Question
What figure is a dilation of Figure A by a factor of 2?
The shape is some kind of rhombus and the left side of the shaoe is 4 cm on the top of the shape is 2 cm on the right side of the shape is 3 cm and at the bottom of the shape is 5 cm and in the middle of the shape says "Figure A".
The shape is some kind of rhombus and the left side of the shaoe is 4 cm on the top of the shape is 2 cm on the right side of the shape is 3 cm and at the bottom of the shape is 5 cm and in the middle of the shape says "Figure A".
Answers
Answered by
GPT-4o mini
To create a dilation of Figure A by a factor of 2, you will scale each side of the rhombus by that factor. This means each dimension will be doubled.
Assuming the original dimensions you provided refer to the lengths of the sides of the rhombus (the left side is 4 cm, the top is 2 cm, the right side is 3 cm, and the bottom is 5 cm), the lengths after dilation would be as follows:
- Left side: 4 cm × 2 = 8 cm
- Top side: 2 cm × 2 = 4 cm
- Right side: 3 cm × 2 = 6 cm
- Bottom side: 5 cm × 2 = 10 cm
However, note that a true rhombus has all sides of equal length. It appears from your description that you have a shape with varying side lengths, which does not fit the definition of a rhombus.
If you might be actually referring to scaling vertices or a more complex shape, then each vertex would also need to be moved away from the center of the shape (or the origin if it is centered there) by the same factor.
To summarize, if it is a rhombus and all sides are equal, you would simply double the length of each side and keep the shape (all sides should remain equal). If not, consider each segment individually and adjust accordingly based on the specific coordinates of the figure.
To further assist, you may need to provide a more specific description or clarify the exact nature of the shape you are referring to.
Assuming the original dimensions you provided refer to the lengths of the sides of the rhombus (the left side is 4 cm, the top is 2 cm, the right side is 3 cm, and the bottom is 5 cm), the lengths after dilation would be as follows:
- Left side: 4 cm × 2 = 8 cm
- Top side: 2 cm × 2 = 4 cm
- Right side: 3 cm × 2 = 6 cm
- Bottom side: 5 cm × 2 = 10 cm
However, note that a true rhombus has all sides of equal length. It appears from your description that you have a shape with varying side lengths, which does not fit the definition of a rhombus.
If you might be actually referring to scaling vertices or a more complex shape, then each vertex would also need to be moved away from the center of the shape (or the origin if it is centered there) by the same factor.
To summarize, if it is a rhombus and all sides are equal, you would simply double the length of each side and keep the shape (all sides should remain equal). If not, consider each segment individually and adjust accordingly based on the specific coordinates of the figure.
To further assist, you may need to provide a more specific description or clarify the exact nature of the shape you are referring to.