Identify the transformation that carries the figure onto itself. a) reflect across the line x = 6 and rotate 900° clockwise about (6, 7) b) reflect across the line y = 7 and rotate 990° clockwise about (6, 7) c) reflect across the line x = 7 and rotate 900° clockwise about (6, 7) d) reflect across the line y = 6 and rotate 990° clockwise about (6, 7)

The correct option is A.

Step-by-step explanation:

The coordinates of rectangle are (5,5), (7,5),(7,9) and (5,9).

If the reflected across the line x=6, it will give the same rectangle because x=6 is line of symmetry.

It means 900 degree clockwise means 180 degree clockwise about (6,7).

Since (6,7) is a center of rectangle. If a rectangle rotated at 180 degree clockwise about center, then it will give the same rectangle.

If a figure rotates 180 degree clockwise about origin, then

If a figure rotates 180 degree clockwise about (a,b), then

The coordinates after reflection are (5,5), (7,5),(7,9) and (5,9).

The coordinates after rotation are

The coordinates after reflection followed by rotation are (5,5), (7,5),(7,9) and (5,9).

After the transformation the figure onto itself. Therefore option A is correct.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.