Question

Which sequence of transformations shows that figure B is similar to figure A?

A.

Figure A was dilated by a scale factor of 1/2, with point N as the center of dilation, and then reflected across line m to form figure B.


B. Figure A was rotated 90° clockwise about point N and then dilated by a scale factor of 2, with point N as the center of dilation, to form figure B.


C. Figure A was dilated by a scale factor of 2, with point N as the center of dilation, and then rotated 90° counterclockwise about point N to form figure B.


D. Figure A was reflected across line m and then dilated by a scale factor of 1/2, with point N as the center of dilation , to form figure B.

Answer 1

The answer is (C)

Figure A was dilated by a scale factor of 2, with point N as a center of dilation, and then rotated about 90° counterclockwise about N to form figure B

Explanation:

∵ Figure B larger than figure A

∴ The scale factor > 1

∵ Figure A is in the first quadrant and figure B is in the second

quadrant and the horizontal side in A become vertical side in B

∴ Figure A rotated 90° anticlockwise

∴ The answer is C