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Warm Up Monday March 24

Warm Up Monday March 24. What is the definition of a parallelogram? What do we need to prove if we are trying to prove a parallelogram?. EOCT Week 11 #1. Similar Polygons. 1. Corresponding angles are congruent. 2. Corresponding sides are proportional. Similarity Statement.  ABC ~  DEF.

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Warm Up Monday March 24

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  1. Warm Up Monday March 24 • What is the definition of a parallelogram? • 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. L A 5 cm S x 10 cm y 13 cm C B 24 cm T x = 26 cm y = 12 cm

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

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

  9. Find the perimeter of the smaller triangle. 12 cm 4 cm Perimeter = x Perimeter = 60 cm x = 20 cm

  10. 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 less than 1, but greater than 0, the shape gets smaller (reduction).

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

  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

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