Which scale drawing is a dilation that increased the size of the original object it represents?(1 point) Figure 1: chair Figure 2: tree Figure 3: nut Figure 4: house
Figure
1: chair. Because, let's face it, making a nut the size of a house would be nuts!
In order to determine which scale drawing is a dilation that increased the size of the original object it represents, you need to compare the scale of each drawing to the size of the original object. A dilation refers to the transformation that changes the size of an object without changing its shape.
To do this, look for a scale factor greater than 1, as this indicates an increase in size. The scale factor is the ratio of any corresponding lengths in the original object and its representation.
For example, let's check the scale factors for each of the given figures:
1. Chair: Compare the dimensions of the chair in the drawing to the actual chair. If any corresponding lengths are multiplied by a factor greater than 1, then it is a dilation that increased the size of the original object. If not, move to the next figure.
2. Tree: Similarly, compare the dimensions of the tree in the drawing to the actual tree. Look for any lengths that are multiplied by a factor greater than 1. If found, this is the dilation that increased the size of the original object. If not, move to the next figure.
3. Nut: Repeat the same process for the nut, comparing dimensions and checking for a scale factor greater than 1.
4. House: Finally, compare the dimensions of the house in the drawing to the actual house, looking for any lengths multiplied by a factor greater than 1.
By examining the scale factors of each figure, you can determine the scale drawing that represents a dilation increasing the size of the original object.