Question

Which transformation confirms that rectangle ABCD and rectangle EFGH are similar?

A) Rectangle ABCD is rotated 90° clockwise about the origin and then dilated by a scale factor of 2 with the origin as the center of dilation.

B) Rectangle ABCD is rotated 90° clockwise about the origin and then dilated by a scale factor of 1 2 with the origin as the center of dilation.

C) Rectangle ABCD is rotated 90° counterclockwise about the origin and then dilated by a scale factor of 2 with the origin as the center of dilation.

D) Rectangle ABCD is rotated 90° counterclockwise about the origin and then dilated by a scale factor of 1 2 with the origin as the center of dilation.

Answer 1

D is correct






good luck

Answer 2

Option D is correct.

Explanation:

We are given that,

'Rectangle ABCD is translated to map onto the rectangle EFGH'.

That is, 'Rectangle ABCD is similar to rectangle EFGH'.

So, we see that,

Rectangle ABCD is rotated towards the left and then decreased in size to map onto EFGH.

That is, we have,

Rectangle ABCD is rotated counter-clockwise by 90° about the origin and then dilated by a factor of
`(1)/(2)` with the origin as the center of dilation.

Hence, option D is correct.