Similar Polygons Scale Factor Similar Polygons 1 Corresponding

Similar Polygons & Scale Factor

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

Similarity Statement ABC ~ DEF

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

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

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?

10/22/2021 Ratio of Similar Polygons Corresponding Sides : Corresponding Sides Or Perimeter : Perimeter A: B

10/22/2021 Ratio of Similar Polygons Area : Area 2 A : 2 B

10/22/2021 Ratio of Similar Polygons Volume: Volume 3 A : 3 B

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 A O DOG is 3: 2 y Find the value of y. 6 4 D C 10 G T y=4

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

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

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).

SCALE FACTOR. 6 2 original 14 original 6 new 10 7 new 3 5

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’( 0 , -4), H’( 2 , 6 ), and I’( 8 , 2 )

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’( 2 , -2 ), N’( 0 , 4 ), and M’( 1 , 5/4)

k = 1/2

k=2

Worksheet