{60 points} the isosceles trapezoids, abcd and efgh, are similar quadrilaterals. the scale factor between the trapezoids is 2: 3, line segment gh = 6 centimeters, line segment ad = 8 centimeters, and line segment ab is three times the length of line segment dc. use complete sentences to answer the following prompts and include all of your calculations in your final answer. 1. write a similarity statement for each of the four pair of corresponding sides. 2. write a congruence statement for each of the four pair of angles. 3. determine the perimeter for each of the isosceles trapezoids.

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent