Identify the transformation that carries the figure onto itself. a) reflect across the line x = −5 and rotate 180° clockwise about (−3, −8) b) reflect across the line y = −5 and rotate 180° clockwise about (−3, −8) c) reflect across the line x = −3 and rotate 630° clockwise about (−3, −8) d) reflect across the line y = −3 and rotate 630° clockwise about (−3, −8)

fwms@lil_ben06

step-by-step explanation:

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: a. 40 sq. units

step-by-step explanation:

pretty simple, since the rectangle is 80 and the triangle is half of it, divide by 2. you'll get 40 afterwards.

hope it ; d.