Question

Determine the type of transformation that was performed then explain your reasoning. In addition, write which figure is the pre-image and image.

a) Translation; Pre-image is Figure A, Image is Figure B
b) Reflection; Pre-image is Figure B, Image is Figure A
c) Rotation; Pre-image is Figure A, Image is Figure B
d) Dilation; Pre-image is Figure B, Image is Figure A

Answer 1

The type of transformation is a dilation, where Figure B is the pre-image and Figure A is the image.

Step-by-step explanation:

The correct answer is d) Dilation; Pre-image is Figure B, Image is Figure A.

A dilation is a transformation that changes the size of a figure, either enlarging or reducing it. In this case, the pre-image (original figure) is Figure B, and the image (resulting figure) is Figure A. This means that Figure A is a scaled version of Figure B, either expanded or contracted.

To confirm that it is a dilation, we can check if all the corresponding points on Figure A can be obtained by multiplying the corresponding points on Figure B by a scale factor. If this is true, then all points have been stretched or shrunk proportionally to each other, indicating a dilation.