Which sequence of transformations correctly maps the dashed triangle onto the solid?
1 point
8
4
S
4
12
4
S
4
s
O Rotate 90 counterclockwise about the origin, Translate (-4,2)
Rotate 90'counterclockwise about the origin, Translate (4-2)
O Translate (-4,2). Rotate 90'counterclockwise about the origin
O Translate (4-2), Rotate 90 counterclockwise about the origin
O None of the above

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

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

x=-6