Question

Trapezoid EFGH has coordinates E (−3, 4), F (1, 4), G (3, 1), and H (−5, 1). Trapezoid EꞌFꞌGꞌHꞌ has coordinates Eꞌ (−12, 16), Fꞌ (4, 16), Gꞌ (12, 4), and Hꞌ (−20, 4). Trapezoid EꞌꞌFꞌꞌGꞌꞌHꞌꞌ has coordinates Eꞌꞌ (12, −16), Fꞌꞌ (−4, −16), Gꞌꞌ (−12, −4), and Hꞌꞌ (20, −4).

Which transformations describe why trapezoids EFGH and EꞌꞌFꞌꞌGꞌꞌHꞌꞌ are similar?


A.
Trapezoid EFGH was rotated 90° clockwise and then dilated by a scale factor of 4.

B.
Trapezoid EFGH was dilated by a scale factor of 4 and then rotated 180° counterclockwise.

Answer 1

C.
Trapezoid EFGH was dilated by a scale factor of 1/4 and then reflected across the x-axis.

D.
Trapezoid EFGH was translated 4 units right and 4 units up and then rotated 180° clockwise.

Answer 2

notice how all the coordinates from the first fiiggure to the second figure have been multiplied by 4

Answer 3

Dilation is from my multiplication of a number
So we have a dilation by a factor of 4
and rotating the coordinates gives you the negative of the numbers

for example if you look at the number line