Which series of transformations shows that rectangle a is similar to rectangle b?

a. reflect rectangle a over the y-axis and dilate it by a scale factor of 3 with the center of dilation at the origin.
b. dilate rectangle a by a scale factor of 2 with the center of dilation at the origin and rotate it 180° clockwise about the origin.
c. translate rectangle a 5 units up and dilate it by a scale factor of 3 with the center of dilation at the origin.
d. dilate rectangle a by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

Step-by-step explanation:

We are two rectangles, A and B, and to determine whether which series of transformations show that A is similar to rectangle B.

The coordinates of rectangle A are: (1, 1), (1, -1), (-2, 1) and (-2, -1) while the coordinates of the rectangle B are: (3, 6), (3, -3), ((-3, 6) and (-3, -3).

To transform rectangle A into rectangle B, we need to dilate A by a scale factor 3 and then rotate it 90 degrees clockwise through the origin.

Therefore, the correct answer option is D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

d.192

step-by-step explanation:

12*16=192

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12