides Scale Factor – the ratio of a new image to its original image The ratio of corresponding sides

11. Scale Factor When scale factor is greater than 1, the shape gets bigger (enlargement). When scale factor is l ess than 1, but greater than 0, the shape gets smaller (reduction).

12. SCALE FACTOR. 2 6 5 7 3 14 6 10 B D A C

13. Find the coordinates of the dilation image for the given scale factor, k. Example 1: G(0, -2), H(1, 3), and I(4, 1); k = 2 All you do is multiply k to (x, y). G’(, ), H’(, ), and I’(, )

14. Find the coordinates of the dilation image for the given scale factor, k. Example 2: L(8, -8), N(0, 16), and M(4, 5); k = 1/4 All you do is multiply k to (x, y). L’(, ), N’(, ), and M’(, )

15. k = 1/2

16. k = 2